if BCF ~ BDE solve for x

If BCF ~ BDE Solve For X

Answers

Answer 1

When Δ BCF is congruent to Δ BDE, then the value of x is obtained as 10.

What is congruence?

In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes.

It is given that Δ BCF ~ Δ BDE.

Since the triangles are congruent so, it can be written that -

BC/BD = BF/BE

Substituting the values in the equation -

52/(52 + 39) = 56/[(56) + (5x-8)]

Simplifying the equation -

52/91 = 56/[(56) + (5x-8)]

4/7 = 56/(48+5x)

4(48+5x) = 56 × 7

192 + 20x = 392

20x = 392 - 192

20x = 200

x = 200/20

x = 10

Therefore, the value of x is obtained as 10.

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Related Questions

How much chocolate will each person get if 4 people share
1/3
pound of chocolate equally?

Answers

Each person will receive two ounces of chocolate.

What is equality?

Equality in math is a concept that states that two values, expressions, or quantities are the same. It is symbolized by the equal sign "=" and is used to express that two values are equivalent. Equality is an important concept in math and is used in solving equations, simplifying expressions, and comparing different numbers. Equality can also be used to show that two quantities are balanced, such as in the equation x+7=10. Equality is a fundamental principle of mathematics that is used in many different areas.

If four people share one-third of a pound of chocolate equally, each person will receive approximately two ounces of chocolate. This can be calculated by dividing the total amount of chocolate (one-third of a pound) by the number of people (four), which gives 0.375 pounds per person. Since there are 16 ounces in a pound, 0.375 pounds is equal to six ounces. Since two of those ounces are not divisible into equal portions, each person will receive two ounces of chocolate.

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The midpoint of AB is M(1, -3). If the coordinates of A are (-6, -7),
what are the coordinates of B?

Answers

The coordinates of B are (-4, -1).

What do you mean by midpoint?

Midpoint is a point that is exactly halfway between two other points. It can refer to the center of a line segment between two points or the average value of a set of numbers. In geometry, the midpoint of a line segment is the point that divides it into two equal parts. In mathematics, the midpoint formula is used to find the midpoint of a line segment given the coordinates of its endpoints.

The midpoint of a line segment is found by taking the average of the coordinates of the endpoints. So for the midpoint M(1, -3), the coordinates of A and B are:

A(-6, -7), B(x, y)

The x-coordinate of M is the average of the x-coordinates of A and B, so:

(x - (-6)) / 2 = 1

Solving for x, we find:

x = -6 + 2 * 1 = -4

Similarly, the y-coordinate of M is the average of the y-coordinates of A and B, so:

(y - (-7)) / 2 = -3

Solving for y, we find:

y = -7 + 2 * (-3) = -1

Therefore, the coordinates of B are (-4, -1).

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A box contains 6 red marbles and
4 white marbles. One marble is pulled
from the box and not replaced. Then a
second marble is pulled from the box.
What is the probability both marbles
are white?
J 2
4
L
M
N
10
12
90
16
90
4
100

Answers

The probability both marbles are white is  54/125.

What is the probability?

6 red marbles and 4 white marbles.

One marble is pulled from the box and not replaced. Then a second marble is pulled from the box.

Total balls are = 6 Red and 4 White marbles = 10 balls

one white marble is drawn = 1 White and 2 Red marbles

10 balls total (made up of 6 red and 4 white marbles).

1 White and 2 Red Marbles in the event that just One White Marble Is Drawn

R W R; W R R; R R

Probability of drawing a single white marble is equal to 

3 (4 c1/10 c 1 )×(  6 C1 / 10  C 1 ) ×( 6 C 1 / 10  C 1 ) =  54/125

The probability both marbles are white is  54/125

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2 3/4 multiplication 3 1/5

Multiply use gif to simplify whenever possible

Answers

8.8 if I’m not wrong

Answer:

[tex]8 \frac{4}{5} [/tex]

Step-by-step explanation:

convert mixed numbers to fractions

[tex] \frac{11}{4} \times \frac{16}{5} [/tex]

multiply

[tex] \frac{176}{20} [/tex]

simplify

[tex]8 \frac{4}{5} [/tex]

The table gives the volume of cylinders where the height is a function of the radius of the base. Given radius, r, the height can be modeled with the function h(r), the base area of the of the cylinder with the function B(r), and the volume of the cylinder with the function V(r). Which values complete the table for h(r)?

Answers

The values of h(r) for the given r - values can be calculated by substituting the values of Volume and r into the formula,

⇒ V = πr²h

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

For the given table, we need to find the values of h(r) for the given r -values.

