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
Answers
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
Which expressions equal zero?
A) -52 + 52
B) 12 +(-1
C) 6-(-6)
D) -27 +(-27)
E) -83 -(-83)
Answers
Answer:
A,B,E
Step-by-step explanation:
I checked on the usa test prep and its what those three
The options satisfying expressions that result to zero are,
A. - 52 + 52.
E. - 83 - ( - 83).
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
A number added to it's additive inverse results to zero.
From the given options the only options that satisfies the result to be zero
are,
- 52 + 52.
- 83 - (- 83).
= - 83 + 83.
As the negative signs distribute to make it a positive number.
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LAST QUESTION AND HURRY IM BEING TIMED Last year, the enrollment at Highland Middle School was 800 students. This year, the enrollment dropped to 700 students due to the opening of a new middle school. Which best reflects the percent change in enrollment at Highland Middle School from last year to this year?
Answers
Answer:
-12.5
Step-by-step explanation:
will mark brainliest if the answer is correct
Answers
Answer:
2/16
Step-by-step explanation:
your adding 2 and 16 so 2/16
Express 7 as a fraction of 28.
Give your answer in its simplest form.
Answers
Answer:196/28 = 7
Step-by-step explanation:
Answer: 196/28 = 7
I hope this helps, and Happy Holidays! :)
URGENT‼
The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:
I. 10 yards
II. 44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?
Option A: I, only
Option B: II, only
Option C: I and III
Option D: II and III
Answers
The values of following are 10 yards = 0.009144 km, 44,880 feet = 13.678, 15,560 yards = 14.228
What is kilometer ?"The kilometer spelt kilometer in American English, is a unit of length in the metric system, equal to one thousand meters (kilo- being the SI prefix for 1000). It is now the measurement unit used for expressing distances between geographical places on land in most of the world; notable exceptions are the United States and the United Kingdom where the statute mile is the unit used."
Given,
(i) 10 yards
1 yard = 0.0009144
then 10 yard = 10*0.0009144 = 0.009144 km
(ii) 44,880 feet
1 feet = 0.00030478
then 44,880 feet = 44,880*0.00030478 = 13.678 km
(iii) 15,560 yards
15,560 yards = 15,560 *0.0009144 = 14.228 km
Hence, D is the correct option.
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A company's profits for a week are as follows:
Monday: +$32.65, Tuesday: -$75.32,
Wednesday: -$125.75, Thursday: +$100.89,
and Friday: +$65.30. Does the company show
a gain or loss at the end of the week?
Answers
Answer:
Loss
Step-by-step explanation:
If you add all the numbers up you get -2.23 which would be a loss
Answer:
The company shows loss
Step-by-step explanation:
32.65 - 75.32= -42.67 so they're already at a loss
you would add -125.75 and -42.67 and woud get -168.42
Then you would add 100.89 and 65.30 and you would get 166.19
166.19+(-168.42)=-2.23
Use the triangle angle-sum theorem and other angle relationships to find the missing angle measures
Answers
(90+40+x=180)
Second is 40 by the vertical angles theorem
Finally the third one is 45
Help please! Thank you.
Answers
Three friends went to a ballgame. Each bought a ticket for $8 and they shared a bag of peanuts that cost $5. Which expressions represent how much they spent in all?
Answers
Answer:
13$ dollars
Step-by-step explanation:
I hope this helps
A professional hockey team has 15 wingers. 5 of these wingers are 30-goal scorers. Every fall the team plays an exhibition game with the club’s farm team. In order to make the match more interesting for the fans, the coaches agree to select two wingers at random from the pro team to play for the farm team. What is the probability that two of the 30-goal scorers are selected to play for the farm team?
Answers
Answer:
Step-by-step explanation:
My teacher showed me this riddle can anyone help???
Answers
Answer:
12/36
12/15
16/28
25/45
Step-by-step explanation:
The radius of a circle is 3 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
Use 3.14 for π .
Answers
Answer:
28.26 cm for circumference
Step-by-step explanation:
we know radius
Circumference formula is
Pi*diameter
we double radius for diameter
which is 6
now for that 6 we multiply that by 3.14
and your final answer is 28.26
Why were Samaritans disliked by the Jews at the time?
Answers
Answer: they had a bad reputation
Step-by-step explanation:
9.
30% of the members of a club are female and 20%
of these females own cars. 30 female members in
the club own cars.
PROBLEM
SOLVING
(a) How many female members are there?
(b) What is the total number of members?
(c) What percentage of the club members are
females who own cars?
Answers
.24 of the jackets for sale at a clothing store are blue. If this represents 15% of all jackets in the
store, how many jackets are not blue
Answers
Answer:
165 jackets or 85%
Step-by-step explanation:
PLZZ HELPP IM FAILLING
What number could be a common denominator for these three fractions?
1/2 and 1/3 and 1/4
Answers
Answer:
12 would be a common denominator
Step-by-step explanation:
2 4 6 8 10 (12)
3 6 9 (12)
4 8 (12)
Can someone help me?
