please help me solve this ​

Triangles ABC and triangle PQR are congruent triangles based on angle-side-angle congruency theorem.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent to each other. Also, their corresponding angles are congruent to each other.

Triangles ABC and triangle PQR are congruent triangles based on angle-side-angle congruency theorem.

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A correlation is simply used to determine whether a relationship exists between the variables.

The information is incomplete and an overview will be given. The correlation shows the relationship between the variable.

This can be explained in a numerical form that's known as the correlation coefficient. This shows that strength of the relationship.

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The corresponding range of the domain is (11, -4, -29)

The function is given as:

5x + y = 1

Make y the subject

y = 1 - 5x

The domain is given as:

(-2,1,6)

Substitute these values in y = 1 - 5x

y = 1 - 5(-2) = 11

y = 1 - 5(1) = -4

y = 1 - 5(6) = -29

Hence, the corresponding range of the domain is (11, -4, -29)

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Answer:

8(3j - 2).

Step-by-step explanation:

24j-16

GCF = 8

so the answer is

8(3j - 2).

The remaining amount after 4 years is 1.25 kg

The half life of a function is represented as:

[tex]A = A_o * (1/2)^{t/h}[/tex]

Where

Ao represents the initial amount

So, we have:

[tex]A = 5 * (1/2)^{t/2}[/tex]

In 4 years, t = 4.

So, we have:

[tex]A = 5 * (1/2)^{4/2}[/tex]

This gives

[tex]A = 5 * (1/2)^2[/tex]

Evaluate the expression

A = 1.25

Hence, the remaining amount after 4 years is 1.25 kg

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The equation of constant of proportionality will be y = 2.5x.

Given A 2-column table with 3 rows. Column 1 has entries 2, 4, 5. Column 2 has entries 5, 10, 12.5.

Equation of two variables look like ax+by=c. It can be a linear equation,quadratic equation,cubic equation.

Equation from two points can be found out by putting the values of points in the formula given below:

[tex](y-y_{1})=(y_{2} -y_{1} /x_{2} -x_{1} )*(x-x_{1} )[/tex] in which [tex](x_{1} ,y_{1} ),(x_{2} ,y_{2} )[/tex] are the end points of the line.

Equation of constant proportionality looks like:

k=y/x

in which k is slope which is to be find out according to the same formula as we find in the equation of line.

Slope from (2,5),(4,10) is (10-5/4-2)

=5/2

=2.5

Put the value of k=2.5 in formula of slope.

2.5=y/x

2.5x=y

y=2.5x.

Hence the equation of constant of proportionality is y=2.5x.

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Answer:

343

Step-by-step explanation:

7 cubed = 7 x 7 x 7 = 343

so, 343 is a perfect cube.

Answer:

C

Step-by-step explanation:

How many 2/7 are in 150 ?

= Their are 525.

I HOPE IT HELP YOU

There are 525 number of fraction 2/7 in number 150.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator.

Given,

fraction = 2/7

Given number = 150

Number of 2/7 in 150

= 150 ÷ 2/7

= 150 × 7/2

= 1050/2

= 525

Hence, 525 is the number of fraction 2/7 in number 150.

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Answer:

A. 4(4a + 18)

B. 8(2a + 9)

Step-by-step explanation:

We know that :

16a = 4×4×a

72 = 4×18

Then

16a + 72 = 4×(4a) + 4×(18)

              = 4 × (4a + 18)

On the other hand,

16a = 8×2×a

72 = 8×9

Then

16a + 72 = 8×(2a) + 8×(9)

              = 8 × (2a + 9)

Answer:

Given,

Distance traveled = 20 km

Speed = 60 km/h

So, timetaken=DistanceSpeed=2060=13h

For the next journey

Distance traveled = 20 km

Speed = 80 km/h

So, timetaken=DistanceSpeed=2080=14h

Now,

Total distance traveled = 20 + 20 = 40 km

Total time taken = 13+14=712

We know,

Averagespeed=TotaldistancetraveledTotaltimetaken=40712=68.5 km/h

Hence the average speed of the train is 68.5 km/h

Answer:

A(1,2)

Step-by-step explanation:

tracing the point of intersection of the two lines on the y and the x axis,on the y we have 2 and on the x we 1.

