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azamat
3 years ago
7

Find the volume of the prism.CmCm

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0
V or rectangular prism=LWH
doesn't matter which, multiplication is commutative

3/2 times 5/4 times 7/3=(3*5*7)/(2*4*3)=105/24=4 and 9/25 cm^3
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If mZBAC = (7x + 1) º and<br> mZBCA = (52 + 9) . what is the<br> measure of the vertex angle?
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<h3>Answer:  122 degrees</h3>

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Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

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Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

  • angle A = 7x+1 = 7*4+1 = 28+1 = 29
  • angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

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The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

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