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
ser-zykov [4K]
3 years ago
5

Please answer this question now

Mathematics
1 answer:
inna [77]3 years ago
5 0

Answer:

m∠C = 102°

Step-by-step explanation:

This is is a cyclic quadrilateral

• The sum of opposite angles in a cyclic quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

If you look at the above diagram properly, you will notice there are are angles outside the circle. We refer to this an exterior or external angles in a cyclic quadrilateral

• Note that m∠B is Opposite the exterior angle m∠CDA

Hence,

m∠CDA = 2 × m∠B

m∠CDA = 2 × 100°

m∠CDA = 200°

• m∠CDA = m∠CD + m∠DA

m∠DA = m∠CDA - m∠CD

m∠DA = 200° - 116°

m∠DA = 84°

• Another external angle we need to find is m∠DAB

m∠DAB = m∠DA + m∠AB

We know that m∠DA = 84°, therefore,

m∠DAB = 84° + 120°

m∠DAB = 204°

• The final step is to solve for m∠C

m∠DAB is Opposite m∠C

Hence

m∠C = 1/2 × m∠DAB

m∠C = 1/2 × 204

m∠C = 102°

You might be interested in
A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those su
Alik [6]

Answer:

1,135 people

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

Step-by-step explanation:

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

8 0
3 years ago
What is the area of circle with a radius of 13 milimeters? use 3.14 for pi
MrRissso [65]

Answer:

530.66 mm²

5.3066 cm²

Step-by-step explanation:

A = π·r²

= 3.14×(13mm)²

= 3.14×169mm²

= 530.66 mm²

= 5.3066 cm²

8 0
3 years ago
Read 2 more answers
Suppose a + b = 0.
Digiron [165]
I'm pretty sure that it's b. That's assuming that you find the negative of b^2 and not the square of negative b.

5 0
3 years ago
There are 69 cards in a card game deck. How many cards in 7 decks?
nevsk [136]

Answer:

69×7=60×7+9×7 and if 10×7=70 then 6×70=420 and 9×7=70-7=63

7 0
2 years ago
Help please I need help
liberstina [14]

Answer:

15/8

Step-by-step explanation:

Opp/Adj of angle x means Tan x

that would be 15/8

5 0
3 years ago
Other questions:
  • 4.07, 4.070, 4.70, 4.0700 what value is not equivalent.
    13·2 answers
  • 5y=85 in simplest form
    5·2 answers
  • What is the unit price if a dozen rolls cost 3.99?
    7·1 answer
  • Find the value of x in the following system of equations:
    9·1 answer
  • List the sides in ΔEFG in order from smallest to largest. Picture includes possible solutions
    13·1 answer
  • Anyone wanna attempt to help me
    13·1 answer
  • Please help Help !!!!!!!
    6·2 answers
  • What is equivalent to (9f + 12)*4)
    11·1 answer
  • Solve the equation.
    15·2 answers
  • Which of the following rational functions is graphed below?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!