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3 years ago

The measure of an angle is 135 degrees. What is the measure of its supplementary angle ?

1 answer:

6 0

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.

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Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$

Thus:

$\sqrt{a^2+b^2}=c$

Option A:

$\sqrt{8^2+15^2}=17$ → 17 = 17 OK!

Option B:

$\sqrt{6^2+8^2} = 10$ → 10 ≠ 12 NO

Option C:

$\sqrt{9^2+11^2} = [tex]\sqrt{202}$ [/tex] → $\sqrt{202}$ ≠ 21 NO

Option D:

$\sqrt{4^2+13^2} = \sqrt{185}$ → $\sqrt{185}$ ≠ 16 NO

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3 years ago

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11111nata11111 [884]

Answer:

Step-by-step explanation:

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3 years ago

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mafiozo [28]

Step-by-step explanation:

sum was the first name of integral

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3 years ago

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PSYCHO15rus [73]

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3 years ago

Veronica has 7 yards of ribbon. Each bow requires 3/4 of a yard ribbon. How many bows will she be able to make with the ribbon s

Sonbull [250]

Answer && Step-by-step explanation:

7 yards == 4/4

by simple arithmetic remove 3/4 from 7 until you can no longer obtain 3/4 from it

7 => 6*1/4

6*1/4=>5*2/4

5*2/4=>4*3/4

4*3/4=>4

4=> 3*1/4

3*1/4=>2*2/4

2*2/4=>1*3/4

1*3/4=>1

1=>1/4

1/4 remains and 9 bows were made

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3 years ago