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,and z

AD Is A Diameter Of Circle ABCDE . Angle BAC=22 & Angle ADC=60. AE And ED Are Parallel Lines. Find

Answers

Answer 1

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°


Related Questions

pls help (15 pts)
whats the value of p

Answers

I think p will 2 is this 8th grade math ?

I NEEED HELP!!!!!
find the equation of the line containing (5, -2) and has a slope of -1
A: y= -x + 9
B: y= -x - 3
C: y= -x + 6
D: y= -x + 3

Answers

The answer is y= -x + 6

Answer:

y= -x + 6 :) hope this helped you

Please I need help ASAP!

Answers

Answer:

3 percent 7 fractio n okokkok

HELP I ONLY GOT 3 MINUTES!!!!!!!!!!!!!!

Answers

Answer: 4

Step-by-step explanation:

A computer programmer had two files. The first was 49.71 gigabyes and the second was 44.5
gigabytes. What is the total file size of both?

Answers

Answer:

94.21 gigabytes

Step-by-step explanation:

add 49.71 to 44.5 to get 94.21

10. How many terms are in the algebraic expression 2x -9y+17w?​

Answers

Answer:

There are 3 terms

Step-by-step explanation:

The terms are 2x, -9y, and 17w

-6 + 2x = -10



please solve and show work if possible!

Answers

Answer:

2

6

=

1

0

Step-by-step explanation:

Answer: −6+2x=−10

Step 1: Simplify both sides of the equation.

2x−6=−10

Step 2: Add 6 to both sides.

2x−6+6=−10+6

2x=−4

Step 3: Divide both sides by 2.

2x

2=−4

2

x=−2

Answer:

x=−2

Step-by-step explanation:

Please help if possible due really soon thank you so much❤️❤️

Which regression equation best fits these data?

Answers

Answer:

the answer is

B I got it right on edge

write 132 as a product of prime factors.

Answers

Answer:

132

Step-by-step explanation:2 x 2 x 3 x 11

Simplify 8 over -4 divided by -3 over 9

Answers

Answer: .074 continuing

Answer:

6/1

Step-by-step explanation:

Hope this helps:)

I need anyone's help please, I'm stuck and its timed.

Answers

Answer:

the flagpole is 33 feet high.

Step-by-step explanation:

Brainliest please :)

An equation for the line whose slope is 4 and which passes thorough the point (-5,3)

Answers

Answer:

y = 4x + 23

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1} )\\y-3=4(x-(-5))\\y-3=4(x+5)\\y-3=4x+20\\y=4x+23[/tex]

The equation of the line is required.

The equation of the line is [tex]y=4x+23[/tex]

Equation of line

[tex]m[/tex] = Slope of line = 4

Point = [tex](-5,3)[/tex]

[tex]x_1=-5[/tex]

[tex]y_1=3[/tex]

Equation of a line is given by

[tex]y-y_1=m(x-x_1)\\\Rightarrow y-3=4(x-(-5))\\\Rightarrow y-3=4x+20\\\Rightarrow y=4x+20+3\\\Rightarrow y=4x+23[/tex]

Learn more about equation of line:

https://brainly.com/question/13763238

Which of the following numbers is closest to 12? O A. V145 B. 7147 C. V 142 D. V 146 . V​

Answers

Answer: C

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

12x12=144 and the closest number to 144 is 145

find the constant rate of change​

Answers

Answer:

- 2 ft/ s

Step-by-step explanation:

The rate of change is the slope m of the line.

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 80) and (x₂, y₂ ) = (40, 0) ← 2 points on the line

m = [tex]\frac{0-80}{40-0}[/tex] = [tex]\frac{-80}{40}[/tex] = - 2

Rate of change is - 2 ft/ s


What is the value of the expression below?*
(0 - 3) - 8 (+4)
0 -47
o –52
-37
-24

Answers

-37 because when you follow PEMDAS you will do the parentheses multiplication and then subtraction


Look at the diagram. If ST = 15 and RT = 40, then RS =_____.

R———————S——————T


Answers

RS would be equal to 25 because 15 + 25 = 40

The length of RS is 55 unit.

What is Axiom of addition?

The addition axiom states that when two equal quantities are added to two more equal quantities, their sums are equal. Thus, if a = b and y = z, then a + y = b + z.

