In the figure below, triangle ABC is similar to triangle PQR, as shown below.

What is the length of side PQ? (1 point)
a-33
b-34
c-35
d-36

In The Figure Below, Triangle ABC Is Similar To Triangle PQR, As Shown Below.What Is The Length Of Side

Answers

Answer 1

Answer: 36

Step-by-step explanation:

As you can see, side AB is similar with side PQ.

Also, side BC is similar with side QR.

If you divide the length of side QR (34.5) by the length of side BC (11.5)

you get 3.

3 is the ratio that you will use to find the other side. The ratio of triangle ABC to  PQR is 1:3

Multiply the side of AB (12) by 3 and you will get 36.

Answer 2

The measure of side PQ in triangle PQR is 35 units. Therefore, option D is the correct answer.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle ABC is similar to triangle PQR.

By similar triangles statement, we have

AB/PQ = BC/QR

12/PQ = 11.5/34.5

12×34.5=PQ×11.5

11.5PQ=414

PQ=414/11.5

PQ=36

Therefore, option D is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ2


Related Questions

(a x b) x c = a x (b x c) (Commutative, Associative, Identity, or Distributive)

Answers

Answer:

commutative property

Step-by-step explanation:

Sarah is trying to run a certain number of miles by the end of the month. If Sarah is 80% of the way to achieving her goal and she has already run 40 miles, how many miles is she trying to run by the end of the month?

Answers

Answer: 50 miles

Step-by-step explanation:

Let the miles that she is trying to run by the end of the month be denoted by x.

Since she is 80% of the way to achieving her goal and she has already run 40 miles. This can be expressed as:

80% of x = 40

80/100 × x = 40

0.8x = 40

x = 40/0.8

x = 50

The miles that she is trying to run by the end of the month is 50 miles.

perimeter: 16, calculate
the value of x when the length
of the rectangle is 3x and the
hieght is x​

Answers

Step-by-step explanation:

Perimeter = 16

length = 3x

height = x

P = 2L + 2H

16 = 2(3x) + 2(x)

16 = 8x

hence:

x = 2.

nats grocery bill was $150 with a 5% discount. what was her bill before the discount​

Answers

Answer:

Hello, the answer is $7.50 dollars.

5% is 0.5.

You multiply $150 by 0.5, then you get $7.50 dollars as the answer.

ANSWER PLSSS NOWWWWW

Answers

Answer:

good luck with tht bro.....

Consider the equation 4x -5(2x +1) = ax + b If a= (-6) and b=0 how many solutions does this eqaution have

Answers

it has one solution. x=2/7. im pretty sure

What is the root of polynomial function

Answers

Answer:

The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to zero

Step-by-step explanation:

Write a linear equation that passes throug the point (2,-9) and has a slope of -5 in slope-intercept form.​

Answers

Answer: y = -5x +1

Step-by-step explanation:

y+9 = -5(x-2)

y+9 = -5x+10

y     = -5x+1

Chuck-E-Cheese is open for 11 ½ hours during a day. The arcade keeps one employee in charge of games at a time. Each shift is 3 ¾ hours long. How many complete shifts are there each day?

Answers

Answer:

3 complete shifts

Step-by-step explanation:

Simple division!

11.5 / 3.75 =

3.066 --> 3

Consider Brainliest! Hope I helped!

3 shifts


use long division

hope this helps!
happy thanksgiving

Please can’t you help me!!
REALY FAST PLEASE

Answers

Answer:

65%

Step-by-step explanation:

this is because the decrease of price is 247 amd if u divide by original its 65%

Express your answer in simplified form.
Help would be appreciated!

Answers

Square root of -9 = square root of 9i
The answer would be 3i

HOW DO I TRANSFORM THAT S INTO A ZERO!!!! PLS HELP!!!

You can add subtract divide or multiply.​

Answers

Answer:

try dividing it's best for the problem your doing and ik im not the best at math but i do a lot of problem like this during school and first find what number -n is and it won't be a positive number remember that, tbh i really hope this helped im not sure if it did im so sorry if it didn't.

Step-by-step explanation:

Need help asappppppp

Answers

Answer:

press control u on ur google forms quiz than scroll all the way down to the questions and the answer should be right next to them.

Before 2017, smartphones by major manufacturers all had screens with a aspect ratio. In 2017, two major brands released phones with screens in an aspect ratio. However they still reported their screen size using the same diagonal length of the earlier phones, 5.8 inches. How did the change in aspect ratio affect the screen size, if at all?

