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murzikaleks [220]
3 years ago
5

Help and explain

Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

The surface area of the composite figure is 1108 square inches.

Step-by-step explanation:

The surface area of the composite figure (A_{T}) is equal to the sum of external faces of the rectangular and triangular prisms, all measured in square inches:

A_{T} = 20\,in \times 12\,in + 2\times 5\,in \times 12\,in + 2\times 20\,in \times 5\,in  + 2\times 20\,in \times 11\,in + 2\times \frac{1}{2}\times 12\,in \times 9\,in

A_{T} = 1108\,in^{2}

The surface area of the composite figure is 1108 square inches.

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Find the value of x in the given statement. The diagram is not to scale.
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Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.

RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124

Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152

Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76

There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152


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Answer:

A

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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