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Vaselesa [24]
3 years ago
11

Please Answer full question below thanks

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

45*

Step-by-step explanation:

180-115=65

65=angle 2

180-110=70

70=angle 1

70+65=135

180-135=45

45=angle 7

angle 7 and 6 are vertical angles so angle 6=45

angle 6 and angle 5 are an example of alternate interior angles soo

angle 5=45*

Hope I helped!

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The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium.

<h3>Can this atrium be built in the rectangular plot of land?</h3>

The atrium with the <em>maximum allowable</em> radius (<em>R</em>), in feet, is represented in the image attached. The <em>real</em> atrium is possible if and only if the <em>real</em> radius (<em>r</em>) is less than the maximum allowable radius and therefore, the <em>real</em> volume (<em>V</em>), in cubic feet, must be less than than <em>maximum possible</em> volume (<em>V'</em>), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

<em>V' =</em> (8 · π / 3) · (45 ft)³

<em>V' ≈</em> 763407.015 ft³

The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium. \blacksquare

To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/13338592

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2 years ago
Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the num
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H(x)=5x+15+4x+20

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Identify the vertex, the axis of syn
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Good evening ,

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Vertex (-4 , 0)

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Step-by-step explanation:

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One side of a rectangle is parallel to the x-axis. One vertex of the rectangle is located at (5,2) and another vertex at (1,4).
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Answer:

(1,2) and (5,4)

Step-by-step explanation:

Hello There!

I had made a graph to make it easier to understand.

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