Two vertical angles have measures (4x-21)° and (x+6)°. Find the measures of the angles




Answers

Answer 1

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate  (4x-21)° and (x+6)° and solve for x

(4x-21)° =  (x+6)°

4x  -  21   =  x   +  6

Collect like terms

4x  -  x   =   6  +  21

3x    =  27

x   =  27/3

x    =   9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9)  -  21

4x  -  21  = 15°

Substitute x = 9  into x + 6

x  +  6  =  9  +  6

x  +  6  =  15°

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Related Questions

Solve for X

6-6x=6x-8x+14

Answers

Answer is x=-2
Explanation:
6-6x=-2x+14
-6x+2x=14-6
-4x=8
x=-2

look at photo that is added

Answers

The slope intercept form using the two points would be : y= 2x-13

Carey creates the table below to help him determine 75% of 36.


75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9

He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?

Answers

Answer:

27 is the answer

Step-by-step explanation:

36/.75=27

Any one know the answer for this question??????

Answers

Answer:

C) y > 0

Step-by-step explanation:

I graphed it

Multiply.

[−8⋅4/11]⋅[(−0.1)⋅22]

Answers

Answer:

6.4

Step-by-step explanation:

Hope this helps :D

Hehehjsbusbsysbsusniwnwiwkwiwn

hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D​

Answers

Step-by-step explanation:

When you get negative it is ok.

It means you have a discount here, not really increase but decrease in price.

Here you have:

(1680 - 4200)/4200*100% = - 60%

It is called 60% mark down or 60% discount

Simplify this expression 3(2h + 5)

Answers

6h+15
Explaination: cause I’m a genius
The answer is 6h + 15

Explanation: use the distributive property.
3 x 2h = 6h
3 x 5 = 15

Which of the following is equal to this expression? (254 * 64) 1/4

Answers

Answer:

4064

Step-by-step explanation:

254*64=16256*1/4=4064

4 Anna plays a computer game for
of an hour each evening. How many
hours does she spend playing computer
games in a week? In 8 weeks? Draw a
model or write equations to show your
work.

Answers

Answer: 7, 56

Step-by-step explanation:

The answer to the first question is 7 because since there are 7 days in a week, and she plays for an hour each evening, 1 times 7 is 7. If she plays for 8 weeks, she would play for 56 hours because 7 times 8 is 56.

Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?

Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.​

Answers

Answer:

Paula jogs more by 0.1113636 miles or 600 feet.

Step-by-step explanation:

formula for feet to miles; 5280 / f.

2700 / 5280 = 0.5113636363636

0.113636363636 x 5280 = 600 feet.

Round 2,861 to the nearest hundred

Answers

2,900

hope this helps

Hey there!

2,891

= 200,000 + 800 + 90 + 01

= two-hundred thousand, eight hundred ninety one

Thousand:

2,000

Hundred:

900

Tens:

90

Ones:

1

Based on that information we can answer your question

SIMPLIFY IT

ANSWER: 2,900

[2,000 + 900 + 0 + 0]

[two thousand + nine hundred]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

6=2(y+2) solve for what is y?

Answers

Answer:

y is 1

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

First divide both sides by 2

this gives you 3 = y+2

then subtract 2 from each side giving you y = 1

what is a 8096 rounded to 1 significant figure

Answers

Answer:

Y Me Angry U Hungry Me And Me Angry Way Back together Me Y He Angry Me He Angry Me Angry:(

answer is 8000
8 is the first non-zero digit leaving it the one used

Issac ate 2/4 of a pizza. Madison ate 1/5 how much did issac eat more than Madison?​

Answers

Answer:

6/20. (simplified is 3/10)

Step-by-step explanation:

The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters

Answers

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

[tex]\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \ of \ voters }[/tex]

100 × Total number of voters = 2800 × 360

[tex]The \ total \ number \ of \ voters = \dfrac{2800 \times 360}{100} = 10080[/tex]

The total number of voters = 10080

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Answer:

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

100 × Total number of voters = 2800 × 360

The total number of voters = 10080

gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.

Answers

Step-by-step explanation:

According to the given we have following inequalities:

x + y ≤ 220y ≥ 4x

See the graph attached below.

Solution region is within the triangle with marked vertices.


By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567

Answers

Answer:

option a as last digit even a d come in 3 table

Find a number such that 20 less than twice the number is 50.

