An angle measures 48.4° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer 1

Answer:

65.8° and 114.2°

Step-by-step explanation:

Suplementary angles sum 180°

then:

a + b = 180°   eq 1

a = b - 48.4     eq 2

replacing the value of eq 2 in eq 1:

(b-48.4) + b = 180°

2b - 48.4 = 180°

2b = 180 + 48.4

2b = 228.4

b = 114.2°

from the eq. 1

a = b - 48.4

a = 114.2 - 48.4

a = 65.8°

Check:

114.2° + 65.8° = 180°


Related Questions

What are the solutions of the inequality?
-4(-2x+3) > 8x – 14
can someone explain why it’s infinitely many solutions?

Answers

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

I just need some points

You are traveling to Sacramento, CA from Los Angeles, about 375 miles by train. If the train travels an average speed of 30 mph, how long will it take to reach Sacramento?​

Answers

Answer:

12.5 hours

Step-by-step explanation:

divide 375 by 30 and you get how many hours it would take

12.5

Simplify 6° = 63

O A. 126

O B. 66

O C. 6-6

O D. 63

Answers

Answer:

i think its c 6-6 so good luck

Rearranging formula
18
4 friends weigh themselves. Bert is 20kg heavier then Arlo. Cassie is 5 kg lighter then Bert and Donnie is half of Berts weight. If their average weight is 57kg how much does Arlo weigh?

Answers

Answer:

Arlo's weight = 52.3 kg

Explanation:

Let Arlo be "x"

Then,

Arlo = x

Bert = x+20 (Because Bert is 20 heavier than Arlo)

Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)

Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)

Average = 57

Step by step Calculations:

57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex]  (The whole divided by 4 because the total people is 4)

57*4   =  x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]

228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]

228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]

193 -3x = [tex]\frac{x+20}{2}[/tex]

2(193 - 3x) = x + 20

386 - 6x = x + 20

386 - 20 = x + 6x

366 = 7x

x = [tex]\frac{366}{7}[/tex]

x = 52.3 kg (corrected to 3 significant figures)

Therefore Arlo's weight is 52.3 kg

What is the value of b if (3 + i) and (3 - i) are complex roots of 2x² + bx + 20 = 0?

A. -12
B. -6
C. 6
D. 10

Answers

A is the answer Bc I did this before and my teacher said I did an excellent job!

The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 miles, how many miles can be driven on 18 gallons of gas?

Answers

Answer:

3672

Step-by-step explanation:

If  8 gallons of gas were used to drive 204 miles  multiply  18x204=3,672 miles

The car be driven 459 miles on 18 gallons of gas.

What is linear proportionality?

A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.

Given,

8 gallons of gas is used to drive 204 miles.

Also, the number of miles driven varies directly with the number of gallons of gas used.

Therefore, (number of miles)/18 = 204/8

                    number of miles = 18 × (204/8)

                                                = 18 × 25.5

                                                = 459 miles

Hence, the car be driven 459 miles on 18 gallons of gas.

To learn more about proportionality visit:

https://brainly.com/question/2548537

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Answers

Answer: J. Five Ones.

4+6x=-3+7x

please helppp it’s due tmr

Answers

Answer:

x is equal to seven.

Step-by-step explanation:

To solve this you can move like terms to each side, then divide both sides by the coefficient of x:

4 + 6x = -3 + 7x

6x -7x = -3 - 4

-x = -7

x = 7


2. Name two lines in the diagram.
1)JK, LB
2)MA,JD
3)KC, DA
4)MI,EF

Answers

Answer:

answer is third option KC,DA

rewrite in simplest terms −6(−0.8w−0.8)+3(−0.9w−0.3)

Answers

(4.8w+4.8)+(2.7w+2.7)

Answer:

2.1w + 3.9

Step-by-step explanation:

Write an equation and solve for x.

Answers

That's the final Answer, and don't worry about the answer in point form. I worked it out correctly. All steps followed;

angles in a triangle add up to 180°

PLSSSSSSSS HELP MEEEEE ITS DUE SOON

Answers

Answer: A = w/p

Step-by-step explanation:

A = w/p


Convert 60 inches to feet. There are 12 inches in a foot

Answers

Answer:

60/12= 5

5 feet

Answer:

5 feet

Step-by-step explanation:

Divide the length value (inches) by 12.

Carlotta has a blue sweater, a red sweater, a pink sweater, and a white sweater. She also has a pair of black pants
and a pair of brown pants. Which of the following shows how many different ways she can wear a sweater and pair of
pants together?


