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rewona [7]
2 years ago
7

What’s this answer ? will give ton of points!!!!!!!!!!

Mathematics
1 answer:
Ann [662]2 years ago
3 0

Answer:

268 cm^2

Step-by-step explanation:

Pink prism:

top: 2 cm * 2 cm = 4 cm^2

right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2

bottom: completely covered in connection to green prism

Total surface area of pink: 52 cm^2

Green prism:

bottom: 10 cm * 5 cm = 50 cm^2

front, back: 2 * 10 cm * 4 cm = 80 cm^2

right, left: 2 * 5 cm * 4 cm = 40 cm^2

top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2

Total surface area of green: 216 cm^2

Total surface area of composite solid:

52 cm^2 + 216 cm^2 = 268 cm^2

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Given: m ∠3 = m ∠4

To Prove: ∠1, ∠2 are supplementary .

Proof : m ∠3 = m ∠4    ( Given)                                              ------------(1)

m<2 + m< 3 = 180 degrees  ( <2 and <3 form a linear pair). ----------(2)

m< 4 = m<1                            (Vertical angles are equal)       -----------(3).

Substituting, m<4 =m<1 in (1), we get

m ∠3 = m ∠1.

Now, substituting m ∠3 = m ∠1 in (2), we get

m<2 + m< 1 = 180 degrees.

Sum of m <1 and m<2 is 180 degrees.

Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>


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2 years ago
Solve x + 18 &gt; 19.<br> I need help solving
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x + 18 > 19

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1 year ago
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