What is the Value of X? Enter your answer in the box. Look at picture for the problem .

x = 7

Step-by-step explanation:

Since we have the two parallel lines we can use the Triangle Proportionality Theorem.

We can set this up in the way I put in the photo below. You will want to put one side over the other, and follow the exact pattern again.

I chose:

You will then want to cross multiply, but you will want to distribute the 5 to 2x + 10.

So...

Now that we have distributed, we can cross multiply the other side.

We can set them equal to each other now.

Subtract 50 from both sides.

Divide.

x = 7

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3