Answers
Answer: man ion know anything abt that hru
Step-by-step explanation:
How many feet are in 2.5 miles if there are 1,760 yards in one mile (1 yd = 3 ft)
A. 587
B. 13,200
C. 5,280
Answers
Answer:
1760 yards
1 mile = 1760 yards. The symbol is "mi".
Step-by-step explanation:
find the values of x and y
Answers
Answer:
2700
Step-by-step explanation:
base times height
45 time 60 = 2700
A train is traveling at a constant speed and goes a distance of 7 1/2 kilometers in 6 minutes the train will continue at this speed the train will travel a distance of d kilometers in m minutes write an equation that represents the relationship between d and m
Answers
Answer:
392939939393939399393939393
Step-by-step explanation:
An equation that represents the relationship between d and m can be written as d = 1.25 m.
What is Speed?Speed of an object is the rate of change of position of an object in any direction.
Speed is a scalar quantity because it does not have any direction, it only has magnitude. Speed with direction is called velocity.
The formula for calculating speed is,
Speed = Distance / Time
Given distance the train travelled = 7 [tex]\frac{1}{2}[/tex] kilometers
= 15/2 kilometers
= 7.5 kilometers
Time taken to travel the distance = 6 minutes
Speed = 7.5 / 6
= 1.25 kilometers / minute
Given that speed of the train is constant.
Hence for any distance 'd' kilometers in 'm' minutes,
d / m = 1.25
d = 1.25m
Hence d and m can be related by the equation d = 1.25m.
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My teacher wants me to do 6.15÷31 in estimate but I don't get it
Problem: 6:15÷31 Estimate
Answers
I would say I guess it is about around 0.198387.
can someone answer this please
Answers
Answer:
The coordinates of point P are (1, -1)
Step-by-step explanation:
If the point (x, y) reflected about the x-axis, then its image is (x, -y)To find the image of a point reflected about the x-axis change the sign of its y-coordinateThe rule is R x-axis → (x, -y)If the point (x, y) reflected about the y-axis, then its image is (-x, y)To find the image of a point reflected about the y-axis change the sign of its x-coordinateThe rule is R y-axis → (-x, y)→ Assume that the coordinates of point P are (x, y)
∵ The coordinates of point P are (x, y)
∵ The rule of the reflection is R y-axis (P)
∴ Its image = (-x, y)
∵ The image = (-1, -1)
→ Equate the two images
∴ (-x, y) = (-1, -1)
∴ -x = -1
→ Divide both sides by -1
∴ x = 1
∵ y = -1
∴ The coordinates of point P are (1, -1)
volume of 11ft, 10ft, 22ft, 7ft, 4ft, and 10ft
Answers
Answer:
i really dont get what u want
Step-by-step explanation:
The price of a computer component is decreasing at a rate of 10% per year. State whether this decrease is linear or exponential. If the component costs $ 110 today, what will it cost in three years?
Answers
Answer:
The cost in 3 years is $80.19.
Step-by-step explanation:
The cost of computer component is $110 today.
The cost is decreasing at a rate of 10% per year.
When it decreases by 10% per year then it is exponential.
Initial cost is $110. When it decreases 10% per year, the decay factor is 1-0.10 =0.90.
So, we could use the exponential formula y=[tex]ab^{x}[/tex]
Where 'a' is initial cost and b is decay factor.
Our equation would by plug in 'a' as 110 and 'b' as 0.90.
We get
[tex]y= 110(0.9)^{x}[/tex]
Now, to find the cost in 3 years, use x as 3.
[tex]y=110(0.9)^{3}[/tex]
Which is simplified to
y=$80.19
3.54, -6.433, -0.04, -0.55, -0.76
Answers
Answer:
-6.433,-0.76,-0.55,-0.04,3.54
Step-by-step explanation:
hope this helps
Are the following lines parallel, perpendicular or neither?*
7x -8y = 64 and y = - 4x + 15
parallel
perpendicular
O neither
O both parallel and perpendicular
Answers
Answer:pAraell
Step-by-step explanation:
The sum of a number a and negative 12 is 6. Write the equation.
Answers
basically we’re trying to find A. In order to find A, you can just rewrite the equation by flipping it. -12 - 6= isss?
What is the equation in point-slope form of the line that passes through the point (4,8) and has a slope of 14?
A. Y+8=1/4(x-4)
B. Y-4=1/4(x+8)
C. Y-8=1/4(x+4)
D. Y+4=1/4(x-8)
Answers
Answer:
The answer is A
Step-by-step explanation:
The Viking football team won 4 out of every 5 of their football games. If they played 20 games, how many games did they lose?
Answers
Answer:
i believe that they lost 5 because they won 4 out of 5 so they won 15 games because 4x5=20 so they lost five games
Step-by-step explanation:
can i get brainlest
I’m pretty sure I have the right answer but if you answer I will give brainiest
Answers
Answer:
your answer would actually be B
Step-by-step explanation:
Answer:
The right answer is choices B.
Step-by-step explanation:
I hope this helps
