Find the value of x .. assume that segments that appear to be tangent are tangent .

Find The Value Of X .. Assume That Segments That Appear To Be Tangent Are Tangent .

Answers

Answer 1

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides.

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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Related Questions

The three angles of a triangle measure x,y and 39. What is the equation to solve ?

Answers

The equation to solve when the three angles of a triangle measure x,y and 39 is x + y + 39 = 180°.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

It is important to note that the total angles in a triangle is 180°.

Therefore, in this case, the angles will be illustrated thus:

x + y + 39 = 180. This illustrates the equation.

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Select the correct answer. Four figures. Figure 1 shows a right triangle A C B with a line D E parallel to base B C. Figures 2, 3, and 4 shows a triangle A B C with a line D E parallel to base B C. In which figure is ? A. figure 1 B. figure 2 C. figure 3 D. figure 4

Answers

Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2

Step-by-step explanation:

Answer: Figure 4

Step-by-step explanation:

I got it right on Edmentum

The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is

Answers

For the linear function built from the scatter plot, it is found that:

The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.

What is a linear function?

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

Missing Information

The graph is given by the image at the end of the answer.

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A candidate for mayor is calling 882 registered voters to remind them about the upcoming election if the candidate has 49 volunteers and each person calls the same numbers of voters how many voters will volunteer call

Answers

The number of voters that each volunteer call is 18.

What is voting?

It is important to note that voting is done to choose a particular person during elections.

In this case, the candidate for mayor is calling 882 registered voters to remind them about the upcoming election and the candidate has 49 volunteers.

Since they gave same number of voters, this will be:

= Number of voters / Number of volunteers

= 882 / 49

= 18

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caliper assessment Choose the answer that best completes the visual analogy #64

Answers

The answer that best completes the visual analogy of caliper is the first option (picture attached)

How to get the next movement of the caliper

Information given in the question

A polygon of 5 sides

Visual analogy refers to using the power of sight to detect of feel things

A polygon of 5 sides is called pentagon is used to describe the caliper

The movement is forecasted by:

Firstly, the question mark symbol "?" the line mark will go the spot the symbol ? appearedSecondly, the dot at the center will not be dark but remain a hollow spot

considering these the first option become the best option

The line mark will align where the ? was positioned and the center will not be a dark spot

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Which graph represents an odd function?
There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).
There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).
There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)
There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).

Answers

Answer: first graph

Step-by-step explanation:

Select the correct answer.
Which set of absolute values is compared correctly?
A. -71 <181<|9|<1-10|

B.1-41 <1-3/<13<|4|

C. 1211-51> |-7|>1-81

D. 1-41>19> |-31 >|-10|

Answers

Answer: A

Step-by-step explanation:

The absolute value of a number is its relative distance from zero, so it doesn't matter if it is negative. For example, -3 and 3 are both 3 units away from zero on the number line.

3. Lois Denominator, a mathematics examiner, receives £514.80 after tax has been deducted at 22% for marking papers. Calculate Lois’ pay before the tax had been deducted.

Answers

Lois’ pay before the tax had been deducted is £660.

Given:

Lois Denominator, a mathematics examiner, receives £514.80 after tax has been deducted at 22% for marking papers.

22% = 514.80

divide by 22 on both sides

22%/22 = 514.80/22

1%= 23.4

= 514.8/0.78

= 5148/10/78/100

= 5148*100/10*78

= 66*100/10

= 66*10

= £660.

Therefore Lois’ pay before the tax had been deducted is £660.

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A tank contains 60 kg of salt and 2000 L of water. Water containing 0.8kgL of salt enters the tank at the rate 8 L/min. The solution is mixed and drains from the tank at the rate 2 L/min. A(t) is the amount of salt in the tank at time t measured in kilograms.

A(t)= ?kg

Answers

Transcribed image text: (1 point) A tank contains 60 kg of salt and 2000 L of water. Water containing 0.8 min of salt enters the tank at the rate 6 min. The solution is mixed and drains from the tank at the rate 3 IA(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = (kg) = 0.

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Answer: yes

Step-by-step explanation:

select shapes which have one line of symmetry

Answers

Answer:

A semicircle has 1 line of symmetry.

Step-by-step explanation:

Type the area of the rectangle into the box.

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

A = 15 x 2 = 30

solve ABC given BC= 61cm, AB=57cm and B= 190 degree.

Answers

Answer:

Your question is missing some parts

and the degree seems off is it 90⁰

What is the equation of the line that passes through the point (4, 6) and has a slope
of o?

