Can someone please help me out with the last one
ASAP I WILL GIVE OUT

Answers:

You may need to leave off the "square units" portion.

Explanation:

For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.

L = 3x

W = x+5

The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.

P = 2(L+W)

2(L+W) = P

2(3x+x+5) = 66

2(4x+5) = 66

8x+10 = 66

8x = 66-10

8x = 56

x = 56/8

x = 7

Now that we know x, we can find the area of the rectangles.

As you probably can guess, the shaded region is the difference of the two areas.

A = area of larger rectangle

A = (length)*(width)

A = (3x)*(x+5)

A = (3*7)*(7+5)

A = 252

B = area of smaller rectangle

B = (x+3)*(x+2)

B = (7+3)*(7+2)

B = 90

C = area of shaded region

C = A - B

C = 252 - 90

C = 162 square units is the area of the shaded region.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!