Question

What is the value of x? Please explain...

Answer 1

Answer:
X=14

Explanation:
The question tells us that the triangle is an equilateral triangle, meaning all of its side lengths are equal.

The perimeter of the triangle is all the lengths added together, so we can say this:

Perimeter=3(1.75x-2)

And since the question tells us the perimeter, we can input that into the equation as well.

67.5= 3(1.75x-2)

And now we solve:

67.5= 3(1.75x-2)
Distribute 3 into the parentheses
67.5=5.25x-6
Combine like terms (move -6 to the other side)
67.6+6=5.25x
73.6=5.25x
Divide both sides by 5.25
73.6/5.25=5.25x/5.25
14=x

I hope this helps! Please comment if you have any questions.