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
Ymorist [56]
2 years ago
5

PLEASE HELP WILL MARK BRAINLIEST!!

Mathematics
1 answer:
noname [10]2 years ago
5 0

Answer:

m∠A = 91°

m∠B = 146°

m∠C = 89°

m∠D = 34°

Step-by-step explanation:

  • If the four vertices of a quadrilateral lie on the edge of a circle, then this quadrilateral is called cyclic quadrilateral
  • In the cyclic quadrilateral each two opposite angles are supplementary (means the sum of their measures is 180°)
  • The sum of the measures of the interior angles of any quadrilateral is 360°

In quadrilateral ABCD

∵ A, B, C, And D lie on the circumference of the circle

∴ ABCD is a cyclic quadrilateral

∴ The sum of the measures of each opposite angles is 180°

∵ ∠A and ∠C are opposite angle in the cyclic quadrilateral ABCD

∴ m∠A + m∠C = 180°

∵ m∠A = (2x + 3)°

∵ m∠C = (2x + 1)°

- Add them and equate the answer by 180

∴ (2x + 3) + (2x + 1) = 180

- Add the like terms in the left hand side

∴ 4x + 4 = 180

- Subtract 4 from both sides

∴ 4x = 176

- Divide both sides by 4

∴ x = 44

Substitute the value of x in the expressions of angle A, C, D

∵ m∠A = 2(44) + 3 = 88 + 3

∴ m∠A = 91°

∵ m∠C = 2(44) + 1 = 88 + 1

∴ m∠C = 89°

∵ m∠D = x - 10

∴ m∠D = 44 - 10

∴ m∠D = 34°

- ∠B and ∠D are opposite angles in the cyclic quadrilateral ABCD

∴ m∠B + m∠D = 180°

∴ m∠B + 34 = 180

- Subtract 34 from both sides

∴ m∠B = 146°

You might be interested in
Have the conditions for inference been met?
alekssr [168]

Answer: the answer is A

Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)

youre welcome

5 0
2 years ago
Start time 6:57pm elasped time 47 min
Talja [164]
7:44 pm would be correct
3 0
3 years ago
Heather had $89.50 in a bank account. She withdrew $10.25. What was her new balance?
dem82 [27]

Answer:

79.25

Step-by-step explanation:

7 0
3 years ago
There are 75 boys in the sixth grade. The ratio of girls to boys is 7 to 5. How many girls are there in sixth grade?
kolbaska11 [484]
There are 105 in 6th grade because there are 75 boys right? So it said the ratio of girls is 7 and the ratio of boys is 5 so I divided 75 to 5 = 15 and I multiply 7 to 15 and got 105 girls.
8 0
3 years ago
Your friend says that the absolute value equation | 3x+8 |-9=-5 has no solution because the constant
sineoko [7]

Answer:

Incorrect

Step-by-step explanation:

We are given the equation:

\displaystyle \large{|3x+8|-9=-5}

Add both sides by 9.

\displaystyle \large{|3x+8|-9 + 9=-5 + 9} \\ \displaystyle \large{|3x+8|=4}

When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.

\displaystyle \large{ |ax + b|  = c}

If c ≥ 0, the equation has solutions.

If c < 0, the equation does not have solutions.

Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.

From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.

Hence, the equation does have a solution!

3 0
2 years ago
Other questions:
  • What does the pythagoras famous theorem involve
    7·1 answer
  • “”A tower has a revolving restaurant 840 feet above the ground. The restaurant makes a complete
    12·2 answers
  • Rewrite in polar form x^2 + y^2 - 6y - 8 = 0
    14·2 answers
  • What is the reciprocal of seven
    15·2 answers
  • The snowfall data for Resort A are close to symmetric when they are shown in a box plot. The snowfall data for Resort B are not
    10·2 answers
  • the speed of light is approximately 3 x 10 to the 8th power meters per second, while the speed of sound is approximately 3.4 met
    5·1 answer
  • Use signed numbers to solve.
    6·1 answer
  • If the vine continues to grow at this rate, it will be. Inches long at the end of 5 weeks
    8·2 answers
  • A plane makes a return journey across the Atlantic Ocean, a distance
    10·1 answer
  • Here all the other ones .
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!