Trapezoid STUV is similar to trapezoid NOPQ. What is the length of OP?

Trapezoid STUV Is Similar To Trapezoid NOPQ. What Is The Length Of OP?

Answers

Answer 1

Answer:

F. 4 2/3 centimeters

Step-by-step explanation:

since the trapezoids are similar to each other, that means there is a common ratio between them. so taking into consideration the first trapezoid STUV when we compare that to NOPQ, OP comes out to be 4 and 2/3 centimeters. start by comparing the ratio of ST to NO and then move on to TU and then OP.

Answer 2

. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.

To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.

(which is the same as the number of sides).

540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.

2. 540°

Sum of Interior Angles of a Polygon

A pentagon has five sides, thus the interior angles add up to 540°, and so on.


Related Questions


At the beginning of the year, the number of books owned by a library was 10,000. Since then, it has grown by 1% each month.
Which expressions represent the number of books, in thousands, owned by the library 5 years later if it continues to grow at that rate?

Answers

Answer:

y = 10(1.01)^60

Step-by-step explanation:

The general equation of exponential growth is

y = ab^x

b has to do with the rate of growth.

b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.

Now we have

y = a(1.01)^x

a is the initial value, so now we have

y = 10000(1.01)^x

where y is the number of books after x months

Since you need the number of books after 5 years, we must convert 5 years into months.

5 years * (12 months)/year = 60 months

The problem wants the expression in thousands of books, so we divide the initial value by 1000.

Answer: y = 10(1.01)^60

   Expression representing the number of books after 5 years,              

                           [tex]A(60)=10000(1.01)^{60}[/tex]

Exponential growth:  Exponential growth function is given by,

          [tex]A(t)=A_0(1+r)^t[/tex]

          Here, [tex]A(t)=[/tex] Final amount

          [tex]A_0=[/tex] Initial amount

           [tex]r=[/tex] Growth rate

           [tex]t=[/tex] Duration or time

Given in the question,

Initial number of books = 10000 Growth rate = 1% Duration = 5 years ≈ 60 months

Substitute these values in the expression,

[tex]A(t)=A_0(1+r)^t[/tex]

[tex]A(60)=10000(1+0.01)^{60}[/tex]

      Therefore, expression representing the number of books after 5 years will be → [tex]A(60)=10000(1.01)^{60}[/tex]

Learn more about the exponential growth here,

https://brainly.com/question/10709151?referrer=searchResults

Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?

Answers

Answer:

$19,260

Step-by-step explanation:

6,000 * 7% = 420

6,000 + 420 = 6,420

6,420 * 3 = 19,260

easy

Answer:

$1,260

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

Write a function rule for the statement.

The output is the cube of the input .


Y= _

Answers

Answer:

f(x) = x3

Step-by-step explanation: im not smart i just looked up your question and thats what i got

A rectangular box has a width of x meters, length of x + 3 meters, and
a height of x 2 meters. Write an expression for its volume.

Answers

Answer:

x*(x+3)*(x^2)

Step-by-step explanation:

Width: x meters, length: x + 3 meters, height x^2 meters

It's an expression, so there's no simplifying needed.

x(x+3)(x^2)

But if I'm wrong and it's supposed to be simplified, Read the rest.

First, multiply x by x + 3

x(x + 3)

x^2 + 3x

Now, multiply x^2 + 3x by x^2

(x^2)(x^2 + 3x)

x^4 + 3x^3

Mr. Seoul left $48,000 to his family when he passed. If he left 66 2/3% to his wife, how much did she receive?

Answers

Answer:

The answer is $32000.

Step-by-step explanation:

Help I need to turn this in today:)

Answers

Total surface area

=2 ×(area of triangle) +( area of rectangle 1) + (area of rectangle 2) + (area of rectangle 3)

2×(1/2 × 16 ×12) + (10×12)+(16×10)+(20×10)

=672 cm²

In the given function y = 2x2-8x, when you factor out a, what is left inside the
parentheses?

