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WARRIOR [948]
3 years ago
11

The volume of the prism is 81 m3.

Mathematics
2 answers:
Citrus2011 [14]3 years ago
6 0

Answer:

27 m^3

Step-by-step explanation:

kvasek [131]3 years ago
4 0

Answer:

27 m

Step-By-Step Explanation:

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In the diagram below, determine the value of $x$: [asy] size(6.5cm); pair cis(real magni, real argu) { return (magni*cos(argu*pi
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55 degrees

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There are 5 subjects each school day. Each subject is 45 minutes long. Lunch and recess are 35 minutes long. How long is the sch
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Answer:

4 hours and 33 minutes

Step-by-step explanation:

Before I answer, I was confused if recess and lunch are 35 minutes in total or 35 minutes each. My answer is if they are 35 minutes combined. If that's wrong, you can just add 35 minutes to my answer.

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Find the measures of the numbered angles in the isosceles trapezoid.<br> I need help ASP
Novay_Z [31]

Answer:

  ∠1 = 50°

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Step-by-step explanation:

In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:

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The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.

  ∠2 = 180° -∠1 = 180° -50° = 130°

We already know angle 3 is congruent to this.

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_____

<em>Additional comment</em>

It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.

Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.

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2 years ago
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