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
Sunny_sXe [5.5K]
3 years ago
9

HELP NEED NOW, WILL GIVE BRAINLIEST: The difference of measures between the arcs subtended by chord AB is 160°. Line l is tangen

t to the circle at point A. Find the measure of the angle between the tangent l and secant AB.

Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

  50°

Step-by-step explanation:

As usual, the diagram is not drawn to scale.

The chord divides the circle into two arcs that have a sum of 360°. If we let "a" represent the measure of the smaller arc, then we have ...

  a + (a+160°) = 360°

  2a = 200° . . . . . . . . . . . subtract 160°

  a = 100°

The measure of the angle at A is 1/2 the measure of the subtended arc:

  acute ∠A = a/2 = (1/2)·100° = 50°

_____

<em>Comment on this geometry</em>

Consider a different inscribed angle, one with vertex V on the circle and subtending the same short arc subtended by chord AB. Then you know that the angle at V is half the measure of arc AB. This is still true as point V approaches (and becomes) point A on the circle. When V becomes A, segment VA becomes tangent line <em>l</em>, and you have the geometry shown here.

You might be interested in
X=1/16y^2 the directrix of the parabola is
yan [13]
To solve this problem you must apply the proccedure shown below:

 1. You have the following equation of a parabola, given in the problem above:

 x<span>=1/16y^2

 2. Then, based on the graph attached, you have:

 p=y^2/4x
 p=8^2/(4)(4)
 p=64/16
 p=4

 3. The directrix is:

 directrix=h-p
 directrix=0-4
 directrix=-4

 The answer is:-4</span>

3 0
3 years ago
Dominic invests £1000 in a bank account which has a simple interest rate of 4% per annum. He would like to work out how much mon
mestny [16]

Answer:

ooytot

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the estimated answer to 8 x 7 divided by 0.5
Lelu [443]

Answer:

112

Step-by-step explanation:

8 x 7 = 56

56 divided by 0.5 is 112

3 0
3 years ago
Read 2 more answers
I need your Help, please!<br> THX:)
USPshnik [31]
450 miles
1 in. Per 60 miles
460/60 = 7.5 inches
7 0
2 years ago
Read 2 more answers
Please help this is kinda hard for me
aleksklad [387]
The answer is:

110in²

Hope this Helps!.







8 0
3 years ago
Read 2 more answers
Other questions:
  • Veronica got a 5/25 balloon mortgage and her initial payments were $995. She decided to refinance her balloon payment with a 30-
    12·2 answers
  • Write words to match expression (23+7)-12
    10·1 answer
  • What is the product?
    13·1 answer
  • Find two consecutive integers whose sum is -47
    12·1 answer
  • Winona has 4 quarters and 1 nickel. Which does not represent the value of 4 quarters and 1 nickel?
    12·1 answer
  • 4.5 h x 3 1/5 miles per hour =
    12·1 answer
  • If 100% of a number is 200, what is 90% of the number?
    12·2 answers
  • Hi! I need help with this:
    14·1 answer
  • HELP ME I dont get ut
    11·1 answer
  • Find the area of the triangle.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!