Assume each pair of figures, the second polygon is similar to the first, with the same orientation. set up equations to find the lengths of the sides labeled by variables solve each equation and find the labeled lengths find any remaining lengths of either figure.

5.

6 / t = 9 / (t+2)

9t = 6t + 12

3t = 12

t = 4   answer

The remaining length:-

6 / 4 = 11 / x

6x = 44 so x = 7.33  answer

6.  8 / w = 6 / (w - 5)

6w = 8w - 40

2w = 40 so w = 20 answer

The side marked w - 5  = 20-5 = 15 answer

8/14 = 20/x giving the top side =  35  answer

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step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.