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
kogti [31]
3 years ago
15

А Calculator Quadrilateral ABCD is inscribed in this circle. (2x - 40) 116 B. What is the measure of angle A? Enter your answer

in the box. ( Will Mark Brainliest if answered correctly).​

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

Answer:

x = 64°

∠A = 88°

∠C = 92°

Step-by-step explanation:

This is a cyclic quadrilateral, since every vertex of the quadrilateral touches the circumference of the circle.

The opposite angles in a cyclic quadrilateral add up to 180°

∠B is opposite to ∠D

⇒ ∠B + ∠D = 180

⇒ 116 + x = 180

⇒ x = 180 - 116

⇒ x = 64°

If x = 64°, then

⇒ ∠A = (2 x 64) - 40

⇒ ∠A = 88°

∠A is opposite to ∠C

⇒ ∠A + ∠C = 180

⇒ 88 + ∠C = 180

⇒ ∠C = 180 - 88

⇒ ∠C = 92°

You might be interested in
Helpppppppppppppppppppppppppp
Neporo4naja [7]
We rewrite the expression:
 ((m-4) / (m + 4)) * (1 / (m + 2))
 Then we do the multiplication of fractions:
 ((m-4) / (m + 4) (m + 2))
 answer:
 An equivalent expression is:
 ((m-4) / (m + 4) (m + 2))
 option 1

7 0
3 years ago
Read 2 more answers
Translate the following statement into an appropriate algebraic equation: The number of adults (a) in the classroom is five less
nlexa [21]
Adults equals 5 less than half the # of students 
A= 1/2 S -5
4 0
4 years ago
Terrance is making punch for his birthday party. For each guest that attends, Terrance needs 2 cups of cranberry juice.
Lelechka [254]

Step-by-step explanation:

I'm pretty sure it's 4. hope this helps

7 0
3 years ago
Read 2 more answers
Find the vertex and axis of symmetry for f(x)=2x^2-1
vfiekz [6]
<h3>Axis of symmetry is 0 and vertex is (0, -1)</h3>

<em><u>Solution:</u></em>

<em><u>Given is:</u></em>

f(x) = 2x^2 - 1

We have to find the vertex and axis of symmetry

<em><u>The general equation is given as:</u></em>

f(x) = ax^2 + bx + c

Comparing with given equation,

a = 2

b = 0

c = -1

<em><u>The axis of symmetry is given as:</u></em>

x = \frac{-b}{2a}

x = \frac{0}{2(2)}\\\\x = 0

Thus axis of symmetry is 0

The x coordinate of the vertex is the same

x coordinate of the vertex = 0

h = 0

The y coordinate of the vertex is:

k = f(h)

k = f(0)

f(0) = 2(0) - 1\\\\f(0) = 0 - 1\\\\f(0) = -1

Thus, y coordinate of the vertex is -1

Therefore, vertex is (0, -1)

3 0
3 years ago
The sum of three numbers is 110. The third number is 4 times the second. The first number is 10 less than the second. What are t
Ede4ka [16]

Answer:

This is a bit confusing for me but here we go.

1x110

10x11 and

i don't really know the third

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A, B and C form the vertices of a triangle. BC = 6.9cm and ∠ CBA = 137°. Given that the area of the triangle is 12.6cm^2, calcul
    13·1 answer
  • If y = x^2 and dx/dt = 3, what is dy/dt when x = -1
    8·1 answer
  • The measure of angle 4 is 45. If angle 4 is congruent to angle 1, what is the measure of angle 5?
    8·1 answer
  • 20x+5y=120<br> 10x+7.5y=80
    14·2 answers
  • How do I remember the customary units?
    11·1 answer
  • PLEASE HELP ME!!!!!!!!!!!!!!!
    9·1 answer
  • Which graph shows solution to which inequality
    11·1 answer
  • Help please!!
    10·2 answers
  • How many triangles can be constructed with angles measuring 10º, 80º, and 90º?
    12·1 answer
  • What does qwerty mean or what is it don't respond
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!