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iren [92.7K]
3 years ago
13

Find the value of x. A. 74 B. 244 C. 52 D. 64

Mathematics
1 answer:
lana [24]3 years ago
3 0

Answer:

Step-by-step explanation:

The formula you need to solve for angle x is:

∠x = 1/2(large arc - small arc)

We have enough info to find what we need to solve for the arcs. 58° is an inscribed angle. The rays of the angle cut off an arc on the circle and that arc measure is twice the measure of the angle. So the smaller arc is 58 * 2 = 116. Since around the outside of the circle measures 360°, then the larger arc measures 360 - 116 = 244. So the larger arc is 244. Filling in the formula to solve for the angle x:

∠x = 1/2(244 - 116) and

∠x = 1/2(128) so

∠x = 64

D is your answer.

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Step-by-step explanation:

3 0
3 years ago
Giving brainliest, thanks in advance!!
bulgar [2K]
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What is the sum of the measures of the exterior angles of this triangle?
fgiga [73]

Answer:

360°

Step-by-step explanation:

We need only remember that the sum of the measures of the interior angles of a triangle is 180°.  Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.

With two of the interior angles now known, we can calculate the third, Angle A:  It is 180° less (51° +  68°), or 180° - 119°, or 61°.

That means that the measure of Angle B is 180° - 61° = 119°

Looking at the pair C and 112°, we identify the exterior angle as 112°.

Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.

Finally, looking at the pair 51° and (180° - 51°), or

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Then the sum of the exterior angles 129° and 119° and 112° is 360°.

6 0
3 years ago
Read 2 more answers
BRAINLESS
Fittoniya [83]

Answer:

B

Step-by-step explanation:

You see the long side is right on the x axis so the L point will be the same length from itd rotation. Its rotation will have the long side laying along the Y axis and making it (2, 6)

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3 years ago
A city population is is 421,906. Round the population to the nearest hundred thousand and to the nearest thousand
qwelly [4]
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hope this helps x
3 0
3 years ago
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