Triangle ABC is similar to triangle TUV. What is the value of AC if TV is 9 feet. AB is 36 feet, and TU is 4 feet?

Step-by-step explanation:

Triangle ABC is similar to triangle TUV. This means that the ratio of the length of each side of ∆ABC to the length of the corresponding side of ∆ TUV is constant. Therefore,

AB/TU = BC/UV = AC/TV

Therefore,

36/4 = AC/9

Cross multiplying, it becomes

4 × AC = 9 × 36

4AC = 324

Dividing the left hand side and the right hand side of the equation by 4, it becomes

4AC/4 = 324/4

AC = 81 feet

i dont know i just need points

-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