Answers

I think the answer is 6 = 0*4+b not sure though

help please i am stuck on this problem ??

Answers

Answer:

Evaluating the function [tex]f(x)=2x^2[/tex] for the first five positive integers of [tex]x[/tex]:

[tex]f(1)=2(1)^2=2(1)=2[/tex]

[tex]f(2)=2(2)^2=2(4)=8[/tex]

[tex]f(3)=2(3)^2=2(9)=18[/tex]

[tex]f(4)=2(4)^2=2(16)=32[/tex]

[tex]f(5)=2(5)^2=2(25)=50[/tex]

damian bought a new game station for $774 using the stores zero intrest finace plan. He will pay$43 a month for 18 months. Which equation csn he use ti fund out how much money he still owes

Answers

The equation Damian can use to found out how much money he still owes is -

y = - 43x + 774  

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

Damian bought a new game station for $774 using the stores zero interest finance plan. He will pay $43 a month for 18 months.

We can represent the equation he can use to found out how much money he still owes using a straight line as follows -

y = 774 - 43x

y = - 43x + 774              [x] is the number of month

Therefore, the equation Damian can use to found out how much money he still owes is -

y = - 43x + 774  

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Rewrite −12(4x + 5y) using distribution.

−48x + 60y
−48x + 5y
−48x − 60y
−4x − 17y

Answers

To distribute this, multiply each term in the parentheses by -12

-12(4x) + -12(5y)

-48x - 60y

Hope this helps :)

Comment if you need any more explanation

Answer:

-48x - 60y

Step-by-step explanation:

Distributive Property of multiplication over addition:

[tex]\boxed{a(b + c) = ab + ac}[/tex]

Apply the distributive property to the given expression:

[tex]\begin{aligned}-12(4x + 5y) & = -12 \cdot 4x + (-12) \cdot 5y\\& = -48x +(- 60y)\\&=-48x-60y\end{aligned}[/tex]

Therefore, the given expression rewritten using distribution is:

-48x - 60y

Eve needed to collect the eye color of 50 random people for a high school statistics project. Being shy, she felt more comfortable collecting the data from 20 arbitrary classmates, 12 arbitrary neighbors, and 18 arbitrary members of her bible study group. Upon hearing of her data collection process, her project partner, Adam, stated that all the data was useless. His rationale was that the data was not truly random since Eve knew the people in her sample. Adam believed random data must come from strangers. Do you believe Adam is correct or is Eve's data actually random? Explain your position.

Answers

Eve's data is a random sampling since she picked the participants randomly.

What is a random sampling?

A simple random sample is a subset of a population chosen at random. This sampling strategy gives each person of the population an exact equal chance of being chosen, reducing the likelihood of selection bias.

To be considered a truly random sample, every subject in your target demographic must have an equal chance of being chosen. Conducting a study to estimate the length of time college students workout at your campus each week is an example of breaking this assumption.

In this case, Eve needed to collect the eye color of 50 random people for a high school statistics project and she felt more comfortable collecting the data from 20 arbitrary classmates, 12 arbitrary neighbors, and 18 arbitrary members of her bible study group. In this case, she picked them randomly. In Adam's case, it doesn't necessarily have to be strangers.

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6x^2+12x+63=0 solve by factor

Answers

Answer:

x=2 and =-4

Step-by-step explanation:

What is the answers please

Answers

The answer of the given multiplication is 19.2, 1.7, 15.93 and 0.0512 respectively.

To find the answer, we will simply multiply the given numbers.

i) 3.2 × 6 = 19.2

ii) 8.5 × 0.2 = 1.7

iii) 2.7 × 5.9 = 15.93

iv) 0.32 × 0.16 = 0.0512

Hence, the answers is 19.2, 1.7, 15.93 and 0.0512 respectively.

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PART B
How can the stage manager use the constant of proportionality to find the
dimensions of any new props the director requires?

Answers

 a) the constant of proportionality multiplies every actual linear    dimension

 b)  height of a can of fruit juice is 3.85 inches high

What is Proportionality?

The term proportionality describes any relationship that is always in the same ratio.

Explanation for answer:

Since the desire is to have students look twice as tall, we expect the constant of proportionality to be [tex]\frac{1}{2}[/tex].

Instead, we're told that the stage manager is using a height of 44 inches to represent an 80-inch door.

