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
Svetllana [295]
3 years ago
12

AD is a diameter of circle ABCDE . Angle BAC=22° & angle ADC=60°. AE and ED are parallel lines. Find the values of w, x,y,an

d z

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

Answer:

x = 22°

w = 30°

y = 30°

z = 52°

Step-by-step explanation:

From ΔACD,

AD is the diameter and ∠ACD is the angle subtended by the diameter.

Therefore, m∠ACD = 90°

By triangle sum theorem,

m∠DAC + m∠ACD + m∠CDA = 180°

w° + 90° + 60° = 180°

w = 180 - 150

w = 30°

AB║ED and AD is a transversal line.

Therefore, m∠BAD = m∠ADE

(w + 22)° = z°

30 + 22 = z

z = 52°

Since, ∠CEB and ∠BAC are the inscribed angles subtended by the same arc BC,

Therefore, m∠CEB = m∠BAC

x = 22°

Similarly, ∠CED and ∠DAC are the inscribed angles subtended by the same arc CD,

m∠CED = m∠DAC = 30°

y = 30°

You might be interested in
Solve the quadratic equation for x. What is one of the roots? (x − 5)2 = 9
Sonja [21]

Answer:

x=8, x=2

Step-by-step explanation:

(x-5)^2=9 Solve by completing the square

Find square root of both sides

|x-5|=3

x=8, x=2

7 0
3 years ago
Read 2 more answers
Please Answer this Correctly For Brainiest!
Reika [66]

Answer:

78%

Step-by-step explanation:

There are 18 games in total. 14 of them have 77 - 92 points scored in them. Divide 14 by 18 to get approximately .7778, then multiply by 100 to get approximately 77.7778, which can then be rounded to 78%.

6 0
3 years ago
Read 2 more answers
Please I need help <br><br><br> What is X
3241004551 [841]
180=(3x+25)+2x. Soooooo X=31
3 0
3 years ago
The legs of a isosceles triangle are 0.3 foot less then twice the base . The perimeter of the triangle is 4.9 feet .
kicyunya [14]
<h2>Greetings!</h2>

Answer:

The legs are 1.9 feet long

And the base is 1.1 feet long.

Step-by-step explanation:

Firstly, you need to find the value of x.

You need to add all the sides together:

2x - 0.3 + 2x - 0.3 + x

Simplified =

5x - 0.6

And this equals 4.9:

5x - 0.6 = 4.9

Next, you need to move the -0.6 over to the other side, making sure to make it a positive:

5x = 4.9 + 0.6

5x = 5.5

Now divide each side by 5:

\frac{5x}{5} = \frac{5.5}{5}

x = 1.1


As the image is unclear of what side you are finding the length of:

2x - 0.3 = 1.9 feet long

And the base is 1.1 feet long.


<h2>Hope this helps!</h2>
4 0
3 years ago
Read 2 more answers
A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (
katovenus [111]

Answer:

C

Step-by-step explanation:

3y - 5x = 15   ... A

y = 5/3 * X +15  .... slope 3/5 , y intercept 15

6y - 10x =30

(6y - 10x) /2 = 30 / 2

3y - 5x = 15 ... B

y = 5/3 * x + 15 ..... slope 3/5 , y intercept 15

∴ Answer is C

7 0
3 years ago
Read 2 more answers
Other questions:
  • the squirrel are rather smart. they realize that they can carry less tan their maxium loads. how many differents ways could the
    13·1 answer
  • Plz help me with this
    10·1 answer
  • 4200 fans increased by 0.5%
    10·1 answer
  • Plzzzzzzzzzzzzzzzz asap help
    11·1 answer
  • What is factor form x^2-10x+25 show work
    14·1 answer
  • -15X - 40 = 23 - 8<br> This is the problem and I am totally lost
    7·2 answers
  • Find the area of a triangle with a base of 10 in. and an altitude of 14 in. (The formula for the area of a triangle is A = bh ÷
    8·2 answers
  • WILL GIVE BRAINLIEST!!
    11·2 answers
  • HELP ME WITH IXL! SOMEONE, PLEASE HELP ME WITH IXL... THIS IS CONFUSING FOR ME. AND PLEASE PUT A EXPLANATION TO YOUR ANSWER... P
    5·1 answer
  • The perimeter p of the rectangle equals 30. Find the value of X?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!