To do this, we can use the formula for the volume of a cylinder

⇒ V = πr²h.

We know that for a given r - value, the volume is given by the second column in the table. We can therefore substitute the values of V and r into the formula to calculate the corresponding h value.

For example, for r = 10, the corresponding volume is V = 4772. Substituting this into the formula, we get ;

⇒ h = 4772/(π10²)

       = 6472 cm.

This process can then be repeated for the remaining r - values to complete the table.

Thus, The values of h(r) for the given r - values can be calculated by substituting the values of V and r into the formula Volume = πr²h.

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Which choice is equivalent to the expression below?
√6 +18 +3√3-3√2 help a brotha out

Answers

Hope it helps.

If you have any query, feel free to ask.

what is the next number in the series 7, 11, 2, 18, -7

Answers

The next number in the series is 25.

What is number?

Number is a fundamental concept in mathematics, used to represent a quantity. It can be represented in many forms, such as an integer, a fraction, a decimal, and a ratio. Numbers are used to measure and quantify almost every physical phenomenon in the world. They form the basis of scientific principles, such as Newton's law of gravitation, and are used in everyday life for activities such as counting and calculating. Number is also an important concept in other disciplines, such as philosophy, psychology, and sociology.

This series follows a pattern of adding the previous two numbers together. Therefore, the next number in the series is the sum of 25 and -7, which is 32. This pattern can be continued indefinitely, with the next number in the series being 39 (32 + 7) and so on.

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PLEASE HELPPPPPP PLEASE

Answers

i think the answer is C

You have been asked to find the value of f(-5) for the function

f(x)=3x² -2x+5

Which of the following options is NOT a possible way to evaluate that function and find the correct answer?


A. Graph the equation and look at the table to find the y-value when x=-5


B. Graph the equation and find the y-value of the ordered pair when x=-5


C. Substitute (-5) wherever there is an x and solve using a calculator


D. See what x is when y=-5

Answers

Answer: D option is not the correct way to evaluate.

Step-by-step explanation: To find out f(x) which is also known as y.

so, f(x) = 3x^{2} - 2x + 5

f(-5) = 3 × 25 - 2(-5) + 5

= 75 + 10 + 5

= 90

Here we see here that four alternatives are given to find out but the option D is not appropriate.

A. By drawing a graph one can easily find out the value here we will try to find out the graph line and then by drawing it on the graph.

B.  Similar to option A we can find out using option B

C. I had also used the same method to calculate for the value of (-5) above so this option is also correct.

D. When y= -5 then if we find out it for x will not work as here we have to find out f(x) which is function of X i.e. simply Y. so this won't work.

The following option is not a possible way to evaluate that function:

See what x is when y=-5.

The correct option is D.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

We have a function,

f(x)=3x² -2x+5.

To find the solution:

Step 1:

Graph the equation and look at the table to find the y-value when x=-5

Alternate step :

Graph the equation and find the y-value of the ordered pair when x=-5

Or,

Substitute (-5) wherever there is an x and solve using a calculator.

Therefore, option D is not the right way to find the solution.

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The board game Life has a spinner with 10 equal spaces. What is the probability of NOT landing on the number 8?

Answers

The probability of not landing on the number 8 is 9/10.

What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Given is a the board game life has a spinner with 10 equal spaces.

Probability of getting a 8 -

P{E} = 1/10

Probability of not getting a 8 -

P'{E} = 1 - P{E} = 1 - 1/10 = 9/10

P'{E} = 9/10

Therefore, the probability of not landing on the number 8 is 9/10.

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cost to store=$160 markup= 25%

Answers

The original cost of the item, given the cost to the store and the markup, can be found to be $ 200

How to find the original cost ?

Given that the cost to the store is $ 160 and they would charge a  25 % markup on this cost, the original cost can be denoted as x and the formula would be:

x = Cost to store x ( 1 + markup percentage )

The original cost to the customer would then be:

= 160 x ( 1 + 25 %)

= 160 x 1 .25

= $ 200

The original cost charged by the store to the customer is $ 200.

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The question is:

Find the original cost that the store will charge to the customer. cost to store=$160 markup= 25%

For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number. 34,19

Answers

The two factors are 2 and 17.

What are Factors?

The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.

Given:

The numbers are 34 and 19.

Now, the factor of 34 = 2, 17

Now, multiply the factor, 17 x 2 = 34

and, the addition = 17 + 2 = 19 which is the second number.

Hence, the number are 2 and 17.

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3/4(x - 3)2 = 27

solve the quadratic equation using the most efficient method

please help!

Answers

After solving given quadratic equation, x=9.

What are quadratic equations ?

