What is the measure of an angle, in degrees, if its supplement is six times its complement?

Answers

Answer 1

Answer:

72 degrees.

Step-by-step explanation:

We can name the measure of the angle x.

We can name the measure of the complement of it y.

Note that complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees.

Using this info, we can set up two equations.

x+y=90

x+6y=180

Subtract the first equation from the second to eliminate x. You can do both ways, but I prefer to keep the equation positive.

x+6y=180

-x -y   -90

5y=90

Divide both sides by 5.

y=18

The complement is 18, now we can plug that in to find x.

x+18=90

Subtract 18 from both sides.

x=72

The measure of the angle is 72 degrees.


Related Questions

What is the GCF of the
following polynomial?
10x2 + 45x - 25​

Answers

Answer:

5

Step-by-step explanation:

Find the prime factors of each term in orer to find the GCF

Answer:

Step-by-step explanation:

5(2x^2 + 9x - 5)

5(2x - 1)(x + 5)

Which expression is equivalent ?

Answers

Answer:

Step-by-step explanation:

the given expression is equivalent to (-9/4) / [-2/3]  =  (-9/4)*(3/2) = 27/8

Two lines meet at a point that is also the vertex of an angle; the measurement of ∠

Answers

Answer:

x = 30°, and y = 46°

Step-by-step explanation:

If we take a look at the attachment below, we will find x = 30°, and y = 46°;

(8^4)(6^3)(16^-2)÷32

Answers

Answer:

108

Step-by-step explanation:

8^4 = 4096

6^3 = 216

16^-2 = 0.00390625

4096x216x0.00390625 = 3456

3456/32 = 108

Answer:

(3/2)^3

Step-by-step explanation:

The trick here is to identify the common base (it is 2) and express all factors except for 3^2 as powers of 2 that can be added or subtracted.

Note that 8 = 2^3, 6 = 2 * 3, 16 = 2^4 and 32 = 2^5.  Using this info, we can immediately begin reducing the given expression:

                                         (2^3)(2^3)(3^3)        2^6*3^3             3^3

(8^4)(6^3)(16^-2)÷32  =>  ----------------------- = ----------------  =  --------------

                                          2^4*2^5                 2^9                   2^3                                      

                                           

                                                                                               = (3/2)^3

Solve for x:
a(5-x) = bx - 8
x = ?

Answers

Answer: The answer is I believe x would equal X=5a+8/a+b. Hope this helps

if yes please make me as a brainyst thank you!

Step-by-step explanation:

2.78 km
Before the eruption of a volcano, the volcano was 2.78 kilometers high. After
the eruption, the volcano was 2.28 kilometers high. Use the bar diagram to
find the difference in height of the volcano before and after the eruption, in
meters.
2.28 km
?
Click the icon to see the metric units of length.
The difference in height of the volcano before and after the eruption is
(Type a whole number or a decimal.)
meters.​

Answers

Answer:

The difference in height is 0.5

Step-by-step explanation:

To find the difference just subtract 2.28 from 2.78

0.5

PLS SOLVE RIGHT NOW WILL GIVE BRAINIEST 5 STARS AND THANKS
3 1/8 ÷(x−4 7/28 )= 17/18 +1 5/6

Answers

Answer:

5 3/8

Step-by-step explanation:

3 1/8 ÷(x−4 7/28 )= 17/18 +1 5/6

Get a common denominator for the right side

3 1/8 ÷(x−4 7/28 )= 17/18 +1 15/18

Combine like terms

3 1/8 ÷(x−4 7/28 )= 1 32/18

3 1/8 ÷(x−4 7/28 )= 2 14/18

3 1/8 ÷(x−4 7/28 )= 2 7/9

We have a ÷ b = c

Rewriting as a ÷c = b

3 1/8 ÷ 2 7/9 = (x−4 7/28 )

Changing from mixed numbers to improper fractions

25/8 ÷ 25 /9 = (x−4 7/28 )

Copy dot flip

25/8 * 9/25 = (x−4 7/28 )

9/8 = (x−4 7/28 )

Add 4 7/28 to each side

9/8  + 4 7/28 = (x−4 7/28 )+ 4 7/28

Simplifying the fractions

9/8 + 4 1/4 = x

Getting a common denominator

9/8 + 4 2/8 =x

4 11/8 =x

4 + 8/8+3/8 =x

5 3/8

write the equation of a line perpendicular to y=3x-2 through the point (-5,8).

