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DaniilM [7]
2 years ago
15

Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.

Mathematics
1 answer:
wlad13 [49]2 years ago
4 0

The given circle having two external tangents, according to circle

theorem, have the following values;

  • r = 3
  • m∠1  = 82°
  • m∠2 = 49°
  • x = 82°

<h3>How can the radial  length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

  • <u>r = 3</u>

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

  • <u>m∠1  = 82°</u>

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

  • <u>m∠2 = 49°</u>

The length of the chord subtended by the arc <em>x</em> is equal to the length of

the chord subtended by 89°, which gives;

  • <u>x = 82°</u>

Learn more about circle theorems applications here:

brainly.com/question/16879446

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Please help me I'm so bad at math and doing AFDA really doesn't help..
Mama L [17]

Answer:

4x²√4√6√x⁶√x

Step-by-step explanation:

4x²√(24x⁷)

The above expression can be simplified as follow:

4x²√(24x⁷)

Recall

√(MN) = √M × √N = √M√N

Thus,

4x²√(24x⁷) = 4x²√24√x⁷

But:

√24 = √(4×6) = √4√6

√x⁷ = √x⁶√x

Thus,

4x²√24√x⁷ = 4x²√4√6√x⁶√x

Therefore,

4x²√(24x⁷) = 4x²√4√6√x⁶√x

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2 years ago
Mark had an essay due on Friday. He worked on the essay for 1.5 hours on Thursday and 4.25 hours on Fridays. How many hours did
Vika [28.1K]

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Step-by-step explanation:

8 0
3 years ago
what property justifies this statement if segment AB is congruent to segment de and segment de is congruent to segment a b
irina [24]

Answer:

If segment AB is congruent to segment DE, then segment DE is congruent to segment AB.

This is the same as if a=b then b=a! which property does that sound like?

Step-by-step explanation:

4. 3x + 4=35, well 3x+4-4=35 -4 -> 3x= 35-

4, which property subtracts from both sides?

8. it's already proven! what else is left but to use it! A property is not something in need of proof, it's the very basic stuff we start off with! A conjuncture is still not proven only thought to be true. That leaves 2.

9. if i give u the answer to this one then you won't get much out of it! so either i give you the answer or you get it yourself, those are the conditions.

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so it must be implies!

But is it p implies q or is it q implies p.

Hmmmm...i wonder.. which way does the arrow point from the st to the 2nd.

12. The statement is P then Q Inverses is not P the Q Inverse is not Q converse is Q the P

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Did i put one condition on you to do it or two?

Indirect proof is a type of proof in which a statement to be proved is assumed false and if the assumption leads to an impossibility, then the statement assumed false has been proved to be true.

7 0
2 years ago
Question 3 of 5
satela [25.4K]

Answer: 8

72π=226.19

226.19=π3^2h

226.19=π9h

226.19=28.27h

226.19/28.27=h

8=h

I hope this is good enough:

6 0
3 years ago
Read 2 more answers
Charlie made the following table to record the height of each person in his family.
IRISSAK [1]

Answer:

4

Step-by-step explanation:

Since the question does not specify if you are rounding up or down, just round down to four from 4 1/6. 4 1/6 is closer to 4 than it is to 4 3/6 or 4 1/2.

3 0
1 year ago
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