20 points please help - geomtry

What is the value of x?

Enter your answer in the box.
x =

x = 7 units

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

   5 cm                 3 cm

=

(40 + 5) cm      (3 + 2x + 10) cm

This simplifies to:

  5             3

=

  45       2x + 13

Solve for x.  Cross-multiplying, we get:

10x + 65 = 135, or x = 7

So x = 7 units.

y=mx+b

step-by-step explanation:

m slope, b y-intercept

-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