This means their constant of proportionality is [tex]\frac{40}{80} = 0.55[/tex]

a) Any new props can be scaled by this factor (0.55) to find their height on set.

b) A 7-inch can would be scaled to [tex]7\times 0.55 = 3.85\ inches[/tex]

Question: The school's theater club is building sets that will make ordinary students look like giants. The actors need a door, a table, and a stool that will make them look almost twice as tall!

DOOR: actual height is 80 inches and Height on Set is 44 inches

TABLE: actual height is 28 inches

STOOL: actual height is 18 inches

How can the stage manager use the constant of proportionality to find the dimensions of any new props the director requires?

What should the height of a can of fruit juice used as a prop be if its actual height is 7 inches? Show your work.

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If the sales tax rate is 5% in Texas, then how much sales tax would you pay in Houston for a $52 bag of dog food?
Please answer quickly!
Thank you ^^

Answers

The cost of the sales tax in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sales tax percentage in Texas = 5 %

                                                          = 5 / 100

                                                          = 0.05

The cost of 1 bag of dog food in Houston = $ 52

Now ,

The sales tax cost is calculated by the equation ,

The sales tax cost =
Sales tax percentage in Texas x cost of 1 bag of dog food in Houston

The sales tax cost = $ 52 x 0.05

                              = $ 2.60

And , the total cost of 1 bag of dog food = cost of 1 bag of dog food in Houston + sales tax cost

Total cost of 1 bag of dog food = $ 52 + $ 2.60

                                                   = $ 54.60

Therefore , the sales tax cost is $ 2.60

Hence , the sales tax cost to pay in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60

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Find a formula for the nth term in this
arithmetic sequence:
a1 = 9, a2 = 13, a3 = 17, a4 = 21, ...
an =?n+

Answers

Answer: an=4n+5

Step-by-step explanation:

a1 = 9, a2 = 13, a3 = 17, a4 = 21, ...

A formula for the nth term of the arithmetic sequence:

                            [tex]a_n=a_1+d(n-1)[/tex]

where: a₁ - is the first term of the arithmetic sequence

            d - is the difference between the terms of the arithmetic sequence

d=a₂-a₁=a₃-a₂=a₄-a₃= ...

d=13-9=17-13=31-17= ...

d=4

             n - is the number of the arithmetic sequence term

[tex]a_n=9+4(n-1)\\\\a_n=9+4n-4\\\\a_n=4n+5[/tex]

Which graph represents a system of equations that has no solution?

Answers

Answer:

It is A

Step-by-step explanation:

I have brainly tutor and had that exact question

A solution contains 7% salt. How much water should be added to 30 ounces of this solution to make a 5% solution?

Answers

Answer:

12 ounces of water.

Step-by-step explanation:

1. Set the initial values.

Total mass of the solution: 30 ounces.

Total mass of salt (solute): (30*0.07)= 2.1 ounces.

Total mass of water (solvent): (30*0.93) 27.9 ounces.

2. Find an equation that relates amount of water and percentage of salt.

Since we know that the amount of salt is 2.1 ounces, and it has to remain constant, we have to create a function such that the variable is the amount of water and it gives us the percentage of solution we are looking for. The function should look like this:

[tex]\frac{2.1}{x} =0.05[/tex]; where x is the mass of the water in the solution.

Side note: The number "0.05" is 5% converted into a decimal.

3. Solve the equation for x.

[tex]\frac{2.1}{x} =0.05\\ \\\frac{x}{2.1} =\frac{1}{0.05} \\ \\x=\frac{2.1}{0.05} \\ \\x=42[/tex]

42 would be the total amount of ounces the solution should have in order to be a 5% solution. Therefore, 12 ounces (42-30) have to be added.

4. Conclude.

12 ounces of water have to be added to this solution in order to make it a 5% solution, where 2.1 ounces is salt and 39.9 is water.

x-6=-[tex]\frac{1}{6}[/tex]y²
2x+y=6

Solve algebraically


PLEASE ANSWER AS SOON AS POSSIBLE WITH EXPLANATION!!!!! THANK YOU!!!

