MATHEMATICS HIGH SCHOOL

The pairs of polygons below are similar. Give the sale factor of figure A to figure B

Answers

Answer 1

Answer:

Yo sup??

Since the two figures are similar therefore their sides are in proportion.

for the first one

factor=2/8=1/4

for the second

factor=10/4=5/2

Hope this helps.

Answer 2

Answer:

Answer: 7

Step-by-step explanation:

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Whats is the square root of 2 multiply by one over the square root of 2

Answers

When ANY number is multiplied by its own reciprocal, the product is ' 1 '.

The quotient of a number and 3 is decreased by 121. The result is -164.

Answers

quotient of number and 3 decreased by 121 is -164
change them to equations

121 - $(n)/(3)$ = - 164
- $(n)/(3)$ = -285
- n = -855
n = 855

check:
121 - $(855)/(3)$ = -164
121 - 285 = -164
-164 = -164

The altitude of an equilateral triangle is 18 inches. Find the length of a side

Answers

Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

Hypotenuse = 18 / Sin60°. Sin60° = √3 / 2

x = 18 / (√3 / 2)

= 18 / √3 * 2/1 = 36 / √3

x = 36 / √3

Rationalize the surd = 36 / √3 * (√3 / √3 ) = 36√3 / 3

x = 12√3 ≈ 12 * 1.732 ≈ 20.784

Length of side, x = 12√3 ≈ 20.784 inches.

What is the length of the third side of the window frame below?A. 10 inches
B. 12 units
C. 16 units
D. 20 units