Answers

Answer:

[tex]y = {x}^{2} - 4x[/tex]

THIS IS DUE REALLY SOON CAN SOMEONE HELP PLEASE???

find the # of tiles in stages 0-4, then write an expression that represents the pattern.

Answers

Answer:

# = number of tiles + 2

Step-by-step explanation:

So It would be 3,5,7 but your would add 2 to each number of tiles increased.

There were 0 tiles in step 0

Answer:

It can be observed that there is a pattern

Step 1

2 + 1 = 2 + 1²

Step 2

2 + 4 = 2 + 2²

Step 3

2 + 9 = 2 + 3²

Step 4

2 + 4²

Step n

2 + n²

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?





158


132


120


110


70

Answers

Answer:

ps and qr is parellel so the 70°and x is co interior angles.

so, our equation will be look like .

70°+x=180°

x=180°-70°

x=110°

The sides PS and QR are parallel for x = 110°

Option 4 is correct.

What are consecutive-interior angles?

The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.

As per the given data:

PQRS is a quadrilateral with sides PS and QR parallel.

∠P = 70°

∠Q = x°

∠S = 112°

For sides PS and QR to be parallel:

∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}

x° + 70° = 180°

x = 110°

Hence, sides PS and QR are parallel for x = 110°

To lean more about consecutive-interior angles, click:

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#SPJ2

Estimate 8 / 738.4 .

Answers

Answer:

0.01

Step-by-step explanation:

the answer is 0.010834 so I would round that to 0.01

what is [tex]\sqrt{x} -7=\sqrt{x -7[/tex]

Answers

USE PHOTOMATH , it will solve it and show you how to do it , I use it for maths questions like this !!!!!!

Solve the multi-step equation and place the steps in the correct order.
(Pls)

Answers

Answer:

1. 3x -6 + 4 = -20

2. 3x - 2 = -20

3. 3x = -18

4. × = -6

Answer:

The first one is 3x-2=-20. So the - 2 will cross the equal sign making it positive so it will be 3x = -20+2 given you 3x = - 18. You will divide it by 3 given u - 6. So all of them x= - 6

Mia is playing a video game she earns 30 points when she completes level 1. Each time she completes a level, she earns twice as many points as the previous level. How many points for Monica earn when she competes level 8? enter your answer in the box.

Answers

Answer: she will have 7,680 points when she completes level 8


Explanation: you just have to multiply the result by 2 , and you have to do it 8 times

Mixture Problem
1. How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?

Answers

Answer:

Amount of active ingredient is 0.04(8+x)= 0.32+0.4x

---------------

EQUATION:

active ingre. + active ingre. = active ingre

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4ML (amount of water that must be added)

The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

8 mL of 6% saline solution to reduce the concentration to 4%.

Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.

The amount of active ingredients is

0.04(8 + x) = 0.32 + 0.4x

Active ingredients + active ingredients  = active ingredients

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4 ml; the amount of water that must be added

Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

Learn more about the percentage here:

brainly.com/question/8011401

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Last year, Maya opened an investment account with 8,800. At the end of the year, the amount in the account had decreased by 26.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment= $8,800

Percentage decrease= 26.5%

To calculate the money Maya lost, we need to use the following formula:

Decrease on dollars= 8,800*0.265

Decrease in dollars= $2,332

At the end of the years she has:

Money left= 8,800 - 2,332

Money left= $6,468

_-12=0
(Negative 12^)

Answers

Answer:

-12

Step-by-step explanation:

as the poem goes,

if you are bad at being good then you are bad

if you are good at being good then you are good

if you are bad at being bad then you are good

if you are good at being bad then you are good

take the third line into account

-12 - -12 is the same as -12 + 12 = 0

what is the slope of the graph

Answers

Answer:

1 over 4

Step-by-step explanation:

if u do rise over run it will be 1 over 4 as well

Step-by-step explanation:

x=20 y =5

y=mx+b

b=0

5=20m

m=5/20=0.25

the slope is 0.25

will give brainliest

Answers

Answer:

The answer is B

Step-by-step explanation:

anyone know how to do this???

