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sleet_krkn [62]
3 years ago
15

The other hint is to find the area of each face. PLEASE PLEASE PLEASE LLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PL

EASE! I’m asking from the deep part of heart! Please answer ASAP! I don’t have that much time. Thank you in advance.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

<em>584 square inches</em>

Step-by-step explanation:

<em>~ This hint does have meaning. Let us find the area of each surface through multiplication of each figures dimensions ~</em>

1. We should consider the first surface with dimensions 4 by 10 inches. It would be that the area of the surface ⇒ 4 * 10 = 40 inches^2, and the opposite side would be 40 inches as well, knowing that in this rectangular prism opposite surfaces are congruent.

2. Now we can consider a second surface with dimensions 18 by 4 inches. The area of this surface is ⇒ 18 * 4 = 72 inches^2, and the opposite side to this surface is 72 inches as well.

3. We now have the last surface left to consider, having dimensions 10 by 18 inches, area being ⇒ 18 * 10 = 180 inches^2, the opposite side having the same area.

4. So if we are to find the area of the figure, it would be computed through the following expression: 40 * 2 + 72 * 2 + 180 * 2, which can be simplified as such: 80 + 144 + 360 = <em>Answer: 584 square inches</em>

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In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers: 
x = 7 and y = 6

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Step-by-step explanation:

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