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2 years ago

Hey! Can I have a simple explanation and a value for x?

Mathematics

1 answer:

alexgriva [62]2 years ago

5 0

Hello from MrBillDoesMath

Answer:

x = 6

Discussion:

We are told the triangles are similar so corresponding parts have equal ratios . In our case this becomes

(5x-2)/7x = (3x+2)/5x

and we need to solve for "x". Multiply both sides by x

(5x-2)/7x*x = (3x+2)/5x*x =>

(5x -2)/7 = (3x+2)/5 ( as x/x = 1)

Multiply both sides by 35 ( = 7 * 5)

(5x-2)/ 7 * (7*5) = (3x +2 )/ 5 * (7*5) =>

(5x-2) * 5 = (3x +2) * 7 =>

25x -10 = 21x + 14 => (subtract 21x from both sides)

(25x - 21x) - 10 = 14 => (simplify)

4x - 10 = 14 => (add 10 to both sides)

4x = 14 + 10 =>

4x = 24 =>

x = 6

Thank you,

Mr. B

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