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13. In an Isosceles triangle MKL, MK is congruent to ML. If MK = 7x - 10,KL = 4x - 3, and ML = 10x - 37, find x and the measure of each side.

13 In an Isosceles triangle MKL MK is congruent to ML If MK 7x 10KL 4x 3 and ML 10x 37 find x and the measure of each side class=

Respuesta :

Given in the question:

a.) MK is congruent to ML.

b.) MK = 7x - 10

c.) KL = 4x - 3

d.) ML = 10x - 37

Applying the given descriptions, we get:

[tex]\text{ MK = ML}[/tex][tex]\text{ 7x - 10 = 10x - 37}[/tex][tex]7x\text{ - 10x = -37 + 10}[/tex][tex]\text{ -3x = -27}[/tex][tex]\text{ }\frac{\text{-3x}}{-3}\text{ = }\frac{\text{-27}}{-3}[/tex][tex]\text{ x = 9}[/tex]

Therefore, x = 9.