Answers

Answer:

My guess would be B

Step-by-step explanation:

I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses

answer on Brainly.

It takes 1 ticket to ride the Ferris wheel at an amusement park. The amusement park earns $144 for each Ferris wheel ride if the cars are full. The Ferris wheel seats 48 people. Write an equation that can be used to determine the cost (c) for 1 ticket.

Answers

Answer:

It would cost 3 dollars.

Answer:

3 dollars

Step-by-step explanation:

Find the product of (x − 3)2.

x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9

Answers

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

1

1

Constance can decorate 2 ornaments in 4 hour.

Part A: How many ornaments, per hour, can Constance decorate? Explain your

answer and show your work.

Your answer

This is a required question

Answers

Answer:

1/2 ornament in an hour

Step-by-step explanation:

Given

[tex]Orna\ ments = 2[/tex]

[tex]Time = 4[/tex]

Required

Determine the ornaments per hour

This question implies that we calculate the unit rate.

[tex]Unit\ Rate = \frac{Orna\ ments}{Time}[/tex]

Substitute values for Time and number of ornaments

[tex]Unit\ Rate = \frac{2}{4}[/tex]

[tex]Unit\ Rate = \frac{1}{2}[/tex]

This implies that Constance can decorate 1/2 ornaments in an hour

help me out with this pls (multiple choice)

Answers

Answer:

C

Step-by-step explanation:

In a 45-45-90 triangle, two of the sides are congruent because the angles are congruent. Choice C is the only answer in which the sides are congruent.

Please help. its not hard

Answers

Answer:

Tbh Im not sure

Step-by-step explanation:

Answer:

I think the answer is 1/2 (x^2 + 11x + 30) but see the discussion below.

Step-by-step explanation:

I can hardly read the signs between the dimensions. This is my best guess.

Area Shaded = Area Rectangle - Area Triangle

Area Rectangle = (x + 5)(x + 6)

Area Triangle = 1/2 (x + 5 ) ( x + 6)

Area shaded = (x + 5)(x+6) - 1/2 (x + 5)(x + 6)

Area shaded = 1/2 (x + 5)(x + 6)

Area Shaded = 1/2 (x^2 + 11x + 30)

If the second factor (x + 6) is really x - 6 then the area of the shaded area is 1/2  (x+5)(x - 6)

Area Shaded = 1/2 * (x^2 - x - 30)

can you help me please ​

Answers

Given:

The figure of a triangle.

To find:

The value of x.

Solution:

According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.

Using triangle proportionality theorem, we get

[tex]\dfrac{2x}{80}=\dfrac{27}{60}[/tex]

[tex]\dfrac{x}{40}=\dfrac{9}{20}[/tex]

Multiply both sides by 40.

[tex]x=\dfrac{9}{20}\times 40[/tex]

[tex]x=9\times 2[/tex]

[tex]x=18[/tex]

Therefore, the value of x is 18.

10. A line with a negative slope and a negative
y-intercept is graphed on a coordinate
plane. Which quadrant will the line not pass
through? Justify your response.

Answers

Answer:

The line will not pass through the first quadrant.

Step-by-step explanation:

Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.

Later, someone wants to use the data to find the amount of water at times before the sensor started. What should the sensor have read at the time -7 minutes?

Answers

it 4.56 that how i know because

Which of the following are exterior angles? Check all that apply.

Answers

i think the answer would be 6 , 4 , 2

Calculator
What is the surface area of the square pyramid represented by
the net?
Enter your answer in the box.
5 ft
ft?

Answers

Answer:

40.32

Step-by-step explanation:

I did it on Goggle

3x^2+ 7x +2, can I get help with this one also ?

Answers

Answer:

(3x + 1)(2x + 1)

Step-by-step explanation:

Remark

This thing really does factor.

Both the first and last coefficients are prime, so if it factors easily 1 and 3 and 1 and 2 must be there somewhere.

(3x + 1)(x + 2)    would be the logical guess. That turns out to be correct.

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