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algol [13]
3 years ago
10

If ABC=DEF and m <E= 2(m-15)° find m​

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
<h3>Answer:  m = 25</h3>

====================================================

Work Shown:

Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.

Angle B is shown to be 20 degrees, so,

angle E = angle B

2(m-15) = 20

m-15 = 20/2

m-15 = 10

m = 10+15

m = 25

------------------

A slightly alternative way to solve:

2(m-15) = 20

2m-30 = 20

2m = 20+30

2m = 50

m = 50/2

m = 25

------------------

Checking the answer:

2(m-15) = 20

2(25-15) = 20

2(10) = 20

20 = 20

We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.

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Step-by-step explanation:

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Hope this helps!

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enot [183]

Answer:

30.7 ft

Step-by-step explanation:

<em>An equilateral triangle with area 43.5 has a height of 8.68 not 8.5</em>

<em>I will do the problem as written even though it is not a possible equilateral triangle</em>

<em>---------------------------------------------</em>

a = (1/2)bh

43.5 = (1/2)b(8.5)

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-----------------------

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p = 30.7058823528

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