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algol [13]
2 years ago
10

If ABC=DEF and m <E= 2(m-15)° find m​

Mathematics
1 answer:
Lostsunrise [7]2 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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A membership to LA Fitness is on sale for $ 112 50. That represents
RSB [31]

Answer:

Step-by-step explanation:

let the original price be x

discount is 25%, .25x

discounted price x-.25x=.75x

112.50=.75x

x=150 was the membership selling before the discount

5 0
2 years ago
Question 2..plz help meee​
Art [367]

refer to the attachment

7 0
2 years ago
Can someone help me? And no, I don’t just want the answer. I literally need to know how to do it pls
elena-s [515]

Answer:

36

Step-by-step explanation:

The angle b is a right angle which is divided into 2. So, each angle would measure 45 degree. (90 / 2 = 45)

tan 45 = 1

\AD\ = 100 - 64 = 36

to find x , remember SOCAHTOA

tan would be used because we have the vale of the opposite angle and we want to find the value of the adjacent angle

Tan 45 = opposite / adjacent

1 = 36/x

x = 36

7 0
3 years ago
The Super Bowl half time show lasts 30 minutes. If the half time show is 1/7 of the total game time, how many hours is the Super
gtnhenbr [62]

Answer:

3 1/2 hours.

Step-by-step explanation:

If the Half Time show is one-seventh of the show and lasts for 30 minutes, we can multiply that by 7 to get the total amount of minutes.

30 x 7 = 210

To convert the number of minutes to hours, 210 can be divided by 60 to result in a total of 3.5, therefore, the Super Bowl lasts for 3 1/2 hours.

5 0
3 years ago
I am doing math and in it i have to find the answer to 3^12 ans 7^9 and when i ut it in the calculator it said 2.1445561e+13 and
grin007 [14]

Answer:

40,885,048

Step-by-step explanation:

first find 3^12 and then find 7^9.

3^12 = 531,441

7^9 = 40,353,607

Add these together and you'll get 40,885,048.

Welcome! Hope this helps.

7 0
3 years ago
Read 2 more answers
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