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:
[tex]7(x+2)=4(9-x)[/tex]
First let's use the distributive property
[tex](7)(x)+(7)(2)=(4)(9)-(4)(x)\\7x+14=36-4x[/tex]
Now we can add 4x on both sides
[tex]7x+14+4x=36-4x+4x\\11x+14=36[/tex]
Next we subtract 14 from both sides
[tex]11x+14-14=36-14\\11x=22[/tex]
Finally we divide both sides by 11
[tex]\frac{11x}{11} =\frac{2}{11} \\x=2[/tex]