Answers

Answer:

the question is missing the numbers, so I looked for a similar one and found that screens back in 2017 had a 16:9 ratio and since then it changed to 18.5:9 ratio

the area of the screen is b x a x 0.5

we can form triangles:

old aspect ratio (16:9):

a = 1.778b

h = √(a² + b²)

5.8 = √[(1.778b)² + b²]

5.8 = √(3.16b² + b²)

5.8² = 4.16b²

33.64 = 4.16b²

b² = 33.64 / 4.16 = 8.0865

b = √8.0865 = 2.8437

a = 2.8437 x 1.778 = 5.056

area = 2.8437 x 5.056 x 0.5 = 7.19 in²

new aspect ratio (18.5:9):

a = 2.0556b

h = √(a² + b²)

5.8 = √[(2.0556b)² + b²]

5.8 = √(4.2253b² + b²)

5.8² = 5.2253b²

33.64 = 5.2253b²

b² = 33.64 / 5.2253 = 6.4379

b = √6.4379 = 2.5373

a = 2.5373 x 2.0556 = 5.2157

area = 2.5373 x 5.2157 x 0.5 = 6.62 in²

the actual screen area decreased by 0.57 in² or 7.93%

Mr.Johnson is planning what to wear tomorrow. He has a white shirt, a plaid shirt, and a blue shirt. He has four pairs of pants to choose from. They are black, brown, gray, and white. If he chooses one shirt and one pair of pants, how any possibilities does r. Johnson have?

Answers

Answer:

Mr. Johnson has 12 possibilities.

Step-by-step explanation:

The information provided are:

Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.Mr. Johnson  has four pairs of pants, black, brown, gray, and white.He chooses one shirt and one pair of pants.

Compute the number of ways to select a shirt and a pair of pants as follows:

Total number of ways = Number of Shirts × Number of pair of pants

                                     [tex]=3\times 4\\\\=12[/tex]

Thus, Mr. Johnson has 12 possibilities.

Pls help me im really dumb right now but pls help me .p.s.its on career they didnt have a mode for career and pls dont do it for the points.

Answers

Answer:

A. National Labor Relations Act

Step-by-step explanation:

On a number line, 0.7 would be located. Choose all answers that make a true statement
A. to the right of 0.54
B. to the left of 0.8
C. between 1.6 and 1.8
D. to the right of 0.9
please help me

Answers

Answer:

A and B are correct

Answer: A, B


Explanation:

based on the graph, what are the rate of change and the y intercept of the line.

O the rate of change is 1/2 and the y-intercept is 1

O the rate of change is one and the y-intercept is 1/2

O the rate of change is 1/2 and the y intercept is -2

O the rate of change is 2 and the y intercept is 1

Answers

Answer:

The rate of change is 1/2 and the y-intercept is 1

Step-by-step explanation:

You can calulate the rate of change by picking two points on the graph and using the slope formula

(y2-y1)/(x2-x1)

so in this example you can use the points (2,2) represeting (x1,y1) and (4,3) representing (x2,y2)

When you plug into the slope formula you get:

(3-2)/(4-2) = 1/2 which is the slope.

The y-intercept is where the line intersects the y=axis and can be  seen as the coordinate pair (0, #) where the # is the y intercept. From the graph you can see the y-intercept is 1, but you can aslo solve for the y-intercept using the slope-intercept equation:

y=mx+b

where b is the y-intercept and m is the slope.

so using a slope of 1/2 and a coordinate of (2,2) you get:

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

y = (1/2x)-1+2

y = (1/2x) + 1

so now the equation is in slope-intecept form and you can see the slope is 1/2 and the y-intercept is 1

a bakery sells 3642 pastries in 2010. The bakery sells 8422 pastries in 2015. write a linear model that represents the number y of pastries that thw bakery sells x after 2010.​

Answers

Answer:

Step-by-step explanation:

x is number of years after 2010

y is number of donuts

we are given

A bakery sells 7196 donuts in 2010

So, when x=0 , y=7196

Let's assume

The bakery sells 9236 donuts in 2015

now, we can find slope

we can plug values

now, we can use point slope form of line

we can plug values

if 33 laptops cost 30,000, what proportion could be used to determine the cost of 11 laptops?

Answers

Answer:

30,00 divided by 33= 909.09 times 11=9,999.99  hope it helps you

Step-by-step explanation:


Jada gets a quarters from a change machine at an arcade. She receives 4 quarters for every
dollar bill, d, that she puts into the machine.

