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
Leokris [45]
3 years ago
5

Quadrilateral ABCD is inscribed in a circle with angle measures m∠A = (11x − 8)°, m∠B = (3x2 + 1)°, m∠C = (15x + 32)°, and m∠D =

(2x2 − 1)°. Are each of the following measures of the quadrilateral's angles? Select Yes or No for each statement.
m∠A = 135°
m∠B = 109°
m∠C = 227°
m∠D = 71°
Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

No for all of the 4 values

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is always 360°, so we have that:

m∠A + m∠B + m∠C + m∠D = 360

11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360

5x2 + 26x - 320 = 0

Solving the quadratic function using Bhaskara's formula, we have:

Delta = 26^2 + 4*5*320 = 7076

sqrt(Delta) = 84.12

x1 = (-26 + 84.12)/10 = 5.81

x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).

Now, finding the angles, we have:

m∠A = 11*5.81 - 8 = 55.91°

m∠B = 3*(5.81)^2 + 1 = 102.27­°

m∠C = 15*5.81 + 32 = 119.15°

m∠D = 2*(5.81)^2 - 1 = 66.51°

As all these values are different from the values shown, the answer is No for all of them.

You might be interested in
If BD = 8x - 27 and EC = 2x + 33, find BD.
KonstantinChe [14]
BD= 53 units
Good Luck! <3
4 0
3 years ago
Read 2 more answers
What does the magnitude of a vector represent?
nalin [4]

Answer:

A vector's magnitude represents its length, so your answer is C, the length of a vector.

Step-by-step explanation:

7 0
3 years ago
Please help....this is difficult for me to figure out..
Nitella [24]

Answer:

z would be 0.4 !

Step-by-step explanation:

Hope this helps :)))

6 0
3 years ago
Read 2 more answers
If line segment are you is considered the base of a parallelogram are STU what is the corresponding height of the parallelogram
Westkost [7]

Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.

answer:

Height = Area of parallelogram / base of parallelogram

Step-by-step explanation:

The corresponding height of the parallelogram can be calculated using the general equation below :

Height = Area of parallelogram / base of parallelogram

Kindly input the values you have into the relation to get the corresponding height of the parallelogram.

6 0
2 years ago
Patrick collected 192 seashells at the beach.He made five necklaces with an equal number of shells on each necklace.He used the
Goryan [66]

Answer:

I'm going to put the most shells possible on the necklaces this would be 38, 38x5=190, meaning that we have a remainder of 2.

2 shells would be on the magnet

6 0
2 years ago
Other questions:
  • What will be the radius of the pony’s path?
    7·2 answers
  • una tienda de ropa realiza un descuento de 5% por toda compra,si un pantalon sin descuento cuesta 420 pesos cuanto pagare por el
    14·1 answer
  • I need this problem to be simplified
    13·2 answers
  • Does anyone know how I should answer this
    10·1 answer
  • Which graph represents the function f (x) = StartFraction 5 minus 5 x squared Over x squared EndFraction?
    13·2 answers
  • 2s+4=5(−4−2s)2, s, plus, 4, equals, 5, left parenthesis, minus, 4, minus, 2, s, right parenthesis
    5·1 answer
  • Solve for the value of v: V+27=117
    11·2 answers
  • (02.01)Which translation will change figure ABC to figure A'B'C'?
    7·1 answer
  • Which expression is equivalent to 3/5x +3
    10·1 answer
  • The population of a city increases by 2.2% per year. If this year's population is 230,000, what will next year's population be,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!