Question

question 4

δmkl is an isosceles triangle with \\( \overline { m k } \cong \overline { m l } \\). if mk = 7x - 15, kl = 4x - 5, and ml = 10x - 42, find kl.

answer attempt 1 out of 5

48
9
31
30

Explanation:

Step1: Set up the equation

Since \( \overline{MK}\cong\overline{ML}\), we have \(MK = ML\).
So, \(7x - 15=10x - 42\).

Step2: Solve for \(x\)

Subtract \(7x\) from both sides:
\(-15 = 3x-42\).
Add \(42\) to both sides:
\(27 = 3x\).
Divide both sides by \(3\):
\(x = 9\).

Step3: Find \(KL\)

Substitute \(x = 9\) into \(KL=4x - 5\).
\(KL=4\times9 - 5\).
\(KL = 36 - 5\).
\(KL = 31\).

Answer:

\(31\)