All categories

3 years ago

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

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

Answer: $47\°$

Step-by-step explanation:

You need to analize the information provided in the exercise.

Observe the given figure.

You know that the line AC and and the line BD are parallel and they are cut by a transversal.

By definition, the pair of angles created by this intersection and are located inside the parallel lines and on opposite sides of the transversal, are called "Alternate Interior Angles".

Alternate Interior Angles are congruent, which means that they have equal measure.

Knowing this, you can identify that the angle "p" and the angle "n" are Alternate Interior Angles, therefore:

$m\angle p=m\angle n=47\°$

You might be interested in

If the original quantity is 14 and the new quantity is 22, which of these is the best estimate for the percent of change?

julsineya [31]

D 22-14=8 14-7=7 7 of 14=50% so i think that’s the best estimate

8 0

2 years ago

Gia bought a computer that was 20% off the regular price of $1,280. If a 9% sales tax was added to the cost of the computer, wha

garik1379 [7]

1280*.8=1024
1024*1.09=1116.16
Tax is the last thing added, savings before tax since

8 0

3 years ago

Read 2 more answers

PLEASE! Someone help me answer this and explain it

xenn [34]

Answer:

12.5

Step-by-step explanation:i did that problem before

3 0

3 years ago

An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of t

trasher [3.6K]

The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

<em><u>Solution:</u></em>

Given that exterior angle of triangle is 140 degrees

The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles

Given that adjacent angles are congruent

Let one of the non adjacent interior angles be "x"

x + x = 140

2x = 140

x = 70

So the two interior angles are 70 degrees and 70 degrees

Let us find the third interior angle

The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees

70 + 70 + third angle = 180

third angle = 180 - 70 - 70

third angle = 180 - 140

third angle = 40 degrees

Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

3 0

3 years ago

PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!

-BARSIC- [3]

First divide both sides by 12 so u get 5x -4.5 = 3. Now add 4.5 to both sides and u get 5x = 7.5. Now divide 7.5 by 5 and u get 1.5

6 0

3 years ago