Mathematics, 22.05.2020 04:07 2643050

What value of x would make KM ∥ JN?

Triangle J L N is cut by line segment K M. Line segment K M goes from side J L to side L N. The length of J K is x minus 5, the length of K L is x, the length of L M is x + 4, and the length of M N is x minus 3.

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: StartFraction x minus 5 Over x EndFraction = StartFraction x minus 3 Over x + 4 EndFraction.

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 = .

Answers: 2

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:30, dessssimartinez6780

Name these type of angles shown check all that applies

Answers: 2

continue

Mathematics, 21.06.2019 19:30, cynthiakk

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Answers: 1

continue

Mathematics, 22.06.2019 04:30, thanerose

Amath test has a total of 20 problems some problems are worth two points and some are worth three points the whole test is worth 452 points how many three-point problems were there

Answers: 1

continue

Mathematics, 22.06.2019 07:20, ExperimentsDIYS

Find the equivalent expression using the same bases. (41 * 31)^2

Answers: 1

continue

You know the right answer?

What value of x would make KM ∥ JN?

Triangle J L N is cut by line segment K M. Line segm...