A quadratic equation is a second-degree algebraic equation in x. In its usual form, the quadratic equation is ax^2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first requirement for an equation to be a quadratic equation is that the coefficient of x^2 is not zero (a ≠ 0). When expressing a quadratic equation in standard form, the x^2 term comes first, then the x term, and lastly the constant term. The numeric values a, b, and c are commonly expressed as integral values rather than fractions or decimals.

Now,

As given

3/4(x-3)^2=27

(x-3)^2=36

x-3=6  (Taking square-root of 36 i.e. 6)

x=9

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Right equation=3/4(x-3)^2=27

24 is ​0.2% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than 24​, slightly less than 24​, slightly greater than 24​, or a lot greater than ​24? Explain.

Answers

I would expect the answer to be a lot greater than 24 which is 12000.

What is percentage?

Percentage is defined as the part of a whole value per 100 which is represented by the symbol%.

To find the number in which 24 is it's 0.2%, the following is carried out;

The number is represented as = x

That is, 0.2/100 × X = 24

0.2x/100 = 24

0.2x = 100×24

0.2x = 2400

X = 2400/0.2

X= 12000

Therefore, 24 is 0.2% of the number 12000 which can be said that it's alot greater than 24.

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When simplified, (-3x2 + 2x − 4) − (-2x2 − x + 4) is:
-x2 + 3x − 8.
-x2 + 3x + 8.
-5x2 + 3x.
5x2+ 3x− 8.

Answers

Answer: When simplified, (-3x2 + 2x − 4) − (-2x2 − x + 4) is:

-x2 + 3x − 8.

To simplify the expression you can start by combining like terms:

-3x^2 - (-2x^2) = -3x^2 + 2x^2 = -x^2

then,

-x^2 + 2x -4 - (-x -4) = -x^2 + 2x -4 + x +4 = -x^2 + 3x

And finally,

-x^2 + 3x − 8.

Step-by-step explanation:

Solve this problem quickly please: 2x - 5 = 7

Answers

Answer:

x = 6

Step-by-step explanation:

2x -5 = 7

     +5  +5

2x = 12

12 divided by 2

is 6

Evaluate j/4+5 when j = 12

Answers

Answer:

8

Step-by-step explanation:

Just put j = 12 i the polynomial.

j/4 + 5 = 12/4 + 5 = 3 + 5 = 8

Pls mark as brainliest if possible and cheers!

Jordan has an account with $5000. He wants to withdrawal $40 a month for 10 years. The account makes 0.1% APR compounded monthly. Does he have enough money to do this?

yes or no

Answers

No he does not have the money to do that

PLEASE HELP

Bianca is ordering food at a local taco truck. She wants a soda which costs $1.75. Tacos cost $0.75 each.

Write an equation, in slope-intercept form, that represents the total cost (y) for x number of tacos and a drink.

Answers

The equation, in slope-intercept form is y = 0.75x + 1.75

How to determine the equation, in slope-intercept form

The equation for total cost can be represented in slope-intercept form as:

y = mx + b

where y is the total cost, x is the number of tacos,

m is the slope (the cost per taco), and b is the y-intercept (the cost of the drink).

So in this case,

m = 0.75 (the cost per taco),

b = 1.75 (the cost of the drink), and

x is the number of tacos.

So, the equation is:

y = 0.75x + 1.75

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ail.lausd.net bookmarks
Question 6 (1 point)
(05.01 MC)
What is the solution to the equation
O a
Ob
Oc
Od
m=-
m=
m =
m=
54
15
11
4
54
96
4
√8
4(m-3)?

Answers

Answer:

  d.  m = 9/4

Step-by-step explanation:

You want the solution to ...

  1/√8 = 4^(m -3)

Powers of 2

It will be convenient to rewrite this equation in terms of powers of 2.

  [tex]\dfrac{1}{\sqrt{8}}=4^{(m-3)}\qquad\text{given}\\\\\dfrac{1}{2^{\frac{3}{2}}}=(2^2)^{(m-3)}\qquad\text{using powers of 2}\\\\-\dfrac{3}{2}=2(m-3)\qquad\text{equate the exponents of 2}\\\\-\dfrac{3}{4}=m-3\qquad\text{divide by 2}\\\\\boxed{m=\dfrac{9}{4}}\qquad\text{add 3}[/tex]

What is 14/20 as a mixed number

Please help this is all I can relay on I’m litteraly in high school and I still can’t do this

Answers

heya!
you can searchit btw!

it's 0 7/10

i think in schools they put it as 7/10 so yeah!

Out of the thirty questions on the science quiz, Charlotte got 23 of them correct. What percentage of questions did Charlotte answer correctly?

