Question

Write a proportion to find the value of each x

Answer 1

see explanation

Explanation:

Since the triangles in both cases are similar then the ratios of corresponding sides are equal.

(1)

`(EF)/(HJ)` =
`(FG)/(JG)`, substitute values

`(5)/(3)` =
`(x+9)/(9)` ( cross- multiply ) ← proportion

3(x + 9) = 45 ( divide both sides by 3 )

x + 9 = 15 ( subtract 9 from both sides )

x = 6

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(2)

`(LM)/(NM)` =
`(KM)/(LM)`, substitute values

`(6)/(5)` =
`(x+5)/(6)` ( cross- multiply ) ← proportion

5(x + 5) = 36 ( divide both sides by 5 )

x + 5 = 7.2 ( subtract 5 from both sides )

x = 2.2