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
tino4ka555 [31]
4 years ago
9

Help heaven!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Degger [83]4 years ago
7 0

Answer:

A). ∠A = 106°

B). ∠A = 133°

C). ∠B = 140°

D). ∠A = 88°

E). ∠C = 62°

Step-by-step explanation:

If a quadrilateral is inscribed in a circle then all the vertices will lie on the circle. Inscribed quadrilateral theorem states that opposite angles of this quadrilateral will supplement each other.

A) By theorem ∠A + ∠C = 180

∠A = 180 - ∠C = 180 - 74 = 106°

B). ∠A + ∠C = 180

(4x+5) + (x+15) = 180

5x+20 = 180

5x = 160 ⇒ x = 32

Therefore ∠A = (4x+15) = (4×32+15) = 133°

C). ∠C + ∠D = 180°

x + (4x-20) = 180

5x - 20 = 180

5x = 200

x = 40

Therefore ∠B = (4x-20) = (4×40-20) = 160-20 = 140°

D). ∠D + 116 = 180

∠D = X = 180-116 = 64°

∠A = (2X -40) = 2×64 - 40 = 88°

E). ∠D + ∠B = 180°

(X+20) + 3X = 180

4X +20 = 180

4X = 160 ⇒ X = 40

And ∠A + ∠C = 180

∠A = 2X + 38 = 2×40 + 38 = 118°

Therefore ∠C = 180 - ∠A = 180 - 118 = 62°

Naddik [55]4 years ago
3 0
1. 148
2. 133
3. 140
4. 88
5. idk
You might be interested in
Free pointzzzzzzzzzzzzzzzzzzzzzzzzzzz
DiKsa [7]
WOWW LOL THNX THO teeeheee
4 0
3 years ago
Read 2 more answers
In a plan for area codes, the first digit could be any number from 3 through 8, the second digit was either 0 or 4, and the thir
dem82 [27]

Answer:

I think the answer is 108.

7 0
4 years ago
Read 2 more answers
X - 12 = -4<br> A. x= -8<br> B. X = 8<br> C. x = -16<br> D. x = 16
DerKrebs [107]

B

Step-by-step explanation:

x - 12 =  - 4

put \: like \: terms \: together\\ x =  - 4  + 12 \\  solve\\ x = 8

4 0
3 years ago
What is 86% of 950? *
muminat

Answer:86%of 950= 817

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Joe is saving money for his
tatyana61 [14]

Answer:

He will need to save $295

Step-by-step explanation:

he needs 450 and he has 155, so all you would do is subtract 155 from 450 and you get the rest he needs which is 295

6 0
2 years ago
Other questions:
  • (HELP ME FAST!!)
    13·2 answers
  • A circle with center (1, 2) passes through the point (0, 6). what is the equation of the circle
    15·2 answers
  • I don’t understand 13 or 14 can someone help me
    13·1 answer
  • Set of real numbers satisfying 2x=3
    12·1 answer
  • 0.82 times what =0.0082???
    13·1 answer
  • 12 people went to the circus together. 3 of the people are children and cost 3/10 less than the regular price. if the cost of ad
    11·1 answer
  • Can someone please help me with this?
    5·1 answer
  • What is the volume please answer and EXPLAIN YOUR answer
    8·1 answer
  • Aveterinarian uses the function f(t) =3.7t +21 to estimate a puppy's future weight in pounds as a function of time in months​
    8·1 answer
  • What is trigonometry​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!