Question

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

What is the value of x?



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x =

Answer 1

`x=12`

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