We have, ST = 15 and RT = 40

Then RS can be get by adding the value ST + RT.

Apply Axiom of addition

then, RS

= RT + ST

= 40 + 15

= 55 unit.

thus, the length of RS is 55 unit.

Learn more about Axiom of addition here:

https://brainly.com/question/24148930

#SPJ7

Plz Helppp meeee assapppp

Answers

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = [tex]\sqrt{5}[/tex]

In a right angle triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

For the given triangle,

[tex]\cos 45^\circ= \dfrac{x}{\sqrt{5}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}[/tex]

Multiply both sides by [tex]\sqrt{5}[/tex].

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{10}}{2}= x[/tex]

Therefore, the required value of x is [tex]\dfrac{\sqrt{10}}{2}[/tex].

A laptop computer uses approximately 8.4 x 10(-3) kilowatt-hours of energy in 3.5x10(-1) hours. How many kilowatt-hours of energy does the laptop use per hour?

PLEASEEE, I NEED THIS REALLY BAD
the things in parentheses are exponents​

Answers

Answer:

A laptop uses between 50 and 100 W/hour when it is being used, depending on the model. A laptop that is on for eight hours a day uses between 150 and 300 kWh and emits between 44 and 88 kg of CO2 per year. In stand-by mode the power consumption of both a desktop and a laptop falls to about a third.

Step-by-step explanation:

A 9 by 4 centimeter rectangle expands in such a way that the 9–centimeter side is expanding at the rate of 5 centimeters per second and the proportions of the rectangle remain constant. At what rate is the area of the rectangle increasing when its dimensions are 36 by 16 centimeters?

A.
120 cm2/s
B.
140 cm2/s
C.
160 cm2/s
D.
180 cm2/s

Answers

Answer:

160 cm^2/s

Step-by-step explanation:

Just took the test.

Answer:

160cm^2

Step-by-step explanation:

answer from plato

PLS HELP BEEN STUCK FOR AN HOUR BRAINLIEST AND 26 POINTS!!!!
Match each statement (term) with its value in relation to 0 (definition).

Match Term Definition
A building is 37 feet tall. A) −37
The scuba diver was 37 feet below sea level. B) –25
The basement is 13.7 feet below ground. C) –13.7
Oliver owes his sister $25. D) 2.5
Erica jumped 2.5 feet above the ground. E) 37

Answers

A building is 37 feet tall would be E. The scuba diver was 37 feet below sea level would be A. The basement is 13.7 feet below ground would be C. Olive owes his sister $25 would be B. And Erica jumped 2.5 feet above the ground would be D

Find the axis of symmetry, vertex, domain, and range of the following quadratic function. (show work pls)

Answers

Answer:

All I know is the axis is horizontal lol

Step-by-step explanation:

Suppose that 15 inches of wire cost 45 cents at the same rate how many inches of wire would be bought for 33 pls fast

Answers

Answer:

If we are talking about cent's it would be 11 inches of wire

if we are talking about the wire, then 33in would be equivalent to 66 cents

Step-by-step explanation:

im not sure about the second one but the first answer is correct. Please give brainliest by the way

Answer:

11 inches

Step-by-step explanation:

45 divided by 15 = 3

33 divided by 3 = 11

4. Reflect the triangle ABC over the y-axis. A(0,4.) B(-1, -1) C(2, -3). What is the coordinate points of B?
(1 point)
A) B' (1,-1) B) B' (-1,1) C) B' (-1,-1) D) B' (1,0)

Answers

Coordinating points for B is (-1,-1)

Plzzzzz help it's an exam !!! In triangle HIJ, m

Answers

Answer:

84

Step-by-step explanation:

(3× + 12)+ (5× +9) +(2× +9) = 180degrees

10× + 30 = 180

10× = 180-30

× = 15

5×15+9 = 84

What is the range of the data in the table?

Height Tally Frequency
65" | 1
66" | 1
67" |||| 9
68" ||| 8
69" ||| 3
70" || 2
71" | 1
6

7

8

9

Answers

Answer:

range = maximum value - minimum value.

= 71 - 65

= 6

Answer:

it is 6

Step-by-step explanation:

sorry!

what is the answer backs i need help

Answers

Answer:

Option a

Step-by-step explanation:

It is made up of only rational numbers

How many 12 letter words can be formed using the letters in the word "tessellation"?