What variable is dependent and independent between The number of dollor bills which is d and the number of quarters which is q??

Answers

Answer:

The dollar bills d are the independent variable while the number of quarters q are the dependent variable

Step-by-step explanation:

Here, we want to state the variable that is dependent and the one that is independent

from the question, she has to put in dollars to get the quarters

so the number of quarters she gets is dependent on the number of dollars put into the machine

Thus, we can conclude that;

The dollar bills are the independent variable while the number of quarters q are the dependent variable

Independent variables are those who are not dependent on other variables. In contrast, their exists dependent variables whose value depends on some other variable(s)' value(s).

For given case, the number of dollar bills 'd' is independent variable with respect to variable 'q'.

The number of quarters 'q' is dependent variable.

What are independent variables?

Independent variables are those who are not dependent on other variables for their evaluation.

What are dependent variables?

Those variables whose value is decided by the values of other variables. This shows that the variable in consideration is dependent on other variables for its values, thus called dependent variable.

Which of 'd' or 'q' is dependent and independent?

If you see it carefully, you'll see that the quarters received from the change machine is depending on how much dollar bills you're feeding to the machine.

Thus, the value of 'q' is dependent on the value of d.

But since d takes its value independent of q (it exists before q exists and doesn't need q to get its values), thus, d is not dependent on q or is independent variable with respect to q(i said "with respect to q" since d might be dependent on some other variable which we do not know right know)

Thus:

The variable 'q' is dependent variable (depends on d)

The variable 'd' is independent variable with respect to 'q.

Learn more about dependent and independent variables here;

https://brainly.com/question/967776

which relation is a function?

Answers

Top right I’m pretty sure

Answer:

A.) (The absolute value function)

Step-by-step explanation:

When evaluating pre-graphed relations, we can determine their functionality by performing the vertical line test!

Graph A (the one which looks like a v) passes the vertical line test while all others do not!

I hope I was of assistance! #SpreadTheLove! <3

In order to train for cross-state biking trip, Julie rides her bike 34.65 miles five times a week. How many total miles does she ride each week?

Answers

Answer:

173.25 miles

Step-by-step explanation:

do 34.65 x 5 to get the answer.

hope this helps!

The perimeter of a rectangle is 208 inches. The ratio

of its length to its width is 5:3. What are the

dimensions of this rectangle?

A. 60 in by 44 in

B. 65 in by 39 in

C. 68 in by 36 in

D. 72 in by 32 in

Answers

Answer:

65 in and 39 in respectively

Step-by-step explanation:

Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle,  Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:

2(5r) + 2(3r) = 16r = 208 in

Then r = 208/16 = 13

Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),

or 65 in and 39 in respectively.

As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.

Then

a man stands a distance away from a 45 foot tower. the angle of depression from the top of the tower to the man is 40 degrees. how far away is the man from the tower?

Answers

The answer is tan40/45

There are 8employees on The Game Shop's sales team. Last month, they sold a total of g games. One of the sales team members, Chris, sold 17 fewer games than what the team averaged per employee. How many games did Chris sell? Write your answer as an expression.

Answers

Answer:

(g/8) - 17

Step-by-step explanation:

Given that:

Number of employees = 8

Employees sold a total of g games

Chris sale = 17 fewer than team Average

Number of games Chris sold :

Team average :

Total sales made / number of employees

Team average = g/ 8

Number of games sold by Chris:

(g/8) - 17

Choose the best answer. What is the value of the expression x + (-y) when x = 1.2
and y = -10.72
-9.5
11.9
-11.9
9,5

Answers

Answer:

[tex]-9.5[/tex] is the best answer.

Step-by-step explanation:

Given the expression

[tex]x + (-y)[/tex]

putting x=1.2 and y=-10.72 in the expression

[tex]x\:+\:\left(-y\right)=1.2\:+\:\left(-10.72\right)[/tex]

                [tex]=-9.52[/tex]

Therefore, -9.5 is the best answer.

               

biren spends 3/8 of his share on clothes and 1/3​

Answers

?? Elaborate pls and I can’t try to help in comments:)

How much felt is used to make the flag?

Answers

Answer:

i can't see it

Step-by-step explanation:

it's blury.

According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.40 cm. A two year old girl with Down's syndrome has a head circumference of 44.5 cm. Children with Down's syndrome typically have smaller heads, so this is not surprising. 1. Relative to the WHO data, what is this girls z-score? What does the z score tell us? 2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

Answers

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

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