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
Step-by-step explanation:
Area of rectangle
l × b
12 × 6
= 72
area of actual figure
72-2×2
=68ft.
Answer:
distributive property
Step-by-step explanation:
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers the first number can be distributed to both of those numbers and multiplied by each of them separately then adding the two products together for the same result as multiplying the first number by the sum
Answer:
1 and 7 are congruent
2 and 5 are supplementary
4 and 6 are congruent
3 and 8 are supplementary