Answers

Answer:

y=-1/3x +29/3

Step-by-step explanation

We know that the line perpendicular to a slope of 3 is it's opposite reciprocal. So the slope is -1/3. Substitute -5 as X and 8 as Y so you get:

8= -5/3x +b.

B= 29/3

That's your answer.

PLS ANSWER QUICK WITH FULL WORK

Answers

Answer:

∠ A = 31.3°, ∠ C = 58.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{13}{25}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{13}{25}[/tex] ) ≈ 31.3° ( to the nearest tenth )

The sum of the 3 angles in a triangle = 180° , thus

∠ C = 180° - (90 + 31.3)° = 180° - 121.3° = 58.7°

John has 72 tiles. Write a factor pair for the number 72.

Answers

Answer:

2×6²

I think it is right one.

Stephen and Alice are reading the same book for a book club. Stephen reads
278 pages in 7 weeks. Alice reads 31 pages each week. About how many more
pages does Stephen read each week than Alice?
20
70
o
10​

Answers

Answer:

10

Step-by-step explanation:

Stephen 278 pages in 7 weeks. Divide 278 by 7 to get 39.71 pages per week.  39.71 rounds up to 40, and 40 is about 10 more than 31.

There are more 9 pages does Stephen read each week than Alice.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Stephen reads 278 pages in 7 weeks.

And, Alice reads 31 pages each week.

Here, Stephen reads 278 pages in 7 weeks.

Hence, Number of pages read in 1 week = 278 / 7

                                                               = 40

And, Alice reads 31 pages each week.

Thus, Number of more pages Stephen read each week than Alice is,

⇒ 40 - 31

⇒ 9

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ5

measure HLO equals.......

Answers

Answer:

90 <------ ANSWER

Write this trinomial in factored form.
3y2 - y - 2

Answers

Answer:

5y-2

Step-by-step explanation:

Answer:

(3y+2)(y-1)

Step-by-step explanation:

Lei pre sold 32 carnations for a fundraiser, then she sold c more carnations on the day of the fundraiser. She earned 0.25 dollars for each carnation she sold. The expression 8+ 0.25c describes how much money Lei earned for the fundraiser. We can also use the expression 0.25(32+c) to represent the same quantity. Help me Create another Expression please.
Answer I WILL GIVE BRAINLIEST!

Answers

Answer: [tex]0.5 * (16 + 0.5c)[/tex]

Step-by-step explanation:

Creating identical expressions involves changing quantities in a way that preserves the end values specified in the equation.

For instance, if Lei sold 4 carnations:

[tex]8 + 0.25 (4) = 9\\\\0.25 * (32 + 4) = 9[/tex]

In the second equation listed, the expression (8 + 0.25c) was multiplied by 4, then by 0.25, for a total multiplicand of 1.

You can make a third equation through the same method. I'll multiply (8 + 0.25c) by 2, and then multiply that expression by 0.5 to keep the multiplicand unchanged:

[tex]0.5 * (16 + 0.5c)[/tex]

If Lei sold 4 carnations:

0.5 * (16 + 2) = 9

This equation represents the same quantities as the other equations.

Answer:

Here is the correct way to do it

Step-by-step explanation:

This is making my brain be wild, please help!

Answers

Answer: further from, mean

When driving a car with Anti-lock Brakes (ABS), if your brakes fail when you are trying to stop, you should
O Quickly apply the parking brake with as much force as you can.
O Push on your brake pedal and hold it down. Shift to a lower gear and slowly apply your parking brake.
Shift into park if you have an automatic transmission

Answers

Answer:

B

Step-by-step explanation:

Applying the parking brake quickly is dangerous ..

from permit test  I remember pump your brake pedal hard and fast. shift lower gear, and slowly apply parking brake.

When driving a car with Anti-lock Brakes (ABS), if your brakes fail when you are trying to stop. You should, Push on your brake pedal and hold it down. Shift to a lower gear and slowly apply your parking brake.

What is  Anti-lock Brakes?

An anti-lock braking system (ABS) is a safety anti-skid braking system used on aircraft and on land vehicles, such as cars, motorcycles, trucks, and buses. ABS operates by preventing the wheels from locking up during braking, thereby maintaining tractive contact with the road surface and allowing the driver to maintain more control over the vehicle.

