Find the X
2x+24
5x-30

x = 18

Concept:

Here, we need to know the idea of the isosceles decomposition theorem.

The Isosceles Decomposition Theorem states that in an isosceles triangle if a line segment goes from the vertex angle to the base, the following conditions are equivalent:

In this question, the first condition that is equivalent would be useful.

Solve:

Given information

First side of the line segment (TU) = 2x + 24

Second side of the line segment (UR) = 5x - 30

Given expression deducted from the first condition of the isosceles decomposition theorem

Second side = First side

Substitute values into the expression

5x - 30 = 2x + 24

Add 30 on both sides

5x - 30 + 30 = 2x + 24 + 30

5x = 2x + 54

Subtract 2x on both sides

5x - 2x = 2x + 54 - 2x

3x = 54

Divide 3 on both sides

3x / 3 = 54 / 3

Hope this helps!! :)

Please let me know if you have any questions

idk sry

step-by-step explanation:

answer is : muchas/tipicas

have a nice day!

~recklesschicken