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Answer:
The length of the sides is <u>7 In</u>.
Step-by-step explanation:
Given:
A cube has a surface area of 294 sq. In.
Now, to find the sides.
Let the side be
Putting the formula of area to get the length of side:
<em>Dividing both sides by 6 we get:</em>
<em>Using square root on both sides we get:</em>
Side = 7 In.
Therefore, the length of the sides is <u>7 In</u>.
The angles that form similarity are those that are vertically opposite and 2 pairs that are equal because the for a Z formation.
Since <LPM = <ONM then
Cross multiply
12*(5x - 10) = 16*(4x - 9) Remove the brackets on both sides.
60x - 120 = 64x - 144 Subtract 60x from both sides.
- 120 = 64x - 60x - 144
-120 = 4x - 144 Add 144 to both sides.
-120 + 144 = 4x
24 = 4x Divide by 4
24/4 = x
x = 6