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lozanna [386]
3 years ago
5

Which expression is equivalent to 1/4m + 3/4m-3/8(m+1)?​

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

5/8m - 3/8

Step-by-step explanation:

1/4 m + 3/4 m - 3/8m - 3/8

to combine m’s, change 1/4 to 2/8. And 3/4 to 6/8.

2/8 m + 6/8m - 3/8 m - 3/8

2/8+ 6/8- 3/8= 5/8

5/8m - 3/8

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En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz
nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

4 0
3 years ago
There are 4 types of the questions on Mrs. Moore's English final exam. The percent of each type of the question is shown in the
Verdich [7]
Jesse, to answer this, we need to see the graph. I'd help if I could! You can message me if you post it! :D
7 0
3 years ago
Which equation gives the lines show on Graph y= 2x+4 <br> y= -1/2x-4<br> y=1/2x+4 <br> y=2x-4
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The answer is the second one y=1/2x+4
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2 years ago
Find an expression which represents the difference when (10x+6y) is subtracted from (6x-8y) in simplest terms
Tema [17]

Answer:

4x+2y

Step-by-step explanation:

3 0
2 years ago
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Expand and simplify<br> 3(4a - 5b) + 2(2a - 3b)
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Answer:

a = 5/2

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I hope it correct

Step-by-step explanation:

Thank you

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2 years ago
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