Question

What is the value of x?

Enter your answer in the box.

x =___

Answer 1

x = 12

Explanation:

The diagram shows an equilateral triangle (because all angles are congruent). All sides in equilateral triangle are congruent, so

`4x-10=5x-22=3x+2`

Solve the equation

`4x-10=5x-22\\ \\4x-10-4x=5x-22-4x\\ \\-10=x-22\\ \\-10+22=x-22+22\\ \\12=x`

Check this value:

`4x-10=4\cdot 12-10=48-10=38\ units \\ \\5x-22=5\cdot 12-22=60-22=38\ units\\ \\3x+2=3\cdot 12+2=36+2=38\ units`

Thus,
`x=12`