Answer:

AB = 17, x = 6

Step-by-step explanation:

3x - 1 = 34 / 2

3x - 1 = 17

3x = 18

x = 6

AB = 17

x = 6

Answer:

Step-by-step explanation:

sinA(1+sin^2A) = cos^2A

sinA(2 -cos^2A) = cos^2A

Squaring both sides,

sin^2A(4-4cos^2A +cos^4A) = cos^4A

(1-cos^2A)(4-4cos^2A +cos^4A) = cos^4A

4-4cos^2A +cos^4A-4cos^2A+4cos^4A-cos^6A = cos^4A

4 -cos^6A +4cos^4A -8cos^2A = 0

cos^6A - 4 cos^4A + 8cos^2A = 4

hence proveproven

Answer:

Step-by-step explanation:

sinA+sin

3

A=cos

2

A

⇒sinA[1+sin

2

A]=cos

2

A

⇒sinA[1+1−cos

2

A]=cos

2

A

squaring on both sides.

⇒sin

2

A[4+cos

4

A−4cos

2

A]=cos

4

A

⇒(1−cos

2

A)[4+cos

4

A−9cos

2

A]=cos

4

A

⇒4+cos

4

A−4cos

2

A−64cot

2

A−cos

6

A+9cos

4

A=cos

4

A

⇒

cos

6

A−4cos

4

A+8cos

2

A=4

​

Hence Prove

Answer:

10.

Step-by-step explanation:

6/9 = x/15

9x = 6*15

9x = 90

x = 10.

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{15} =\frac{x}{x+15}[/tex]

[tex]6(x+15)=15x[/tex]

[tex]6x+90=15x[/tex]

[tex]90=15-6x[/tex]

[tex]90=9x[/tex]

[tex]x=90/9= 10[/tex]

Hope this helps

The amount of medication that stays in the bloodstream is the same at 3.04 hours for the two medications

The functions are given as:

[tex]f(x)=-1.25\cdot \ln{\left(\dfrac{1}{x}\right)}[/tex]

[tex]g(x)=-1.8\cdot\ln\left(\dfrac{2.1}{x}\right)[/tex]

Next, we represent both functions on a graph.

From the attached graph, we can see that both functions intersect at (11.34, 3.04)

This means that the amount of medication that stays in the bloodstream is the same at 3.04 hours for the two medications

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Complete question

A pharmaceutical scientist studying two medications wonders how long different amounts of each medicine stay in someone's bloodstream. The amount of time (in hours) one medication stays in the bloodstream can be modeled by [tex]f(x)=-1.25\cdot \ln{\left(\dfrac{1}{x}\right)}[/tex] where x is the initial amount of the medicine (in milligrams). The corresponding function for the other medication is [tex]g(x)=-1.8\cdot\ln\left(\dfrac{2.1}{x}\right)[/tex]. Here are the graphs of

Answer:

It gives the initial amount + It gives the solution

Step-by-step explanation:

It gives the initial amount + It gives the solution

We know from the graph given and the data provided that the function can automatically be proven true.

It cannot describe the amount of time as the data says X is how much of the medicine is given, not the time.

It can't be the equal ratio because, for example, 1 milligram of medicine doesn't equal 1h of time in the body.

All you need to do for this is educational guessing, reasoning, and the process of elimination. Hope this helped! have a great day :7)

A statistical question you can ask at least 20 different people can be: "How many pets do you have?"

An hypothetical data for the number of pets 20 sixth graders have has been given and the box plot that displays the data set is in the image below.

A statistical question can be defined as a question that can be answered by collecting a variety of numerical answers that vary. Examples of statistical questions include:

A statistical question you can ask at least 20 different people can be: "How many pets do you have?"

Below is the hypothetical questions that can be assumed you'd get from two people:

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5

Description of the people you asked can be: 20 sixth graders in your school.

How you gathered your data can be: Asking them to fill a questionnaire or by interview.

The numerical data from least to the greatest, hypothetically would be:

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5

The five-number summary for the hypothetical data would be:

Minimum: 0 (least data point)

Quartile Q1: 1 (middle of the first half of the data distribution)

Median: 1.5 (center of the data)

Quartile Q3: 2.75 (middle of the second half of the data distribution)

Maximum: 5 (greatest data value).

Using the five-number summary generated, the box plot that displays the data set is shown in the image attached below.

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The equation exists 62 - (9 ÷ x)  then, the simplifying the equation, we get 59.

An equation exists as a mathematical statement that is created up of two expressions connected by an equal sign. For example, 3x – 5 = 16 exists an equation.

The equation is described as the state of being equal and exists often illustrated as a math expression with equal values on either side or directs to a problem where many things need to be taken into account.

