Answer: 
Step-by-step explanation:
1. You have the following function given in the problem:

2. Then, to find
asked in the exercise, you only need to substitute
(which is the input value) into the given function.
3. Therefore, keeping the above on mind, you obtain that
is:




Answer:
18 square inches
Step-by-step explanation:
Surface Area of original prism: 54 square inches
Surface Area of similar prism:
1/3 x 54
=18 square inches
x = 4 and EF = 4 ⇒ 3rd answer
Step-by-step explanation:
If two triangles are congruent, then
1. Their corresponding sides are equal
2. Their corresponding angles are equal
3. Their areas and perimeters are equal
∵ △ ABC ≅ △ DEF
∴ AB ≅ DE
∴ BC ≅ EF
∴ AC ≅ DF
∵ BC = 4 x - 12
∵ EF = -3 x + 16
∵ BC = EF
∴ 4 x - 12 = -3 x + 16
Let us solve the equation to find x
∵ 4 x - 12 = -3 x + 16
- Add 3 x for both sides
∴ 7 x - 12 = 16
- Add 12 to both sides
∴ 7 x = 28
- Divide both sides by 7
∴ x = 4
Substitute the value of x in the expression of EF
∵ EF = -3 x + 16
∵ x = 4
∴ EF = -3(4) + 16 = -12 + 16
∴ EF = 4
x = 4 and EF = 4
Learn more:
You can learn more about congruence of Δs in brainly.com/question/3202836
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Answer: 3 054 in^2
Step-by-step explanation:
Sphere volume formula = 4/3 pi r^3
So... 4/3 pi 9^3
= 3 053.63 in^2