Question

Find the value of x help please.

Answer 1

x= 6

Explanation:

since the triangle is isosceles we know that opposite sides are equal

`5x+5=35\\\\5x=35-5\\\\5x=30\\\\x=(30)/(5)\\\\x=6`

Answer 2

`\boxed {\boxed {\sf x=6}}`

Explanation:

An isosceles triangle has 2 equal base angles and 2 equal legs.

In this triangle, 16 must be the base, because the base angles are adjacent. Therefore, the legs are 35 and 5x+5. They must be equal to each other.

`35=5x+5`

Solve for the value of x by isolating the variable on one side of the equation.

5 is being added to 5x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

`35-5=5x+5-5 \\ 35-5=5x\\30=5x`

x is being multiplied by 5. The inverse of multiplication is division. Divide both sides by 5.

`(30)/(5) =(5x)/(5) \\(30)/(5)=x\\6=x`

The value of x is 6.