Question

PLEASE HELP WILL GIVE 50!!! POINTSSSS!!!!

Answer 1

Answer:

$x=12$

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (each angle measures 60 degrees)

In this problem we have a equilateral triangle

so

$AB=BC=AC$

Equate AB=BC

$(4x-10)=(3x+2)$

solve for x

$(4x-3x)=(10+2)$

$x=12$

Verify the length of each side

$AB=4x-10=4(12)-10=38\ units$

$BC=3x+2=3(12)+2=38\ units$

$AC=5x-22=5(12)-22=38\ units$

therefore

$AB=BC=AC$ ---> is correct