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
VikaD [51]
3 years ago
11

Line AC is tangent to circle O at point C What is the measure of OAC?

Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees

Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90. 
You might be interested in
Can someone please answer this
ale4655 [162]

Answer:  3   3 1/2   1

            1/2   2 1/2  4 1/2

               4   1 1/2   2

3 0
3 years ago
A dinner plate has a diameter of 12 inches. The diameter of a salad plate is 2 inches less. What is the area of the salad plate
Anna007 [38]

Answer:

10 inches

Step-by-step explanation:

subtract the dinner plate by the 2 inches less

3 0
3 years ago
Read 2 more answers
What is one thing that you found interesting about future value and present value for compound interest? 100 words ^
brilliants [131]

Answer:

Compound interest is that which, once generated, is added to the capital, in order to expand the calculation base on which, in turn, new interests will be generated. Thus, in short, if the interest is, for example, 5 percent, said interest will be added to the initial capital, with which that 5% generated will be increasing, since it will be calculated on an increasingly large basis.

Compound interest is very important for financial investments, as it maximizes the results of said investments, even more so when compared to simple interest, in which the interest generated is not added to the initial capital.

6 0
3 years ago
Which matrix represents the solution to the system of equations below?
boyakko [2]

Answer:

The one that's include a rows 2 1 1 2

5 0
3 years ago
Find an equation of the circle having the given center and radius.<br> Center ( - 1, 1), radius 7
suter [353]

Answer:

(x+1)^2 + (y+1)^2 = 49

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x- -1)^2 + (y- -1)^2 = 7^2

Simplifying

(x+1)^2 + (y+1)^2 = 49

7 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the expression.<br> 39 + 3(4 + )
    15·1 answer
  • Why do you subtract exponents when dividing powers with the same base
    8·1 answer
  • alph and his brother are at a carnival. They separate from each other at the Ferris wheel at 1:00 PM, and they agree that they w
    7·1 answer
  • Please help I will give out brainliest
    6·2 answers
  • I’m just starting to watch the vampire diaries. SO TELL ME EVERYTHING I need to know btw I’m on the episode pilot. NO SPOILERS!
    11·1 answer
  • Solve the system by substitution. Check your solution. A minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12 a. (15, 15) c. (13, 12) b.
    14·2 answers
  • Please help!! FAST!!
    13·1 answer
  • Find the slope of the passing line through the points (-4,7) and (-9,4)
    6·2 answers
  • amelia is going to invest in an account paying on interest rate of 6.5% compounded daily? help me plz someone
    9·1 answer
  • Can someone please help me and explain how to do it
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!