Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.

Show That The Two Triangles Given Beside Are Similar And Calculate The Lengths Of Sides PQ And PR.

Answers

Answer 1

9514 1404 393

Answer:

ΔABC ~ ΔPQRPQ = 8PR = 14

Step-by-step explanation:

Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...

  ΔABC ~ ΔPQR by AA similarity

__

The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.

  PQ = 2·AB = 2·4 = 8

  PR = 2·AC = 2·7 = 14

The side lengths of interest are ...

  PQ = 8, PR = 14


Related Questions

Find the length of the hypotenuse of a right triangle with legs measuring 7 cm and 9 cm. Round your answer to the nearest tenth.

Answers

Answer:

Hypotenuse = 11.4 cm

Step-by-step explanation:

Hypotenuse ² = opposite ² + adjacent ²

Opposite = 7 cm

Adjacent = 9 cm

Hypotenuse ² = opposite ² + adjacent ²

= 7² + 9²

= 49 + 81

Hypotenuse ² = 130

Hypotenuse = √130

= 11.40

Hypotenuse = 11.4 cm

A student earns $12 each time he mows his neighbor’s lawn. He earned a total of $108 mowing the lawn last summer. Which of the following equations could be used to find w, the number of times the student mowed his neighbor’s lawn last summer?

Answers

Answer:

the equation would be m = 12w but we can't see the options.

m stands for the amount of money made.

f(x) = x^2 . What is g(x)?​

Answers

Answer:

g(x) = (1/4x)^2

Step-by-step explanation:

Given f(x), we want to get g(x)

As we can see, the point (4,1) lies on the graph of g(x)

So the correct option will be the one where g(4) = 1

Let us take a look at the second option

g(x) = (1/4x)^2

Here,

g(4) = (1/4 * 4)^1 = 1^1 = 1

please help! solve for the value of y

Answers

Answer:

26

Step-by-step explanation:

5y-3+2y+1=180

7y-2=180

7y=182

y=26

What is the 22nd term of the arithmetic sequence where a = 8 and a9 = 56? (6 points)
O 134
Ο 142
Ο Ο Ο Ο

Answers

Answer:

The 22nd term of the arithmetic sequence is 13

Step-by-step explanation:

Hope I helped

Thelma and Louise are in charge of purchasing supplies for their school film program. Thelma and Louis have at most $350 to spend. Write an inequality representing the amount Thelma, x, and Louise, y have to spend.

Answers

Answer:

350 >= x + y

Step-by-step explanation:

They have at most 350 so they can't spend over 350 but they can spend less

math i need to know

Answers

Answer:

Try first and last

Step-by-step explanation:

A triangle has one angle that measures 61 degrees, one angle that measures 44 degrees, and one angle that measures 75 degrees. what kind of triangle is it?
choices
1.right triangle
2.obtuse triangle
3.acute triangle ​

Answers

It is an acute triangle because none of the angles are 90 degrees or higher

Answer:

Acute triangle

Step-by-step explanation:

All the three angles of the triangle is less than 90, all angles are acute. So, it is acute triangle.

If any one of the three angles is 90, then it is right triangle.

If any one of the three angle is more than 90, then it is obtuse triangle.

I'm so tired. Please help my sleep deprived brain with this! ​

Answers

Answer: 1

Step-by-step explanation:

The given point shows -, and the absolute value of that is the distance the number is to 0 and the distance is 1

Answer:

I am pretty sure it's one.

Step-by-step explanation:

Hope this helps! I hope you have a good day!! And get some sleep! You deserve it! Remember to be tiger fierce, after you've gotten some sleep (:

The balloon is floating 20 yds west of
where the rope is tied to the
ground. About how high in the air is the
hot air balloon? Round to the nearest
whole number.

Answers

Answer:

Step-by-step explanation:

Find the unit rate. Round to the nearest hundredth, if necessary.

$290 for 13 ft2

Answers

To nearest hundredth if necessary 5.6

find the values of the following
(a) -5×4+3×-6​

Answers

Answer: -26+3x

-5×4+3×-6​

Simplifies to:

-20+3x-6

A 24 pack of box of colored gel markers cost $12.96. What is the cost per marker ?

Answers

Answer:

0.54 cents

Step-by-step explanation:

Answer:

$0.54

Step-by-step explanation:

12.96 / 24 = 0.54 per marker

!!HELP ILL MARK BRAINLIST !!Write an expression for the area of the square four by combining the areas of the four triangles and two squares

Answers

Answer:

yeetus

Step-by-step explanation:

HELP PLZ AND THANKS
The figure represents the graph of the function y=-x^4 -4x³ +14x² +14x -n which of the following could be the value of n? (A) -50 (B) -18 (C) 50 (D) 100 (E) 150

Answers

Answer:

the point(0,50) is located in this graph. so :

50= -4(0)³ + 14(0)² +14(0) -n →

50=-n →

n=-50

A is correct answer.

