Question

Complete the statements to solve for x. By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN. Substitute the expressions into the proportion: . Cross-multiply: (x – 5)() = x(x – 3). Distribute: x(x) + x(4) – 5(x) – 5(4) = x(x) + x(–3). Multiply and simplify: x2 – x – = x2 – 3x. Solve for x: x =

Answer 1

Answer: Answer below!

Explanation:

Answer 2

Answer with explanation:

If a line is drawn parallel to one side of triangle, then it divides the other two sides in the same ratio.

KM ║JN

`(JK)/(KL)=(NM)/(ML)`

So, Solving for, x

`(x-5)(x+4)=x(x-3)\\\\ x(x+4)-5(x+4)=x* x - 3 x\\\\ x^2+4 x -5 x -20=x^2 - 3 x}\\\\ -x-20= -3 x\\\\ -x + 3 x=20\\\\ 2 x=20\\\\x=(20)/(2)\\\\ x=10`