The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer 1

Answer:

160°

Step-by-step explanation:

Let one angle be x

Let second angle be 8x

Sum of supplementary angles = 180°

x+ 8x = 180°

9x = 180

x = 180/9 = 20

First angle= x= 20°

Second angle = 8x = 8*20 = 160°


Related Questions

What single decimal multiplier would
you use to increase by 9% followed by
6% decrease?

Answers

Answer:

1.0246

Step-by-step explanation:

100*1.09 = 109

109*0.94 = 102.46

102.46% = 1.0246

Do you always eat breakfast?
This survey question is bad/biased.
This survey question is good/unbiased.

Answers

Answer:

unbias

Step-by-step explanation:

Not asking specific group or person.

This survey question is bad/biased., This survey question is good/unbiased. This survey question is bad/biased. Option A is correct.

A survey is a method of gathering information or data from a group of individuals to understand their opinions, attitudes, behaviors, or characteristics. Surveys typically involve asking questions to a sample of people and collecting their responses.

The quality of a survey question is important to ensure that the data collected is accurate, reliable, and unbiased. A good survey question should be clear, concise, and neutral, avoiding any potential bias or leading the respondent to a particular answer.

In the case of the question "Do you always eat breakfast?", it can be considered a bad or biased survey question because it assumes that the respondent either always eats breakfast or does not. It doesn't provide options or consider other possibilities such as occasionally skipping breakfast or having different breakfast habits on different days. This can lead to inaccurate or incomplete responses, limiting the validity and reliability of the data collected.

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A loan of 28,000 is made at 4% interest, compounded annually. After how many years will the amount due reach 48000 or more?

Answers

Answer:

The time is 13.7 years.

Step-by-step explanation:

principal, P = 28000

Rate of interest , R = 4 % annually

Amount, A = 48000

Let the time is t.

Use the formula of the compound interest.

[tex]A = P\times \left ( 1+\frac{r}{100} \right )^t\\\\48000 = 28000\times \left ( 1+\frac{4}{100} \right )^t\\\\1.71 = 1.04^t\\\\log 1.71 = t log 1.04\\\\t =\frac{0.233}{0.017}\\\\t = 13.7 years[/tex]

7x-3=5x+9 solve for x​

Answers

Given :-

7x - 3 = 5x + 9

To Find :-

The value of x.

Solution :-

Taking the given equation ,

=> 7x -3 = 5x + 9

=> 7x - 5x = 9 + 3

=> 2x = 12

=> x = 12 ÷ 2

=> x = 6

Hence the required answer is 2 .

Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.

Answers

Answer:

25 divided by 5 equals 5

it cost 5 dollars per package

Hope This Helps!!!


Write the equation of the line perpendicular to 7y - 35x = 21 that passes through the point (10,-8).

Answers

Answer:

y = -1/5x - 6

Step-by-step explanation:

7y - 35x = 21             7y = 35x + 21           y = 5x + 3

y = -1/5x + b

-8 = -1/5(10) + b

-8 = -2 + b

-6 = b

help and I'll follow you ​

Answers

Answer:

12 nickels and 9 dimes

Step-by-step explanation:

1/ We have: n + d = 21 <=> d = 21 - n or opposite (n = 21 - d)

2/ We have: 0.05n + 0.10d = 1.50 and then we will put 1/ into 2/

=> 0.05n + 0.10(21 - n) = 1.50

=> 0.05n + 2.1 - 0.1n = 1.5

=> -0.05n = -0.6

=> n = 12

Nevertheless, d = 21 - n = 21 - 12 = 9

COS2A+ cos2 A cot2A =cot 2 A

Answers

Answer:

a= (π/4) + (kπ/2)

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

9514 1404 393

Explanation:

This is an identity.

  cos²(A) +cos²(A)cot²(A) = cot²(A)

Transforming the left side, we have ...

  = cos²(A)(1 +cot²(A))

  = cos²(A)csc²(A)

  = (cos(A)/sin(A))²

  = cot²(A)

helppppppppppppp plzzzzz

Answers

the answer is in the picture

Which equation represents a line that passes through (2,-) and has a slope of 3?
Oy-2 = 3(x + 2)
Oy - 3 = 2(x+)
Oy+ 1 = 3(x - 2)
Oy+ < = 2(x-3)
Help?

