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Kipish [7]
3 years ago
13

What is the surface area of this composite figure?

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

1260 inches squared

Step-by-step explanation:

Bottom: 24*6=144

Bottom front: 24*12=288

Bottom back: 24*12=288

Left side: 6*2=72

Right side: 6*12=72

Left top: 6*15=90

Right top: 6*15=90

Top front: (24*9)/2=216/2=108

Top back: (24*9)/2=216/2=108

144+288+288+72+72+90+90+108+108=1260

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<1 and <2 form a linear pair. If m<1= 4m<2, find the measure of each of the two angles.
ozzi

Answer:

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

5x/5 = 180/5

x = 36°

Therefore,

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
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Step-by-step explanation:

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