Question

What is the value of x? Enter your answer in the box. x =

Answer 1

Answer:

x=25

Step-by-step explanation:

Equilateral Triangle

Equilateral triangles are identified because they have all three sides of the same length and all three angles of the same measure.

The image shows a triangle with its three angles as congruent, thus it is an equilateral triangle.

Since we have two conditions and only one variable, we must be sure both conditions produce the same answer for x.

Equating two of the side lengths:

4x - 30 = 2x + 20

Subtracting 2x, and adding 30:

4x - 2x = 30 + 20

Operating:

2x = 50

x = 25.

Substituting x=25 in all the side lengths:

4x - 30 = 4*25 - 30 = 70

2x + 20 = 2*25 + 20 = 70

3x - 5 = 3*75 - 5 = 70

Once verified, it's sure that x=25