Answers

Y+1=3(x-2)

Aslop is 3
And it passes through (2,-1)

The equation of the line is y + 1 = 3(x - 2).

The correct option is (3).

What is an equation?

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

The line passes through the point (2, -1)

slope of the given line is 3

By using the slope intercept form of line:

y = mx + c

where m is the slope

c is the y intercept

The line passes through the point (2, -1) so substituting the point in the equation also m = 3

y = 3x + c

-1 = 3(2) + c

c = -7

The equation of the line now can be written as:

y = 3x - 7

y + 1 = 3x - 7 + 1

y + 1 = 3(x - 2)

Hence, the equation of the line is y + 1 = 3(x - 2).

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Given a list of candy in a field called Item and prices called Price on an empty PivotTable, how would you find out how many of each type of candy you have?

Answers

Answer:

Drag Item to both the VALUES and the ROWS area

Step-by-step explanation:

To find out how many of each type of candy you have; Drag Item to both the VALUES and the ROWS area

Answer this please:
I attached a file for you to see

Answers

Answer:

C Infinitely many solutions

Step-by-step explanation:

i think! Good luck!!

Which is the pair of congruent right angles?
A).CAB=DAE
B).CBA=DEA
C).BCA=EDA
D).ACB=ADE

Answers

Answer:

It's C

Step-by-step explanation:

Triangle MNO is isosceles. Find the value of y and the measure of Angle O.

Y=______
Angle O=_______degrees​

Answers

Answer:

y = 14

Angle O is 41 degrees

Step-by-step explanation:

From the question, since we have an isosceles triangle, then the base angles are equal

This means that the angle at M is (4y-15) too

Mathematically, the sum of the angles in a triangle is 180 degrees

Thus;

7y + 4y-15 + 4y-15 = 180

15y-30 = 180

15y = 180+ 30

15y = 210

y = 210/15

y = 14

Angle O is 4y-15

= 4(14) -15 = 56-15 = 41 degrees

Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3 __

2. 4:15 __

3. 3/10__

4. 13/21__

5. 6/16 __

6. 8:11 __

7. 9:20__

8. 11:25__

9. 5/16__

10. 7/12 __

11. 6:13__

12. 4:9__

13. 2:5 __

14. 19/45 __

15. 12/25__

Please make it quick

Answers

Answer:

1h b+h boi gate

Step-by-step explanation:

Math Question: About percentages

Answers

Answer:

$58.8 million

Step-by-step explanation:

43% of x = 25.3 million

.43x = 25300000

x = 25300000 ÷ .43

x = 58837209.30

x = 58.8 million

Somebody please help me!!!

Answers

The person above me is correct

PLEASE HELP! Which of the following ordered pairs is a solution to the given system of equations?

A. (12, 8)

B. (3, 5)

C. (-3, 3)

D. (0, 4)

please don’t use this for points.

Answers

Answer:

A.............

Step-by-step explanation:

. ..........

Answer:

C. (3,3)

Step-by-step explanation:

When These equations are both graphed the solution for these equations when they intersect is (-3,3)

please help! I cant figure this out!

Answers

I think the answer is 104.864 cm^2, hope this helps- brainliest would awesome thanks

determine the period of this function​

Answers

Answer:  C) 6

Explanation:

The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.

Let's start at the top at the left most corner. This point has x coordinate of x = 1.

The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.

Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).

Please help!!
y= 1/2 x + 2
One equation in a system of two linear equations is
shown above. If the system has one solution (x, y),
where x = 2, which of the following could be the
other equation in the system?
A) y = -2x + 4
B) y = -x+ 5
C) y = 2x
D) y = 2x + 1

Answers

Answer:  B) y = -x+ 5

Step-by-step explanation:

If the x-value in the solution (x, y) is 2, then the y-value is:

[tex]y=\frac{1}{2} (2)+2 = \frac{2}{2} +2=1+2=3[/tex]

So the solution coordinate is (2, 3).

Test each of the answer choices to see if whether the y-value is 3 when the x-value is 2. If it's true, then it could be the other equation in the system.

