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diamong [38]
3 years ago
15

Find m(NMP) and m(MPO)

Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Since lines a and b are parallel, then

∠NMP and ∠MPQ are same side interior angles and are supplementary, thus

a + a - 20 = 180

2a - 20 = 180 ( add 20 to both sides )

2a = 200 ( divide both sides by 2 )

a = 100, hence

∠NMP = a = 100° and

∠MPQ = a - 20 = 100 - 20 = 80°

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SCORPION-xisa [38]

- The solution/answer is 10.

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3 years ago
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If the circumference is 31.4, what are the radius and the area?
jekas [21]

Answer:

radius = 5 units

area of a circle = 15.7units²

Step-by-step explanation:

given that the circumference of a circle = 31.4

radius = ?

recall that the formulae for finding the circumference of a circle  =  2πr

circumference of a circle  = 2 x 3.14 x r

31. 4 = 6.28r

divide both sides by the coefficient of r which is 6.28

31.4/6.28 = 6.28r/6.28

5 = r

radius = 5 units

therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units

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area of a circle = 3.14 x 25

area of a circle = 15.7units²

7 0
3 years ago
Claire makes hot coco with 2 cups of milk with 5 tablespoons of coco. How many tablespoons of coco would he need for 1 cup of mi
postnew [5]

Answer:

2.5

Step-by-step explanation:

5/2=2.5

half of 2 is 1 so for 1 cup of coco  has 2.5 tbs of coco.

6 0
4 years ago
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Lisa [10]
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7 0
3 years ago
Ill give brainliest please help with this algebra!!
creativ13 [48]

Answer:

Each of these equations solves as 1, because each one of them is an instance of the same expression being divided by itself.

This will <em>always</em> give you a value of 1, as long as the denominator does not end up with a zero value.

Take for instance the third question:

\frac{p^4}{p^4}\\= p^4 \times p^{-4}\\= p^{(4 - 4)}\\= p^0\\= 1

This stands true with all three questions.

HOWEVER

I say this assuming that the 5 following the first brackets in the first question is meant to be an exponent, and not a multiple.  Given that the norm is to make any numeric multiples precede the brackets, I assume it is an exponent. and we're good.

It's not using superscript though, which could mean that they want it multiplied by five instead of raised to the power of.

If that's case, we can solve it the same way we solved question 20.  If the bases are the same, then when multiplying or dividing the terms, you can simply add or subtract the exponents respectively:

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8 0
3 years ago
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