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scoundrel [369]
3 years ago
7

Given:  m∠p =47BD∥AC What is the m∠m? Put only the number. Do not label your answer.

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer: 43\°

Step-by-step explanation:

Observe the given figure.

You can identify that the measure of the angle "B" is:

m\angle B=90\°

Knowing this, you can conclude that the angle "p" and the angle "m" are Complementary angles, which means that the sum of their measures is 90 degrees. Then, you can write the following equation:

m\angle p+m\angle m=90\°   [Equation 1]

You know that:

m\angle p=47\°

Then you can substitute it into the [Equation 1] and then solve for m\angle m. Therefore, you get:

 47\°+m\angle m=90\°\\\\m\angle m=90\°-47\°\\\\m\angle m=43\°

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Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did
svetoff [14.1K]
I added a screenshot with the complete question

<u><em>Answer:</em></u>
Total miles = 2.5 miles

<u><em>Explanation:</em></u>
<u>1- While walking:</u>
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked \frac{20}{60} =  \frac{1}{3} of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
<u>Substitute with the givens to get the distance she covered while walking:</u>
Distance = 3 * \frac{1}{3} = 1 mile

<u>2- While running:</u>
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran \frac{15}{60} =  \frac{1}{4} of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
<u>Substitute with the givens to get the distance she covered while running:</u>
Distance = 6 * \frac{1}{4} = 1.5 miles

<u>3- getting the total mileage:</u>
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

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