A) y = -2x + 4

[tex]y = -2x + 4\\\y = -2(2) + 4 = -4 + 4 = 0[/tex]

B) y = -x+ 5

[tex]y = -x+ 5\\y = -(2) + 5 = 5 - 2 =3[/tex]

C) y = 2x

[tex]y=2x\\y=2(2)=4[/tex]

D) y = 2x + 1

[tex]y = 2x + 1\\y=2(2)+1=4+1=5[/tex]

Find ten rational numbers between -1 by 5 and 1 by 2 ​

Answers

Answer:

Step-by-step explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

[tex]\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\[/tex]

Now multiply  the numerator  and denominators of the both the numbers by 10.

[tex]\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}[/tex]

YALL I NEED HELP ASAP!!!!! ITS BASIC MATH!!

So i have to multiply and cast out 9s and I know i have the right answer but the casting out 9s part its not falling into place so pls helpppppp

948 x 789 = 747,972

pls help ill brainliest, thnxs, and 5 star rate!!!!! pls

Answers

Answer:

Step-by-step explanation:

948 x 789 = 747,972

2/3 Marks
67 / 138 Marks
If a = -3, find the value of
a) 2a
b) a ^2
c) 3a^2

Answers

Answer:

- 6, 9 and 27

Step-by-step explanation:

Substitute a = - 3 into the expressions and evaluate

(a)

2a = 2(- 3) = - 6

(b)

a² = (- 3)² = 9

(c)

3a² = 3(- 3)² = 3(9) = 27


A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *

Answers

Answer:

80 ft

Step-by-step explanation:

Let the height of the light house be x feet.

[tex] \therefore \: \frac{128}{8} = \frac{x}{5} \\ \\ x = \frac{128 \times 5}{8} \\ \\ x = \frac{640}{8} \\ \\ x = 80 \: feet[/tex]

Someone pleaseee help I’m struggling

Answers

Step-by-step explanation:

(0,5) and (-2,-3)

y=mx+b

find m

[tex] \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - ( - 3)}{0 - ( - 2)} \\ = \frac{8}{2} \\ = 4 \\ [/tex]

m=4

Substitute (0,5) or (-2,-3)

For easy processing substitute : (0,5)

y=4x+b

5=b

y=4x+5 is the answer

Brainliest please~

i need help plzzzz!!!!!! find the area

Answers

Answer:

3

Step-by-step explanation:

Area = 1/4 * √(5(5+2√5)) * a^2

Area ≈387.11

because each bag only covers 150 we need 3 bags

Answer:

area = 387 ft^2

3 bags

Step-by-step explanation:

See the picture below.

The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.

The left figure shows half of the triangle. We need to find h, the height of the triangle.

For a regular pentagon, the measure of each interior angle is

(n - 2)180/5 = 108

Half of the angle is 54 deg.

tan A = opp/adj

tan 54 = h/7.5

h = 7.5 * tan 54

h = 10.32 ft

Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2

The pentagon is made up of 5 larger triangles or 10 half triangles.

Area of pentagon = 10 * 38.7 ft^2

Area of pentagon = 387 ft^2

1 bag is good for 150 ft^2.

387 ft^2/150 ft^2 = 2.6

She needs 2.6 bags, so she must buy 3 bags.

Answer: 3 bags

all of the following equations are equivalent except? -5 (x - 1 ), -5x + 5, 5 - 5x, (5-5) x

Answers

Except the last one (5-5)x

To the nearest penny, what is the price of 3.2 pounds of ham that costs $2.99 per pound?​

Answers

[tex]\begin{array}{ccll} Lbs&\$\\ \cline{1-2} 1&2.99\\ 3.2&x \end{array}\implies \cfrac{1}{3.2}=\cfrac{2.99}{x}\implies x = (3.2)(2.99)\implies \stackrel{\textit{rounded up}}{x = 9.57}[/tex]

what most likely caused the man in the caravan to come to the farmhouse where elisa lived? a.he had lost his dog in the vast,open areas b.he needed to purchase supplies c.the country roads confused him d. he was looking for an adventure

Answers

Answer: A. He had lost his dog in the vast, open areas.

Step-by-step explanation:

The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.

In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.

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