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:
B
Step-by-step explanation:
the reason this because vertically opposite angles the equal so it's also 72
Answer:
Step by step explaination:
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
Answer:
10=10
Step-by-step explanation:
