Question

Triangles WSR and TVR are similar. Find x.

Answer 1

They are similar. Set the proportions equal to each other

(x + 8)/8 = (x+14)/12

Cross multiply

(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)

12(x + 8) = 8(x + 14)

Distribute the 12 and 8 to the corresponding monomials inside the parenthesis

12(x + 8) = 12x + 96

8(x + 14) = 8x + 112

12x + 96 = 8x + 112

Isolate the x. Subtract 8x from both sides and 96 from both sides

12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)

12x - 8x = 112 - 96

4x = 16

Isolate the equal sign. Divide 4 from both sides

4x/4 = 16/4

x = 16/4

x = 4

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4 is your answer for x

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hope this helps