Answer:
TU = 4.5units
Step-by-step explanation:
Since the pentagons are similar, hence the ratios of their similar sides will be equal to a constant.
Hence;
XY/ST = YZ/TU
Given the following
XY = 32
YZ = 36
ST = 4c + 2
TU = 5c + 2
Substitute into the expression as shown;
32/4c+2 = 36/5c+2
Cross multiply
36(4c+2) = 32(5c+2)
144c + 72 = 160c + 64
144c - 160c = 64 - 72
-16c = -8
c = -8/-16
c = 1/2
Recall that TU = 5c + 2
TU =5(1/2) + 2
TU = 2.5 + 2
TU = 4.5
Hence the length of TU is 4.5units
Answer:
65
Step-by-step explanation:
Answer:
$500
Step-by-step explanation:
let x = price of the dress before reductions
If the price is reduced by 60%, the price would be (100% - 60%) = 40%
Price after first reduction= 0.4x
Price after second reduction = 0.4(0.4x)
0.16x = $80
Divide both sides by 0.16
x = $500
113.4 because its the same as 567 divided by 5
Answer: 36 / 2 1/4
Step-by-step explanation:
From the question, we are informed that Jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. The expression that he can use to figure out the number of holes he will need to drill will be:
= 36 ÷ 2 1/4
From the expression we can then calculate the number of hours to drill. This will be:
= 36 / 2 1/4
= 36 / 9/4
= 36 × 4/9
= 16
He'll need to drill 16 holes