Answers

Answer:

479001600

Step-by-step explanation:

You will want to use 12!.

12*11*10*9*8*7*6*5*4*3*2*1=

479001600

Which sentence below is a run-on? PLEASE HELP!!! ASHAP
!

A. Kirsten and Victoria walked the dog to the park and hung out.
B. Kirsten brushed her dog after dinner. She decided that she would take him for a walk.
C. Kirsten brushed her dog after dinner she took the dog for a walk and ran into Victoria.
D. Kirsten ran into her friend Victoria while she was walking her dog.

Answers

Answer:

C

Step-by-step explanation:

I hope that is right. Hope I helped

21/x=7 the solution

Answers

Step-by-step explanation:

×/21 x ×/21 = 7× x/21

x= 1/3

Which problem solving strategy would be best to solve this problem?

Jim and Lillian are painting a wall that is 15 ft wide and 9 feet tall. How much paint will they need to buy?
A. work backwards
B. use a formula
C. make a table, chart or list
D. make a model or diagram

Answers

Answer:

The correct option is;

B. Use a formula

Step-by-step explanation:

Given that Jim and Lillian have the dimensions of the wall they want to paint, therefore, in order to know how much paint they need to buy, they should proceed as follows;

1) Determine the quantity of paint required to paint a unit area of the wall, and record the quantity UA

2) Calculate the area, A, of the wall they want to paint, which is 15 ft. × 9 ft. = 135 ft.²

3) The amount of paint needed, AmP is therefore given by the following formula

AmP = A × AU = 135 × AU

Answer:i dont know

Step-by-step explanation:

Other Questions
need help asap plzz can you take advantage of the information on social media sites related to careers you are interested in A rectangular block measures 4.1 cm by 2.8 cm by 2.1 cm.Calculate its volume giving your answer to an appropriatenumber of significant figures. a species with 16 pairs of homologs has a total of how many chromosomes in each cell? A:58 B:32 C:16D:8 PLS HELP BRAINLIST SO QUICK HELP ME The earths gravity is pulling on you. Are you pulling on the earth? Explain your reasoning. No need to show work just answers! For number 11 please Please help 20 points!!!! Write a well-developed paragraph about the topic below. (please don't type a random answer or say something like "write something that you'd think would work best" I'm counting on you, thanks!) y = 15 when x = 60, find y when x = 45 Use the Percent Proportion to solve the following. Find 32% of 135 PLEEASSEEE HELP WILL GIVE BRAINLIEST I'VE BEEN STUCK ON THIS FOR FOREVER1.Write your outline.2.Review characters, plot, and setting. Make notes.3.Write your review of characters, plot, and setting in the form of notes. Think about the strengths and weaknesses of each.4.Search the novel for strengths in technique. Again make notes. Pay attention to strong or weak character development, strong or weak plot, how setting helps character development and action or overpowers them. Also search sources about Silas Marner for perspectives on George Eliot's methods and/or themes (and don't forget to record the necessary facts about those sources for proper crediting).Submit your outline below (Include your thesis at the top of your outline.). Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.Online Content: Site 1Name two STDs that can be cured. (Site 1) Typically, a cover letter should be no longer than A. three pages B. one page C. five pages D. two pages was john proctor a hero or a fool ? please explain Find the distance between the 2 points shown on the number line.Q-10-5051012131415 4. How were the Coahuiltecan and the Karankawa different? As the marginal propensity to consume (MPC) increases, the spending multiplier: Increases, decreases, stays the sameIf the marginal propensity to consume is 0.70, then, assuming there are no taxes or imports, the multiplier is: (Note: round to the nearest tenth)Given the multiplier that you calculated, what is the total impact on spending when there is a $1,000 increase in government spending? Why is a good idea to analyze the title and first paragraph of article before reading the entire piece?They tell you how long the article is likely to be.They contain clues about the articles purpose and topics.They tell you all you need to know to summarize the article.They compare the article to articles written by others This is for fun type as many Christmas songs as you can below my fav will get brainiest you will get 35 points as well.again this is for fun and also HURRY UP AND TYPE only 2 users get to do thisthis is the last one so HURRY Which nation was NOT part of the Triple Entente powers -France -England -Russia -Bulgaria -Italy