Answers

Answer:

0.7667

Step-by-step explanation:

Jayden and his children went into a movie theater that sells bags of popcorn for $7 each and pretzels for $5 each. Jayden has $85 to spend and must buy a minimum of 13 bags of popcorn and pretzels altogether. If x x represents the number of bags of popcorn purchased and y y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

One possible solution we have is 10 bags of popcorn and 7 bags of pretzels.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, 'x' represents the number of bags of popcorn and 'y' represent the number of pretzels.

Therefore, The two inequalities representing the context are,

x + y ≥ 13 and 7x + 5y ≤ 85.

Solving these two inequalities graphically, A possible solution

we have, (10, 3).

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*
Find the measure of <1 and <2. Justify the answer.
Complete the table below.
Measure
m<1=
m<2=
Justification
126°

Answers

Solving this equation, we find that m<1 = 126° and m<2 = 54°.

What is equation?

An equation is an expression that contains one or more mathematical operators, such as addition, subtraction, multiplication, and division, and two or more mathematical variables. Equations are used to solve a variety of problems and can be used to represent various situations in mathematics.

Measure
m<1=126°
m<2=54°
Justification
The sum of the measures of the interior angles of a triangle is 180°. Therefore, if m<1 and m<2 are two of the interior angles of a triangle, then m<1 + m<2 must equal 180°. Solving this equation, we find that m<1 = 126° and m<2 = 54°.

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Penelope is playing a number game with her sister June. Penelope is thinking of a number and wants June to guess it. Five more than three times her number is between 8 and 29. Write a compound inequality that shows the range of numbers that Penelope might be thinking of.

Answers

The required inequality is 1<x<8

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given:  Five more than three times her number is between 8 and 29.

Let the number she is thinking be x then

we have  8<3x+5<29

simplifying further we get  3 <3x<24

                                       ⇒1<x<8

Hence, the required inequality is 1<x<8

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Online social networking. The Parents & Teens 2006 Survey of 935 12- to 17-year-olds found that, among teens aged 15-17, girls were significantly more likely to have used social networking sites and online profiles. 70% of the girls surveyed had used an online social network, compared to 54% of the boys. What does it mean to say that the difference in proportions is "significant"?

Answers

When comparing the means of two groups and their relationships, a t-test is an inferential statistic used to assess whether there is a significant difference.

Is the difference between two proportions significant? T-tests are employed when data sets, such as the one resulting from tossing a coin 100 times, have normal distributions and unknown variances.Like comparing two means, comparing two proportions is a popular practise. Two estimated proportions that differ from one another could be the result of chance or a discrepancy in the populations. If there is a disparity between the estimated proportions and the population proportions, the hypothesis test can help to clarify this.Start by locating your variance on the left side of your degrees of freedom. Next, move up to view the p-values. Comparing the p-value and alpha can help you determine the significance level. Bear in mind that statistical significance is defined as a p-value 0.05.

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i need help with #2 please!!

Answers

For the functions f(x) = -x²- 8 and g(x) = 3x + 5 the value for f(g(-4)) = -57.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The given functions are -

f(x) = -x²- 8

g(x) = 3x + 5

The evaluation is for f(g(-4)).

Substitute value of x = -4 in function g(x) -

g(x) = 3x + 5

= 3(-4) + 5

= -12 + 5

= -7

Now, substitute the value of x = -7 in function f(x) -

f(x) = -x²- 8

= - (-7)² - 8

= - 49 - 8

= -57

Therefore, the value is obtained as -57.

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Looking for the perimeter of the trapezium DBCE.

please explain in detail!!

Answers

The perimeter of the trapezium DBCE is 32.2 cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

First find the unknown side lengths of  trapezium DBCE:

ABC and ADE are similar triangles.

So, we have

AB/AD = AC/AE = BC/DE

=>  10/4 = AC/5.8 = BC/5

=> 2.5= AC/5.8       and       2.5=BC/5

=> AC=2.5*5.8         and     BC=2.5*5

=> AC=14.5             and       BC=12.5

EC=AC-AE = 14.5-5.8 = 8.7  

Perimeter is sum of all sides

Perimeter = DB+BC+EC+DE

                 = 6+12.5+8.7+5

                 = 32.2 cm

So, the perimeter of the trapezium DBCE is 32.2 cm

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Pleaseeee I’m BEGGING HELP

Answers

Answer:

C. 25%

Step-by-step explanation:

25% is 1/4, so 20 divided by 4 is 5, and that's how much it decreased by

Consider the system of linear equations: 12x+6y=-20
-3x+y=5
Change the coefficient of y in the first equation so that the system has infinitely many solutions.