Answers

Refer to photo taken

Consider the function graphed at right.
The function has a maximum
of 3
The function is increasing on the interval(s):
The function is decreasing on the interval(s):
at x =
-4
4
-32
-5--
3 4 5
1 2 3 4 5

Answers

Answer:

heyyyyyyyyyyyyyyyyyyyyyyyy

I need help with this problem

Answers

Answer:

whats the problem

Step-by-step explanation:

d) Three bus services A, B and C arrive at a station. Service A arrives at the station every 15 minutes, service B arrives every 20 minutes and service C arrives every 30 minutes. All three buses arrive at the station together at 9 a.m. At what time will the three buses next arrive at the station. (Decide which will you use to find the answer: GCF or LCM)​

Answers

The time that the three buses will next arrive at the station, given the time between their individual arrivals is 10 am.

How to find the time of arrival?

Service A arrives every 15 minutes. Service B arrives every 20 minutes. Service C arrives every 30 minutes.

The goal is to find the time when all services arrive at the same time. This can be found by finding the LCM of all three times. This will show the shortest time till all services arrive.

The LCM of 15 minutes, 20 minutes, and 30 minutes is 60 minutes.

The three bus services will arrive at the same time in 60 minutes which is:

= 9 am + 60 minutes

= 10 am

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The monthly cost of operation at a company, C, given in dollars as a function of the number of units produced per month, u, is given below.

C = $3,173 + $31u

If the company wants to keep the cost of operation under $14,000 per month, what is the maximum number of units they can produce?
A. 3,490
B. 350
C. 3,491
D. 349

Answers

If the company wants to keep the cost of operation under $14,000 per month, The maximum number of units they can produce is: D. 349.

How to find the number of units?

Given function:

C = $3,173 + $31u

Hence,

Let u represent number of  units

Let c represent the operation cost

Where c = $14,000 per month

$14,000 = $3,173 + $31u

Combine like terms

$14,000 - $3,173 = $31u

$10,827 = $31u

Divide both side by $31u

u = $10,827 / 31

u = 349 units

Therefore the correct option is D.

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I need help with this geometry question

Answers

The value of x will be 9.8 m.

The value of y will be 11.2 m.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The two triangles are similar.

Now,

Since, The two triangles are similar.

So, We get the sides are proportional to each other.

Hence, We can formulate;

⇒ 4/5.6 = 7/x

Solve for x as;

⇒ x = 7 × 5.6 / 4

⇒ x = 9.8 m

And, 4/5.6 = 8/y

Solve for y;

⇒ y = 8 × 5.6 / 4

⇒ y = 11.2 m

Thus, The value of x will be 9.8 m.

The value of y will be 11.2 m.

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Other Questions
PLEASE help (80 points!)---directions---Read the following short story from Myths and Legends of the Great Plains. Then answer the question that follows.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Long ago, in the beginning, Deer had no horns. His head was smooth like a doe's. Now Deer was a very fast runner, but Rabbit was a famous jumper. So, the animals used to talk about it and wonder which could go the farther in the same time. They talked about it a great deal. They decided to have a race between the two, and they made a pair of large antlers to be given to whoever could run the faster. Deer and Rabbit were to start together from one side of a thicket, go through it, and then turn and come back. The one who came out of the thicket first was to receive the horns. On a certain day all the animals were there. They put the antlers down on the ground to mark the starting point. Everyone admired the horns. But Rabbit said, "I don't know this part of the country; I want to look through the bushes where I am to run." So, the Rabbit went into the thicket, and stayed a long time. He was gone so long the animals suspected he was playing a trick. They sent a messenger after him. Right in the middle of the thicket he found Rabbit, gnawing down the bushes and pulling them away to make a clear road for himself. The messenger came back quietly and told the animals. When Rabbit came back, they accused him of cheating. Rabbit said, "No," but at last they all went into the thicket and found the road he had made. Therefore, the animals gave the antlers to Deer, saying that he was the better runner. That is why deer have antlers. And because Rabbit cut the bushes down, he is obliged to keep cutting them down, as he does to this day.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~---Question---Which part of the story is the rising action?------------Answer options------------ A.) 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Can yall help me with this What is an example of a precedent? according to jeffrey gray, people with a highly reactive behavioral activation system (bas) are more likely to be: adrian is a structural functionalist, and drew is a conflict theorist. how is adrian's view of society likely to differ from drew's view of society? a.) adrian focuses on one-on-one communications or interactions between a small group of people, whereas drew focuses on how societies progress and attain stability. b.) adrian focuses on how each part of society works to maintain stability, whereas drew focuses on the inequalities that cause social differences. c.) adrian focuses on a complex network of interactions at the microlevel, whereas drew focuses on interactions at the macrolevel. d.) adrian focuses on elements in a society that cause conflicts, whereas drew focuses on elements in a society that aid stability. 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