"Find the missing side lengths in each pair of similar figures." Someone explain please

Answers

Answer 1

Answer:

1. For triangle ABC, the value of 'x' and 'y' are 15 and 20 respectively.

2. For triangle XYZ, the value of 'x' and 'y' are 17 and 8 respectively.

What is a triangle?

A triangle is a two-dimensionalgeometrical figure that has three sides, three interior angles, and three vertices.

1. ΔABC and ΔXYZ are similar.

Therefore, $(AB)/(XY) = (25)/(10)$

⇒ $(AB)/(XY) = 2.5$

Here, $AC = x, XZ = 6$

Therefore, $(AC)/(XZ) = 2.5$

⇒ $AC = 2.5(XZ)$

⇒ $x = (2.5)(6)$

⇒ $x = 15$

Again, $CB = y, ZY = 8$

$(CB)/(ZY)= 2.5$

⇒ $(y)/(8) = 2.5$

⇒ $y = (2.5) (8)$

⇒ $y = 20$

2. For ΔABC

$= \sqrt{AB^(2) - AC^(2)}\n= \sqrt{34^(2) - 16^(2)}\n= √(900)\n= 30$ (Side can't be negative.)

Here, ΔABC and ΔXYZ are similar.

Therefore,

$(BC)/(ZY)\n= (30)/(15)\n= 2$

Now, $AB = 34, XY = x$

Therefore, $(AB)/(XY) = 2$

⇒ $(34)/(x) = 2$

⇒ $x = (34)/(2)$

⇒ $x = 17$

Again, $AC = 16, XZ = y$

Therefore, $(AC)/(XZ) = (16)/(y) = 2$

⇒ $(16)/(y) = 2$

⇒ $y = (16)/(2)$

⇒ $y = 8$

Learn more about a triangle here: brainly.com/question/2338119

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Answer 2

Answer: AB is proportional to XY since they are similar triangles making it 25:10 or 5:2
so then AC:XZ would be 5x:2x and 5x:6 so then its 15:6 since x is 3 basically set up proportions and so value of the big triangle to the small triangle would be at rails os 5:2

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Answers

Answer:

Step-by-step explanation: yes that os right

Marcie solved the following inequality, and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 −2x − 2 ≤ 6x + 22 −8x ≤ 24 x ≤ −3 What mistake did Marcie make in solving the inequality?

Answers

This is what she did:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)
−2x + 10 − 12 ≤ 4 + 6x + 18
−2x − 2 ≤ 6x + 22
−8x ≤ 24 x ≤ −3

The mistake is in the last step.
she divided by -8 and she didn't chage the sign of inequality.
When you multiply or divide by a negative number the sign of the inequality has to be changed.

The right step would show:
x ≥ -3

There are four more girls than boys in Ms. Raub's class of 28 students. What is the ratio of number of girls to the number of boys in her class?

Answers

Let the number of boys be x

Let the number of girls be x + 4

(x + 4) + x = 28

x + x + 4 = 28

2x + 4 =28

2x = 28 - 4 → 2x = 24 → x = 24 / 2 → x = 12

The number of boys is 12, so the girls are 12 + 4 = 16

Ratio of girls to boys → 16 : 12 → 4 : 3

Ratio of girls to boys is 4:3

A black tailed Jackrabbit hops about 7 feet in a single hop how far can it hop in 5 seconds

Answers

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7x5x?

Find the area of a parallelogram with base (b) and height (h) B= 74 cm
H=14.8 cm

A) 88.8 cm2
B)177.6 cm2
C)1,095.2 cm2
D)2,242.6 cm2

Thanks

Answers

Answer is C) 1,095.2 cm2
Formula for area for parallelogram is = b.h

Help me out please !!!!!

Answers

Answer:

Step-by-step explanation:

45+98+x=180

x = 37 , triangles equal 180° so 98+45=143 so 180-143= 37.

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