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tino4ka555 [31]
2 years ago
13

Given the isosceles trapezoid below, find AG. Show all the work

Mathematics
1 answer:
Dmitry [639]2 years ago
8 0

We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

40 - 24 = 16

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of GT and EF

\frac{16}{2} = 8

Finally, we can use the Pythagorean Theorem to find the length of AG:

AG^{2} + GT^{2} = AT^{2}

AG^{2} + 8^{2} = 10^{2}

AG^{2} + 64 = 100

AG^{2} = 36

AG = 6

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Answer:

Allen go to bed at <u>9:15 p.m</u>.

Step-by-step explanation:

Given:

Allen started his homework at 8:10 p.M. And worked for 45 minutes. Then he phoned a friend and talked for 20 minutes. He went to bed when he finished the call.

Now, to find the time Allen go to bed.

Allen started his homework at 8:10 p.m.

And worked for 45 minutes.

So, to get the time when he finished homework is by adding 45 minutes and the time when he started homework:

8.10+45

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Thus, he finished his homework at 8:55 p.m.

Then he phoned a friend and talked for 20 minutes and went to bed when he finished the call.

<em>As, 1 hour = 60 minutes.</em>

Now, to get the time when he go to bed by adding 20 minutes and the time when he finished homework:

8.55+20=9.15\ p.m.

Therefore, Allen go to bed at 9:15 p.m.

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Step-by-step explanation:

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