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Andru [333]
2 years ago
13

3. What is the measure of angle HEK in this figure?95 55 85 150​

Mathematics
1 answer:
DIA [1.3K]2 years ago
7 0

Answer:

95 is the correct answer

Step-by-step explanation:

The initial or beginning side is H.  Look on the protractor and you will see the top number is 55 degrees.  That is where we start.  Now, go to line E, that is where we end.  The top number is 150.  To find <HEK, we need to subtract 55 from 150 to get 95.

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The average of six positive integers starting with a is equal to b. What is the average of five consecutive integers ending with
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The average of the five consecutive numbers ending with b in discuss when expressed in terms of a is; Choice D; a+3.

<h3>What is the average of five consecutive integers ending with b?</h3>

First, since it was given in the task content that the average of six positive consecutive odd integers starting with a is equal to b, it therefore follows that;

(a+a+2+a+4+a+6+a+8+a+10)/6 = b

6b=6a+30

b=a+5

Also, let the average of the consecutive intergers ending with b be denoted by; x.

(b+b-1+b-2+b-3+b-4)/5 = x

=(5b-10)/5

=b–2

The average, x=b – 2 (where b = a-5)

Ultimately, the value of the required average is; = a+5-2 = a+3.

Read more on average of integers;

brainly.com/question/24369824

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Answer:

22) RT ; angles 2 and 4 are alternate interior angles

23) RT ; angles 1 and 3 are alternate interior angles

24) TV; same-side interior angles (some classes called them consecutive interior angles)

25) RV; same-side interior angles (some classes call them consecutive interior angles)

Step-by-step explanation:

The transversal is the a "line" going through at least 2 others helping to form the angles in question.

22) The line segment going through two line segments that contain angles 2 and 4 is:

RT.

Angles 2 and 4 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.

23) The line segment going through at least two line segments that contain angles 1 and 3 is:

RT.

Angles 1 and 3 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.

The cool thing about 24 and 25 is that they give you the transversal in the name of the angle.

24) Angles TVR and VTS are being formed by the line segment TV and the parallel line segments that it intersects.  TV is the transversal.

Angles TVR and VTS are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of TV and the parallel lines it goes through.

25) Angles SRV and RVT are being formed by the line segment RV and the parallel line segments that it intersects.  RV is the transversal.

Angles SRV and RVT are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of RV and the parallel lines it goes through.

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3 years ago
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