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Bezzdna [24]
3 years ago
7

The figures in each pair are similar. Find the value of each variable. Show your work.

Mathematics
1 answer:
ki77a [65]3 years ago
8 0

Answer:

A. x = 4; B. x = 6; y = 24

Step-by-step explanation:

The corresponding sides of similar figures are proportional to each other.

A. Rectangles

x/2 =16/8         Multiply each side by 2

  x = 2 × 16/8

  x =4

B. Triangles

x/18 = 4/12     Multiply each side by 12

    x = 18 × 4/12

    x = 6

y/8 = 12/4     Multiply each side by 8

  y = 8 × 12/4

  y = 24

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Answer:

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Step-by-step explanation:

Let a be Kenny's age , b be Andrew's age , c be Tim's age , d be Cameron's age

( b < a , b<c , d<b)

Kenny is 8 years older than Andrewn = > a = b + 8 (1)

Tim is 3 times  as old as Andrew => c = 3 . b (2)

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The combined age of the four is 63 => a+b+c+d = 63 (4)

(1),(2),(3),(4) => b+8 + b + 3b + b-5 = 63 <=> 6b + 3 = 63 <=> b = 10

=> a= 10+8 =18, c = 3 . 10 = 30, d= 5

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