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
AlexFokin [52]
4 years ago
8

PQ is tangent to the circle at C. In the circle, m (The figure is not drawn to scale.)

Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

65°

Step-by-step explanation:

From the figure we can see a circle.

It is given that, measure of arc AD = 80°  therefore m<ACD = 80/2 = 40°

Also m<D = 75°

<u>To find the measure of <DCQ</u>

We know that, an angle made by a tangent and chord is equal to the angle made by the angle made by the chord on other side of the circle.

Here m<DCQ = m<CAD

By using angle sum property,

m<CAD + m<ACD + m<D = 180

m<CAD + 40 + 75 = 180

m<CAD + 115 = 180

m<CAD = 180 - 115 = 65°

Therefore m<DCQ = m< CAD = 65°

The correct answer is third option.

You might be interested in
Amy owns her own business as a landscaper of homes and office buildings. On average, maintaining a homeowners yard takes 2 hours
Mila [183]
The office building cliant
5 0
4 years ago
If earth equals 120 pounds and Venus equals 109.2 pounds. Write a proportion relating the weights of earth=90pounds, what does.
Cerrena [4.2K]
I have no clue what this answer is but I hope you find it out
4 0
3 years ago
mrs. henein is purchasing cupcakes for her homeroom class. of each cupcake costs $2.25 and she has 31 students in her homeroom c
Luda [366]

Answer:

$69.75

Step-by-step explanation:

Multiply $2.25 by 31 students

5 0
3 years ago
Read 2 more answers
Charlie runs 11 miles in 95 minutes. How many miles does he run per minute?
Viktor [21]

Answer: 5000000000

Step-by-step explanation: i just know

8 0
2 years ago
Read 2 more answers
Charles has $1600 dollars in his account and makes automatic $400
kipiarov [429]
1600(-400)= f is the y axis and -400 because its taking money from his account
3 0
3 years ago
Other questions:
  • Name the property shown by each statement : 3+(x+4) = (x+4)+3
    14·2 answers
  • Hanna charges an hourly babysitting fee of 6$ for two children,m 7$ for 3 children, and $8 for four or five children.
    8·1 answer
  • Factor the gcf -5k^2+20k-30
    15·1 answer
  • What are the equations &amp; answer to these 2 problems ?
    8·1 answer
  • Find (f-g)(x) where f(x) = 2x^2+5x - 8 , g(x) = -x^2 +6x
    12·1 answer
  • What is the simplified form of THE SQUARE ROOT of 48n^9 ?
    15·1 answer
  • Which ordered pair is a solution of the equation? − 3 x + 4 y = 1 4 −3x+4y=14 Choose 1 answer:
    7·1 answer
  • mrs tart takes a survey she discovers 60% of her students prefer using pens over pencils in class. if 12 students in Mrs. Tart c
    12·2 answers
  • Keiva made $96 in necklace sales and half that amount in bracelet sales. How much money did Keiva make in necklace and bracelet
    6·1 answer
  • What is 6/5 ÷(-2)<br><br>help me...​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!