Question

Find the Value of X of this triangle

Answer 1

Answer: x=2

Step-by-step explanation:

This is an isosceles triangle. That means both of the sides marked are congruent.

That means we can set up this equation and solve it:

$7(x+2)=4(9-x)$

First let's use the distributive property

$(7)(x)+(7)(2)=(4)(9)-(4)(x)\\7x+14=36-4x$

Now we can add 4x on both sides

$7x+14+4x=36-4x+4x\\11x+14=36$

Next we subtract 14 from both sides

$11x+14-14=36-14\\11x=22$

Finally we divide both sides by 11

$\frac{11x}{11} =\frac{2}{11} \\x=2$

Answer 2

Answer:

x=2

Step-by-step explanation:

Since the base angles are the same, the side lengths are the same, making this an isosceles triangle

7(x+2) = 4(9-x)

Distribute

7x+14 = 36 -4x

Add 4x to each side

7x+4x +14 = 36 -4x+4x

11x +14 = 36

Subtract 14 to each side

11x+14-14 = 36-14

11x = 22

Divide by 11

11x/11 =22/11

x=2