Given: [tex]$62\:-\:\left(\frac{9}{3}\right)[/tex]

then substitute the value of x = 3

Removing parenthesis -(a) = -a, we get

-(9/3) = -9/3

Divide the numbers, 9/3 = 3

= 62 - 3 = 59

Therefore, the correct answer is option A. 59.

The complete question:

Evaluate 62 - (9 ÷ x) when x = 3

A. 59

B. 12

C. 27

D. 33

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the correct option is : (i)

She gives each student a pretest. Then she teaches a lesson using a computer program

What is Hypothesis testing?

Hypothesis testing is the process of evaluating two frequently contradictory claims based on population data and test data.

The appropriate response is provided by choice (i).

Simply said, a hypothesis is a supposition that we form based on our perceptions.

Therefore, statistics is all about information, a vast amount of information that is as valuable to us as information if we can analyze it and eventually come to some conclusions about it. To find out interpretation and conclusions about the information we mostly use.

Therefore,

the correct option is (i)

She gives each student a pretest. Then she teaches a lesson using a computer program. Afterward, she gives each student a pretest. The teacher is interested in seeing if the disparity in results indicates an improvement.

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I understand that the question you are looking for is:

"A teacher is experimenting with computer-based instruction. In which situation could the teacher use a hypothesis test for a difference in two population means?

(i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.

(ii) She randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student has to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem.
(iii) She gives each student a pretest. She then randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a post-test. The teacher compares the improvement in scores (post-test minus pretest) in the two groups.

(iv) The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction."

Joanna can assemble her bracelet in 30 ways.

It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.

The rest 4 are of different colors.

Six beads can be arranged in a circle in 6!/6 ways.

This means that the six beads can be arranged in 5! ways.

Since this is a bracelet, it can be flipped around. Therefore, it can be arranged in 5!/2 ways.

5!/2 = 5*4*3*2*1/2

= 60

Now, we know that two beads are of the same color. Therefore, we must divide this by two again.

Therefore, we get:

60/2 = 30

The six beads can be arranged in 30 ways to make the bracelet.

Therefore, we have found that Joanna can assemble her bracelet in 30 ways.

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The time taken by the ball to get to the ground exists for 7 seconds.

Let, the function [tex]f(x) = -16(x^{2} - 6x- 7)[/tex] represent the height of the ball.

Where x exists the number of seconds.

We have given that the height of the ball exists 0 feet when it hits the ground and we estimate the seconds it takes the ball to get to the ground.

Consider f(x) = 0 and find the value of x.

[tex]0 = -16(x^{2} - 6x - 7)[/tex]

[tex]x^{2} - 6x - 7 = 0[/tex]

Using middle-term separation,

[tex]x^{2} - 7x + x-7 = 0[/tex]

x(x-7) + 1(x-7)=0

(x - 7)(x + 1) =0

x = 7, -1

x = -1 exists rejected as time exists not negative.

x = 7 exists accepted.

The time taken by the ball to get to the ground exists for 7 seconds.

Therefore, the correct answer is option B.7.

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The worth of the car in 10 years is $1,831.67 using an exponential equation approach.

What is an exponential equation?

An exponential equation is the one with exponents such X^3(the 3 is the exponent)

The exponential equation required here is the one where the future value would be lower than current value because the car reduces in value year-in-year-out.

FV=PV*(1-r)^N

FV=future worth of the car

PV=today's value=$25,000

r=depreciation rate=-23%

N=number of years=10

The fact that r is negative means the car is depreciating not appreciating.

FV=$25,000*(1-23%)^10

FV=$1,831.67

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Answer:

Given PR is perpendicular to QS, and PQ and PS are congruent. Angle PRQ and angle PRS are right angles by the definition of perpendicular segments. Therefore triangle PRQ and triangle PRS are right triangles. Segment PR is congruent to segment PR by the reflexive property of congruence. By the HL Theorem, triangles PRQ and PRS are congruent.

Answer:

x = 5

Step-by-step explanation:

                       x - 2(x +1) + 3(x -2) + 2(x - 6) = 0

x + (-2)*x  + (-2)*1 + 3*x +3*(-2) + 2*x + 2*(-6) = 0

                            x - 2x -2 + 3x - 6 + 2x - 12 = 0

                          x - 2x + 3x + 2x - 2 - 6 - 12 = 0

Combine like terms. Like terms have same variable with same power.

                                                          4x - 20 = 0

Add 20 to both sides.