When driving a car with Anti-lock Brakes (ABS), if your brakes fail when you are trying to stop. You should, Push on your brake pedal and hold it down. Shift to a lower gear and slowly apply your parking brake.

Example: From permit test, pump your brake pedal hard and fast. shift lower gear, and slowly apply parking brake.

Learn more about Force:

https://brainly.com/question/13191643

#SPJ2

Need help on this problem can someone help me.

Answers

Answer:

sq root of 53

Step-by-step explanation:

Please help!
F(x)= 3x^2 +12x+5

Answers

the answer is 84

hope this helps :)

(if you wouldn’t mind could you mark me brainliest?)

what is 4^2+8x-11x+6-5x^2+2​

Answers

I'll teach you how to solve 4^2+8x-11x+6-5x^2+2​

--------------------------------------------------------------

4^2+8x-11x+6-5x^2+2​

Add similar elements:

8x - 11x= -3x

4^2-3x+6-5x^2+2

Group like terms:

-5x^2-3x+4^2+6+2

Add the numbers:

6+2= 8

-5x^2-3x+4^2+8

4^2= 16

-5x^2-3x+16+8

Add the numbers:

16+8= 24

-5x^2-3x+24

Your Answer Is -5x^2-3x+24

plz mark me as brainliest if this helped :)

1) Tanya is buying edging for a triangular flower garden she plans to build in her backyard. If the lengths of the three pieces of edging that she purchases are 13 feet, 10 feet, and 7 feet, will the flower garden be in the shape of a right triangle ?

Answers

Answer:

• In a right triangle, the two sides adjacent to the

right angle are known as the _________, or

______ and ______.

• The side opposite from the right angle

is called the ___________________, or ______.

• The hypotenuse is always the _______________ side of a right triangle.

Step-by-step explanation:

Answer:

The Flower Garden is not in the shape of a right Δ

Step-by-step explanation:

~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~

Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;

a^2 + b^2 = c^2,

10^2 + 7^2 = 13^2,

100 + 49 = 169,

149 ≠ 169,

So the Flower Garden will not be in the shape of a right Δ

Please Need Help. Thank You :)


Please find the Volume of these cylinders:

Answers

Answer:

the one for the finding the height is 3.3, the one with 7 as the height is 351.86, and the one with 3 as the height is 150.8

Step-by-step explanation:

h=V

πr2=41.5

π·22≈3.30247

V=πr2h=π·42·7≈351.85838

V=πr2h=π·42·3≈150.79645

Big Y has rice on sale for $1.99 per bag. You bought one bag of rice and 6 cans of black beans. Your total cost was $7.33. How much did one can of beans cost?

Answers

Answer:

$0.89

Step-by-step explanation:

so one bag is 1.99

her total cost was 7.33

you bought 6 cans of BB

so you do 7.33 minus 1.99

5.34 divided by 6

Answer:

total: 7.33

you bought one bag of rice: 1.99

7.33 - 1.99= 5.34

since u want to know the cost of ONE can of beans

5.34 divided by 6

which is 0.89

Step-by-step explanation:

That means one can of beans cost 0.89

HOPE IT HELPS :)))))

The length of a rectangle is six times the width. The perimeter of the rectangle is 28 inches. What is the area of the rectangle (in square inches)?

Answers

Answer:

i think its 150

Step-by-step explanation:

Answer: 43

Step-by-step explanation:

PLEASE HELPPPP!!!
The graph of f(x) is shown below.



If g(x) = 5x - 5, which statement is true?

A.

The y-intercept of f(x) is greater than the y-intercept of g(x).


B.

The x-intercept of f(x) is greater than the x-intercept of g(x).


C.

The x-intercept of f(x) is equal to the x-intercept of g(x).


D.

The y-intercept of f(x) is less than the y-intercept of g(x).

Answers

Answer:

Step-by-step explanation:

A

Answer:

C

Step-by-step explanation:

C

Is -9x^2+12x-17 written in standard form ?

Answers

Answer:

Yes it should be in standard form.