Answers

The equation 12x + 6y = -20 and -3x + y = 5 will have infinitely many solutions when the coefficient of y in 12x + 6y = -20 is -4

When will a linear equation have infinitely many solutions?

When the lines are coincident and they share the same y-intercept, and slope the system of equations has an infinite number of solutions.

If the slope and y-intercept of two lines match, they are in fact the exact same line.

In the problem, the equations are 12x + 6y = -20 and -3x + y = 5

when the ratio of each parameter are equal then the lines have infinite many solutions

x: 12 / -3 = -4

constant: -20 / 5 = -4

let the coefficient be k

y:  k / 1 = -4, k = -4

hence the coefficient should be -4

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Here are some measurements for triangle ABC and triangle xyz : Angle cab and angle zxy are both 30 degreesAc and xz both measure 3 units Cb and zy both measure 2 unitsAndre thinks these triangles must be congruent. Clare says she knows they're aren't congruent. Construct 2 triangles with the given measurements that aren't congruent. Explain why triangles with 3 congruent parts aren't necessarily congruent experiment 1: what can be said about the mass of the 1.0 m hcl and 1.0 m naoh solutions after they were combined? If the mass population is growing at 1.5% per year, how many years will it take for the population to double in size? the trade-off theory tells us that the capital structure decision involves a tradeoff between the costs of debt financing and the benefits of debt financing. group of answer choices true false what is the difference between a bar graph and a histogram? a. there is no difference between a bar graph and a histogram. b. a bar graph displays categorical data, while a histogram displays quantitative data. c. a bar graph has no spaces between the bars, while a histogram must have space between the bars. d. a bar graph displays quantitative data, while a histogram displays categorical data. If your community received a donation, what should it be used for? Consider problems you'd like to solve or ways you'd like to improve your community. Then explain how you would spend the money. In a pitch situation, your vehicle weight moves to either the left or right of the vehicle. TRUE FALSE Submit answer PLEASE HELP Expand the expression: 2(6j + 3) = Which expression is equivalent to 81 x 9^8?A. 1/9^10B.(9^2)^5C.1/9^16D.(9^1)^9 Please answer this by 8:30! Thank you!! What is the central idea of a text is supported by? which of the following is true about personality assessments used in organizations?personality assessments have been increasingly used in diverse organizational settings. personality assessments are used by approximately 10 percent of all large u.s. companies.personality assessments have been decreasingly used in diverse organizational settings.personality assessments are used by approximately 25 percent of all large u.s. companies. Before the second revolution, who owned the land in Mexico? how did the discoveriesof copernicous and ther astronomers affect the way people viewed the universe Interior walls of a residence consist of a 2 4 (31/2") with 1/2" sheetrock on both sides. Exterior walls are 2 6 (51/2") construction with 1/2" sheetrock on the interior and 7/16" sheeting with 35/8" brick on the exterior. Determine the outside dimension of a house if there are two interior rooms with an interior wall. One room dimension is 11' 3", Room 2 dimension is 15' 7".How do I solve this? Why was president Johnson's role as commander in chief of particular concern to Republicans Carlos has a box of coins that he uses when playing pokerwith friends. The box currently contains 44 coins,consisting of pennies, dimes, and quarters. The number ofpennies is equal to the number of dimes, and the totalvalue is $3.59. How many of each denomination of coindoes he have? The henry ford museum in Dearborn, Michigan hosts a theater with one of world's largest screens, which is 60ft x 84ft. If a classroom projection screen were changed to be in direct proportion with the screen at the henry ford museum, the dimensions would be 5 ft x __ft. scott appropriately carries these debt securities at fair value and has no expected credit losses. the amount of unrealized loss on these securities in scott's current year income statement should be someone please ANSWER This quickBy now youve figured out that particular sentences in a specific paragraph develop and refine a key concept by providing new information, elaborating on a point, clarifying an idea, or restating the key concept for emphasis.Read the excerpt from Curious About Curiosity, and select the two sentences that restate for emphasis the key concept that the Curiosity mission was a success.................................Moreover, in December of that same year, scientists discovered what they believe is an ancient lake buried thousands of years ago. This evidence of water was a major triumph for the hopeful scientists back on Earth. It gave credence to the hypothesis that Mars could long, long ago have sustained a wet environment, with fresh water safe enough to drink. This type of environment indeed would be inhabitable for simple forms of life, such as the microbe. NASA, the engineers, the scientists, and everyone involved in the mission had much to celebrate! NEVERMIND ITS THE 2nd AND 5th ONE (no one is getting brainliest)