The measures of two of the sides of an equilateral triangle are 3x + 15 in. and 7x – 5 in. What is the measure of the third side in inches? step by step

Question

Responses

5

1

18

30

Answer 1

To find the measure of the third side of the equilateral triangle, we need to set the two given side lengths equal to each other and solve for x.

Given: 3x + 15 = 7x - 5

First, let's simplify the equation by combining like terms:
15 + 5 = 7x - 3x
20 = 4x

Next, divide both sides of the equation by 4 to solve for x:
20/4 = 4x/4
5 = x

Now that we have found the value of x, we can substitute it back into one of the given side lengths to find the measure of the third side:
3(5) + 15 = 30 + 15 = 45

Therefore, the measure of the third side is 45 inches. The correct answer is option 4.

Answer 2

the answer is 30 not 45

Answer 3

Apologies for the mistake. Let's go through the steps again to find the correct answer.

Given: 3x + 15 = 7x - 5

Simplifying the equation:
15 + 5 = 7x - 3x
20 = 4x

Divide both sides of the equation by 4 to solve for x:
20/4 = 4x/4
5 = x

Substitute x = 5 back into one of the given side lengths to find the measure of the third side:
3(5) + 15 = 30 + 15 = 45

Therefore, the measure of the third side is indeed 30 inches. The correct answer is option 3.