What is the value of X given that the two triangles are similar.

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Watt asked Oct 9, 2023

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13 votes

What is the value of X given that the two triangles are similar.

Mathematics
high-school

Watt asked Oct 9, 2023

by Watt

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1 Answer

20 votes

Answer:

x = 13

Explanation:

ΔRST≈ΔYSZ

therefore:

RT/ST = YZ/SZ

(3x-7)/40 = (2x+2)/35

cross-multiply:

40(2x+2) = 35(3x-7)

80x+80 = 105x-245

80 = 25x-245

325 = 25x

325/25 = x

x = 13

Ben In CA answered Oct 14, 2023

by Ben In CA

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