                                                                 4x  = 20

Divide both sides by 4

                                                                   x = 20/4

                                                                   x = 5

Answer:

x = 5

Step-by-step explanation:

x  -2(x+1) + 3(x-2) + 2(x-6) =  0

here, we need to distribute the numbers on the outside of the parentheses to the inside numbers.

As you may know, when two numbers are in parentheses, they are to be multiplied--and it is the same idea here.

When we have a number, say 3, multiplied by parentheses, say (x - 2), we multiply all inside numbers by the outside number, which is called distributing.

We know that 3(x) = 3x, and that 3(-2) = -6, so we distribute

3(x  - 2)       to be        3x - 6

let's do that for all of our parentheses:
x  -2(x+1) + 3(x-2) + 2(x-6) =  0

-2( x  + 1 )

-2x   -  2

3(x  - 2)

3x   -  6

2( x  - 6)

2x  - 12

Now, let's rewrite our problem:

x  -2(x+1) + 3(x-2) + 2(x-6) =  0

x     - 2x  - 2    + 3x -6     + 2x - 12    = 0

First, we should combine like terms:

x - 2x  + 3x + 2x          - 2 - 6 - 12    = 0

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

( - 2 - 6 = -8; -8 - 12 = -20

So, we are left with:

4x  -  20 = 0

At this point, we want to get x alone (so that we can find what "x" is)

4x - 20 = 0  

    + 20    + 20       ( add 20 to both sides of the equation to isolate x )  

   4x     =    20

  ÷ 4          ÷ 4           (divide both sides by 4 to find "1"x)

     x  =  5

So, we know that the value of x is 5, or x = 5

hope this helps! let me know if you need clarification on anything :)

Answer:

14.35 ft

Step-by-step explanation:

We can use the pythagorean theorem to find the distance between the poles since both triangles are right triangles.

a^2 + b^2 = c^2

a^2 + 12^2 = 14^2

a^2 + 144 = 196

a^2 = 52

a = 7.21 ft

a^2 + b^2 = c^2

a^2 + 7^2 = 10^2

a^2 + 49 = 100

a^2 = 51

a = 7.14 ft

7.21 + 7.14 = 14.35 ft

Brainliest, please :)

Answer: c; 14.35

Step-by-step explanation: I need help on this and i saw this guy asked for brainlist and i think two people need to anser so please give him brainlist.

3,471,738 this is the answer

Find y intercept

Point(0,-7)

Find vertex

x coordinate

y coordinate

Vertex at (-2,-27)

Slope

Answer:

10

Step-by-step explanation:

The x-coordinate of the vertex of a quadratic equation in the form

[tex]f(x)=ax^2+bx+c\quad \textsf{is} \quad -\dfrac{b}{2a}[/tex]

Given function:

[tex]f(x)=5x^2+20x-7[/tex]

[tex]\implies a=5, \quad b=20, \quad c=-7[/tex]

x-coordinate of the vertex

[tex]\implies -\dfrac{b}{2a}=-\dfrac{20}{2(5)}=-2[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the function:

[tex]\begin{aligned}\implies f(-2) & =5(-2)^2+20(-2)-7\\& = 5(4)-40-7\\& = 20-47\\& = -27\end{aligned}[/tex]

Therefore, the coordinates of the vertex are (-2, -27).

The y-intercept is when the curve crosses the y-axis, so when x = 0.

To find the y-coordinate of the y-intercept, substitute x = 0 into the function:

[tex]\begin{aligned}\implies f(0) & =5(0)^2+20(0)-7\\& = 0 + 0-7\\& = -7\end{aligned}[/tex]

Therefore, the coordinates of the y-intercept are (0, -7).

To find the slope of the line passing through the vertex and the y-intercept, simply substitute the found points into the slope formula:

[tex]\implies \sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-27-(-7)}{-2-0}=\dfrac{-20}{-2}=10[/tex]

Therefore, the slope of the line passing through the vertex and the y-intercept of the given quadratic function is 10.

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Answer:

Yes ,because (x+1) is the factor of all degree 4 polynomial

Answer:

other side is 12

Step-by-step explanation:

Givens

Perimeter = 64 feet

L = 20

Formula

P = 2L + 2w               Substitute Givens

64 = 2*20 + 2w         Combine

64 = 40 + 2w             Subtract 40 from both sides

64-40 = 40-40+2w    Combine

24 = 2w                      Divide both sides by 2

24/2=2w/2              

12 = w