PLEASE HELP
Rhianna invests $1200 in stock and bonds. The stock pays 9% interest and the bonds pay 6% interest. If the total ANNUAL interest is $96, how much is invested in the stock alone?

Answers

Answer:

D. 800$

Step-by-step explanation:

Did it on USA test prep


fish swims at an altitude of -20.2 meters. A bird flies at an altitude of 38.1 meters. Which of the following statements are true? PLZ HEPPO

Answers

Answer:

D and e

Step-by-step explanation:

Find the surface area of the cube show below
2/3

Answers

Answer:

Step-by-step explanation:

there are 6 sides on a cube

surface area = 6 times the area of one face of the cube

                     = 6 times ( a side times another side)      note all sides are equal

                     = 6(side)²         is a side equal to 2/3 ??   if it is ....

                     = 6(2/3)²

                     = 6(2/3)(2/3)     one of the 3s divide into 6 twice

                     = 2(2)(2/3)

                     = 2³ / 3

                     = 2x2x2 / 3

                     = 8 /3

                     = 2 and 2/3  units²

what is the volume of the triangular prism in cubic centimeters ?

Answers

well not getting any of the answers :/ i get 1184

Answer:

I-get-1181

Step-by-step explanation:

Sorry-if-wrong

9.


A. She used y-values where she should have used x-values.

B. She did not keep the order of the points the same in the numerator and the denominator.

C. She mixed up the x- and y-values.

D. She should have added the values, not subtracted them.

Answers

Answer:

B. She did not keep the order of the points the same in the numerator and the denominator.

Step-by-step explanation:

The formula to calculate slope is:

[tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex]

She instead used this formula:

[tex]\frac{y_{1}-y_{2}}{x_{2}-x_{1}}[/tex]

The student made the mistake of not keeping the numerators and denominators in the same order.

Please help thank you

Answers

Answer:

20

Step-by-step explanation:

if u know about 90 60 30 triangles u wud know. i cant really explain it but it wud be worthwhile to search it up. its very simple and will help you a lot.

Answer:

x = 20

Step-by-step explanation:

cos 60 = 10/x

0.5 = 10/x

0.5x = 10

x = 20

Dylan bought 3 identical shirts and a $20 pair of shorts from the store. His total cost was $56. How much did each shirt cost?

Answers

Answer:

12$

Step-by-step explanation:

56-20=36

36/3=12

12

algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in picture

Answers

Answer:

13x^2+2x+5

Step-by-step explanation:

that is the right answer

You have to combine the like terms.

Answer:

[tex]40x^{4}[/tex] - [tex]9x^{3}[/tex] + [tex]46x^{2}[/tex] + 6x + 16

Step-by-step explanation:

There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?

Answers

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

Lindsey usd 2/3 cups of sugar to make 1/2 batch of cookies. How much sugar should she use to make a full batch of cookies?

Answers

Lindsey would need to use 4/3 cups of sugar to make a full batch of cookies.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use proportions to solve this problem.

If 2/3 cups of sugar are used to make 1/2 batch of cookies, then we can set up the following ratio:

2/3 cups of sugar : 1/2 batch of cookies

We want to find how much sugar is needed for a full batch of cookies. Let's call this amount x cups of sugar.

We can set up another ratio:

x cups of sugar : 1 full batch of cookies

To solve for x.

(2/3 cups of sugar) x (1 full batch of cookies) = (1/2 batch of cookies) x (x cups of sugar)

2/3 = 1/2 (x)

x = (2/3) / (1/2)

x = 4/3

Therefore,

Lindsey would need to use 4/3 cups of sugar to make a full batch of cookies.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Please help me with 1 to 5 and please graph all to 1 to 5 in a note book and show me how you get the answers from 1 to 5

Answers

Answer:

Download the app Photomath

187 times 280 equals what

Answers

Answer:

<3<3<3<3<3<3<3

52,360

<3<3<3<3<3<3<3

Answer:

52,360

Step-by-step explanation:

A multiple-choice test consist of 100 questions. A correct answer is with 2 Marks While an incorrect answer is worth -1 Marks if a student received a score of 80 how many questions did the student answer incorrectly?

Answers

Answer:

im guessing 20 questions are incorrect

Step-by-step explanation:

How many square feet of outdoor carpet will we need for this hole?​ ASAP

Answers

Answer:

39 sq.ft

Step-by-step explanation:

Fig = rectange 1 +rectange 2

Area of rec 1 = l x b = 3 x 2 = 6 ft2

Area of rec2 = l x b = 11 x 3 = 33ft2

Area of whole fig = area of rec 1+ area of rec 2 = 33+6 = 39 sq.ft

I hope im right!!

Answer:

The answer is 39 square ft

Step-by-step explanation:

first we have to divide it into parts.

I did:

11 by 3

and

3 by 2

so 11x3=33

and 3x2=6

so 33+6=39 square ft


12 is 15% of what number?

Answers

Answer:

80

Step-by-step explanation:

Go to go ogle

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