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
Evaluate this expression for the given value of the variable 4 (d+7);d=-2
Paha777 [63]

Exact Form:

d

=

−

7

−

√

47

2

,

−

7

+

√

47

2

d

=

-

7

-

47

2

,

-

7

+

47

2

Decimal Form:

d

=

−

0.07217269

…

,

−

6.92782730

…

6 0
2 years ago
Read 2 more answers
Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?
NISA [10]

Answer:

3mph

Step-by-step explanation:

his speed per hour will be 3 miles per hour

6 0
2 years ago
HELP!!!!PLS!!
chubhunter [2.5K]

Answer:

12 units

Step-by-step explanation:

(-7,-6)

if you reflect it over the x-axis then the second number would be changing

-6 the opposite is 6

(-7, 6)

from -6 to 6 is 12 jumps

12 units is the distance from the original point

4 0
3 years ago
Please help asap!! What is the measure of angle A?
ozzi

Answer:

65

Step-by-step explanation:

because it is vertically opposite angles

3 0
2 years ago
How many times should you divide by 10 to divide a number by 1000? Explain.
Elena-2011 [213]

Answer:

yassssssssssssssssssssssssssssssssssssssssssssss ewasrbesuriueshds

5 0
2 years ago
Other questions:
  • The hypotenuse of a right triangle is 10m long. the longer leg is 2m longer than the shorter leg. find the side lengths of the t
    14·1 answer
  • Anyone know how to do these and explain so I can do the rest lol.
    12·2 answers
  • Jayden earned some money doing odd jobs last summer and put it in a savings account that earns 12% interest compounded monthly.
    5·1 answer
  • Liliana used for dark power crystals to race 14 zombie soldiers she wants to know if she can raise with dark power crystals how
    13·2 answers
  • T/2+2=4 two step equations
    8·1 answer
  • What is the answer for x
    5·1 answer
  • What is the absolute vaulue of 5
    14·2 answers
  • Helpp!!!!!!!!!!!!!!!!!....
    15·1 answer
  • What is the PE of an object that is 15kg that is 5.0 M above the ground?
    10·1 answer
  • Hamza buys a car for £900 and sells it for £1,280. Write the sale price as a percentage of the original price. Give your answer
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!