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Yuliya22 [10]
3 years ago
10

Ray PT is the angle bisector of angle RPS. Find the measure of angle RPS.

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

Answer:

m∠RPS = 38°.

Step-by-step explanation:

It is given that ray PT is the angle bisector of angle RPS. It means PT divides the angle RPS in two equal parts.

m\angle RPT=m\angle TPS=19^{\circ}

Now, it is clear that

m\angle RPS=m\angle RPT+m\angle TPS

m\angle RPS=19^{\circ}+19^{\circ}

m\angle RPS=38^{\circ}

Therefore, the measure of angle RPS is 38°.

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in 2010 an enormous sinkhole suddenly appeared in the middle of a guatemalan neighborhood and swallowed a three story building a
Leokris [45]

Answer:

Step-by-step explanation:

Given that :

The enormous sinkhole that appeared in the middle of Guatemalan neighborhood in the year 2010  swallowed a three story building above it and the  sinkhole has an estimated depth of about 100 feet

How much material is needed to fill the sinkhole?

Then , the material needed to fill the sinkhole will be dependent on the volume of the sinkhole.

Determine what information is needed to answer the question.

The information that is needed to answer this question are:

the base area of the sinkhole will be required; &

the height should also be known

if the base area is determined then we can proceed to determine how much material is needed to be calculated.

Do you think your estimate is more likely to be too high or too low

No, the estimate is not likely to be too high or too low rather the estimate of the material required will be almost  equal to the volume of the sinkhole, but that does not implies that it will be exactly the same since the sinkhole is not uniform and regular in shape.

5 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
Allushta [10]

Answer:  proof below

<u>Step-by-step explanation:</u>

Use the Difference formula for sin:

  sin (A - B) = sin(A)·cos(B) - cos(A)·sin(B)

sin (180° - θ) = sin(180°)·cos(θ) - cos(180°)·sin(θ)

                    =       0  · cos(θ)    -      -1  · sin(θ)

                    =              0           -           -sin(θ)

                    =                         + sin(θ)

sin (180° - θ) = sin(θ)  \checkmark

8 0
3 years ago
Read 2 more answers
Cody is cooking pancakes. The recipe calls for 5 3/10 cups of flour. He accidentally put in 8 1/4 cups. How many extra cups did
Eddi Din [679]

Answer:

59/20 cups

Step-by-step explanation:

5 3/10

8 1/4

Common denimainator  is 40

5 3/10 = 5 12/40

8 1/4 = 8 10/40

Now we can subtract:

330/40-212/40=118/40

118/40= 59/20 cups

Sorry if I spelled some words wrong

3 0
3 years ago
Find the area of the figure
Kitty [74]

Answer:

38units²

Step-by-step explanation:

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got 2 cuz 5-3=x so x=2

8 0
3 years ago
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Name 2 same side interior angles
Leokris [45]

Answer:

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