Question

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.

Answer 1

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:

`\text{ MK = ML}`
`\text{ 7x - 10 = 10x - 37}`
`7x\text{ - 10x = -37 + 10}`
`\text{ -3x = -27}`
`\text{ }\frac{\text{-3x}}{-3}\text{ = }\frac{\text{-27}}{-3}`
`\text{ x = 9}`

Therefore, x = 9.