Step-by-step explanation:

cx is an altitude in triangle ABC.
Which statements are true? Select two options.
Ο ΔΑΒΟΣ ΔΒΧΟ
B
Ο ΔΑΧΟ - ΔΟΧΒ
X
Ο ΔBCΧΑ ΔΑCX
A
Ο ΔΑΟΒ - ΔΑΧΟ
C
Ο ΔΟΧΑ - ΔΟΒΑ

Answers

ΔAXC ~ ΔCXB

ΔACB ~ ΔAXC

if F (x) = 3[x] -1
what is f(2.4)?​

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

it should be 6.2

Step-by-step explanation:

9( 10a +
12c) + 11(6a + 50 + 11)​

Answers

Answer:

156a + 108c + 671

Step-by-step explanation:

Answer:

108c+156a+671

Step-by-step explanation:

9( 10a + 12c) + 11(6a + 50 + 11)​

pemdas

90a+108c+66a+550+121

90a+66a=156a

550+121=671

108c+156a+671

State the value of the discriminant of 5x2 + 9x = 3.
please answer quick!

Answers

Answer:

141

Step-by-step explanation:

convert to standard form then use D= B squared -4ac

the graph of logistic population growth is shaped like what letter

Answers

Answer:

the letter S

Step-by-step explanation:

Answer:

The answer is letter S

Step-by-step explanation:

Other Questions
Events A and B are mutually exclusive. Find the missing probability.P(A) = 3/10 P(B) = ? P(A or B) = 4/5 1/2 2/3 1/5 3/10 Please help!! Place the events from earliest to latest ! Please help! Will give brainliest, thanks and more points.Look at the picture. They said Miss Kinnian told that I was her bestist pupil in the adult nite school becaus I tryed the hardist and I reely wantid to lern. They said how come you went to the adult nite scool all by yourself Charlie. How did you find it. I said I asked pepul and sumbody told me where I shud go to lern to read and spell good. They said why did you want to. I told them becaus all my life I wantid to be smart and not dumb. But its very hard to be smart.After I figgered out how punctuation worked, I read over all my old Progress Reports from the beginning. Boy, did I have crazy spelling and punctuation! I told Miss Kinnian I ought to go over the pages and fix all the mistakes but she said, "No, Charlie, Dr. Nemur wants them just as they are. That's why he let you keep them after they were photostated, to see your own progress. You're coming along fast, Charlie."That made me feel good. After the lesson, I went down and played with Algernon. We don't race anymore.What evidence from the passages shows that Charlies intelligence is increasing? Check all that apply.He says he has learned punctuation.His spelling has improved.He does not get along with Miss Kinnian any more.He does not race Algernon any more.Dr. Nemur does not want him to change the reports What about Walmart's business strategy is effective and unique? Jessica uses 9.6 pints of blue paint and white paint to paint her bedroom walls 4/5 of this amount is blue paint in the rest as white paint how many pints of white paint did she use to paint her bedroom walls express your answer in fraction form WRONG ANSWERS AND PLAGIARIZED ANSWERS WILL BE REPORTED.. IF YOU COPY FROM ANY SITE, YOU WILL BE REPORTED. Give a detailed explanation. What was Hamiltons interpretation of the Constitution? Im not really sure how to do these problems. Adding a BLANK to the text would best help readers understand important details about the sculpture in this excerpt 9. Which of the following statements is true regarding DNA. There MAY be more than one correct answer.A. All DNA is used to code for proteins B. All cells in a single organism contain the exact same DNAC. DNA makes RNA which makes proteins D. DNA is single strandedE. RNA contains Uracil List 3 behaviors that you can begin today that will help you develop a good habit. What is the diameter of a sphere with a volume of 6329\text{ ft}^3,6329 ft 3 , to the nearest tenth of a foot? future tense of the verb 'run' Find the minimum value of the parabola y = x2 + 4x. Meera has been visiting banks all day trying to find the best compound interest rate for her savings account. The banks have decided that instead of telling her their rate, they are going to give her the equation that will calculate her current balance after t years. Below are the equations each bank gave to Meera, where f(t) is the balance after t years and P is the principal amount to be placed in the savings account. Select the equation of the bank that has the greatest compound interest rate. Select one: A. f(t) = P(1.07)t B. f(t)= P(1.03)2t C. f(t) = P(1.02)4t D. f(t) = P(0.90)t Cole buys nine movie tickets. adult tickets cost $13 and childrens tickets cost $7.50. if he spent a total of $78.50. How many children tickets did he buy? Use sigma notation to represent the sum of the first six terms of the following sequence: 10, 13, 16, Which of these numbers is between 2 and 3 on the number line?A. 4B. 3O c.-2D. - 5 Jason and his friend are playing a game with a spinner that has four sections: black, white,pink, and blue. They record their results in this table. Match the relative frequencies to the correct outcomes. Give an example on how an individual can influence government.