Answers

140 because 70 (the half) minus 20 is 50

The required simplified solution of the given expression is 35.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the number x,
A number such that 20 is less than twice the number is 50.
2x - 20 = 50
2x = 70
x = 35

Thus, the required simplified solution of the given expression is 35.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

The Picture is attached below

Answers

Answer:

Step-by-step explanation:

Solve.

x−(−256)=−15

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

x =

Answers

Step-by-step explanation:

[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]

thank you guys for helping me :) :)

Answers

Answer:

The second one is right

Step-by-step explanation:

Hope it helpssss

There were 6 teams in a baseball tournament. Each team played against every other team exactly once during the tournament. A team earned 2 points for a win, 1 point for a tie, and 0 points for a loss. What was the total number of points earned by all 6 teams in the tournament?

Answers

Since there were 6 teams in a baseball tournament, and each team played against every other team exactly once during the tournament, and a team earned 2 points for a win, 1 point for a tie, and 0 points for a loss, to determine what was the total number of points earned by all 6 teams in the tournament, since a series of results have not been raised, the following table should be made:

Possible outcomes: 5 wins = 5 x 2 = 10 4 wins and 1 a draw = 4 x 2 + 1 = 9 4 wins and 1 loss = 4 x 2 = 8 3 wins and 2 draws = 3 x 2 + 2 x 1 = 8 3 wins, 1 draw and 1 loss = 3 x 2 + 1 = 7 3 wins and 2 losses = 3 x 2 = 6 2 wins and 3 draws = 2 x 2 + 3 x 1 = 7 2 wins, 2 draws and 1 loss = 2 x 2 + 2 x 1 = 6 2 wins, 1 draw and 2 losses = 2 x 2 + 1 = 5 2 wins and 3 losses = 2 x 2 = 4 1 win and 4 draws = 2 x 1 + 4 x 1 = 6 1 win, 3 draws and 1 loss = 2 x 1 + 3 x 1 = 5 1 win, 2 draws and 2 losses = 2 x 1 + 2 x 1 = 4 1 win, 1 draw and 3 losses = 2 x 1 + 1 x 1 = 3 1 win and 4 losses = 2 x 1 = 2 5 draws = 5 x 1 = 5 4 draws and 1 loss = 4 x 1 = 4 3 draws and 2 losses = 3 x 1 = 3 2 draws and 3 losses = 2 x 1 = 2 1 draw and 4 loss = 4 x 1 = 1 5 losses = 0

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Which constant term would mean that the expression is completely factored?.

Answers

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

took the test

I will give 20 points

Answers

Answer:

This is like quadratic equation you just say y=1x+-2 and then you get the answer

Can someone please help me

Answers

Answer:

D. Step 3 and Step 4

Step-by-step explanation:

I tried to put in some numbers for x and I'm pretty sure that you can subtract stuff from both sides but you can't divide. I'm 70% sure, so tell me if something's wrong :)

What is the greatest common factor of 18, 6, and 36?

Answers

Answer:

18 is the greatest common factor between those

Answer:

There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.

Step-by-step explanation:

The number of packages of ribbon varies directly to the total amount of ribbon in feet. At a packaging plant 12 packages of ribbon will contain 900 feet of ribbon. If 4 packages of ribbon on ordered, how many feet of ribbon will there be?

Answers

Answer:

300 feet

Step-by-step explanation:

Direct variation equation:

y = kx, where k is the coefficient of variation

We have y = 900, when x = 12, find the value of k:

900 = 12kk = 900/12k = 75

The equation is:

y = 75x

Now, find the value of y, when x = 4:

y = 75*4 = 300

During a job interview, you are asked to rate on a scale of 1 to 5 how happy you are. What type of test is the interviewer giving you

Answers

Answer:

Probably how much you want this job, if you say 0, than they are prob gonna assume you dont want to do this job, and you wont do your best. If you say 5, then you do want this job and your excited and youll give your all

Step-by-step explanation:

Questions regarding the level of excitement or happiness of one's self are called mental health or happiness test.

Happiness test are administered to evaluate personal feeling of excitement, hence, it cannot be taken on one's behalf as they are personified information.

Happiness test are usually structured as "How happy are you". Hence, they are direct and usually measured using an Ordinal scale.

Hence, the type of test on this context is Happiness test.

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need help with pre-cal please

Answers

Answer:

x = n² ± n√(n² + 8)

Step-by-step explanation:

x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)

do the write a relation as a set of five ordered pairs then express the relation using a:

table




mapping diagram




graph​

Answers

Answer:

Step-by-step explanation:

Table

x I y-------1  I  22  I  43  I  64  I  85  I  10
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