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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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Answer:

Step-by-step explanation:

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1) f(x) + g(x)

= 7√x + 4 + 2√x - 2

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Hope this helps!
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A line has a slope of 0 and passes through the point (10, 4). What is its equation in
MissTica

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Step-by-step explanation:

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a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32
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Answer:

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Step-by-step explanation:

THE ANSWER IS IN CENTS.

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You work 40 hours a week and make $25 an hour. Each paycheck, the police union deducts $50 for dues. You also pay $264 every pay
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Answer:

Step-by-step explanation:

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