X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer:
150 • r + 62 = 40
Step-by-step explanation:
Answer:
108x + 29
—————
180
Step-by-step explanation:
Answer:
22 m^2
Step-by-step explanation:
The area of the bottom rectangle is A = l*w
The length is 8 and width is 2
A = 8*2 =16
The area of the top rectangle is A = l*w
The length is 3 and width is 2
A = 3*2 =6
Adding the areas together
A = 16+6 = 22
