1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
D says reflection across y=x please help
antoniya [11.8K]
The answer should be A.
7 0
3 years ago
Please help!!!
kifflom [539]

Answer: If I am correct, I do believe that A is equal to F, meaning that the angle of A, which is 100°, is also the angle of F.

Step-by-step explanation:

Sorry if I am wrong I'm new at this.

8 0
3 years ago
Read 2 more answers
The prime factor decomposition of 2021 is 43 × 47. What is the value of 53 × 57 ?
Goryan [66]

Answer:

Step-by-step explanation:

3021

3 0
2 years ago
2 + 3x²y - 1⁄2y + y - 1
Svet_ta [14]

Answer:

3x²y+0.5y+1

Step-by-step explanation:

2+3x²y -0.5y+y -1

2 and -1 is 1

-0.5y and +y is +0.5y so the answer is...

4 0
3 years ago
Idk if this is correct or not !!!!!!!! WILL MARK BRIANLIEST !!!!!!!! PLEASE HELP !!!!!!!!!!!!!!!
andrew-mc [135]

Answer:

yes i took this test thats correct ! brainliest please :)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP. WILL GIVE BRAINLIEST<br> Simplify 7(A - 6).<br> A - 6<br> 7A - 42<br> 7A - 6
    6·2 answers
  • Hi I need help this is the question I will wait a while and I will thank you even if you wrong c:
    8·2 answers
  • Jane and Ken share some money in the ratio of 5:3
    11·2 answers
  • Identify the expression for calculating the mean of a binomial distribution
    10·1 answer
  • Hello! Some assistance with this question would be really helpful (:
    13·1 answer
  • True or false. the function is the product of 400 and a factor that does not depend on the initial number of visitors
    12·2 answers
  • Which of the following is parallel to the line y=2/3x+5
    11·1 answer
  • I need help with this Khan plz
    8·1 answer
  • 0<br> 100%<br> Which expression is equivalent to (-11x2 +1.4x-3) + (4x2-2.7x+8)
    14·1 answer
  • Sandra saves 8% of her salary for retirement. This year her salary was $2,000 more than in the previous
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!