!!!!!!WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

The answer is D.

Step-by-step explanation:

The answer is c I think

please help i need to raise my grade

Answers

Answer:

use brainly

Step-by-step explanation:

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years

Answers

Answer:

2099

Step-by-step explanation:

The formula for Exponential Decrease is given as:

P(t) = Po × e ^-rt

Where

r = Decrease rate = 3.5% = 0.035

t = time in years = 5 years

Po = Initial population = 2500

P(t) = Current Population after t years

Hence:

P(t) = 2500 × e^ -(5 × 0.035)

P(t) = 2500 × e^-0.175

P(t) = 2098.6425519

Approximately = 2099

The population of the town after 5 years = 2099

(12) Find the value of x. The diagram is not to scale.

Answers

Answer:

c = 64

Step-by-step explanation:

please help, I’ll give brainliest

Answers

It might be efd if that’s an option

Please help, this is called Writing Equations

Answers

D. 0.50w + 17 = 53.50

Which number is a reasonable estimate for 637x35?

Answers

Answer:

20,000

Step-by-step explanation:

if you multiply those numbers you get 22,295 which rounds to 20,000

Estimate:

26k

Out of the answer choices you commented on another answer, that's the one I chose.

Michelle bought a computer that was 25% off the regular price of $980. If a 6% sales tax was added to the cost of the computer, what was the total price Michelle paid for the computer? A. $735.00 B. $779.10 C. $793.80 D. $1,298.50

Answers

Answer:

It fairly simple the answer is B

Please I need help!!
Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. How many gallons of pure alcohol should he add?

Answers

Answer:

2 gallons

Step-by-step explanation:

25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.

Two gallons of pure alcohol should he add to make hand sanitizer that contains 50% alcohol.

Percentage:

Given that, 4 gallons of hand sanitizer that contains 25% alcohol.

25% of 4 gallons is 1 gallons. It means that out of 4 gallons, 1 gallon are pure alcohol and 3 gallons are non- alcohol.

We have to make a hand sanitizer that contains 50% alcohol.So that, when we add 2 gallons of alcohol in the 4 gallons of hand sanitizer.

Then,  that hand sanitizer that contains 50% alcohol.

Learn more about the percentage here:

https://brainly.com/question/19247356

4^3 + (-2) ^4 = ?
evaluate?

Answers

Answer:

80

Step-by-step explanation:

PEMDAS- do exponents first here, simplifying that to 64+16, add those to get 80.

please help. i stayed up all night finishing this schoolwork i need help pleaseee please omg im begging someone to help me

Answers

Answer: Choice D) [tex]x = a\left(1-\frac{y}{b}\right)[/tex]

================================================

Work Shown:

[tex]\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\[/tex]

Explanation:

First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.

Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?

Answers

Guddyfivkgjgufitougufug

If Marisa saved for 10 weeks, how
much money would she have now?

Answers

Answer:

125

Step-by-step explanation:

10*10=100+25=125


Please help me. I need a step by step explanation.

Answers

Answer:

u can make me branliyest then i will help u

Step-by-step explanation:

Answer:

Answer for the first part: x = 0 so f(x) = 4

Answer for the second part: f(-2) = 2

Step-by-step explanation:

In order to solve the first prat of the problem you will just have to find a point on the function that has a y coridnate of 4, and the x cordinate of the exactly the same point will be the answer to your question. So in our case there is only one point like that and it (0,4). So that means the value of x for whcih f(x) = 4 is x = 0.

Now in order to answer the second part of this problem you will just have to find on a function with the x coridnate being -2, and the y cordinate of the exactly the same point will be the answer. In our case there is only one point liket aht and it is the point (-2,2). So that means taht the answer to the second part of the problem is f(-2) = 2.

i need help for math. if someone could explain each of these it would help!

Answers

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Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3

Answers

Answer:

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Step-by-step explanation:

Least Common Multiple

We are given the polynomials

[tex]5m^7+ 35m^6+50m^5[/tex]

[tex]-20m^5-80m^4+100m^3[/tex]

Find the common factors of each polynomial, first the coefficients:

5 = 5

35 = 5*7

50 = 5*5*2

The common factor with the least exponent; 5

Now for the variables:

[tex]m^7, m^6, m^5[/tex]

The common factor with the least exponent; m^5

LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]

Similarly:

20 = 2*2*5

80=2*2*2*2*5

100 = 2*2*5*5

Common factor of the coefficients: 2*2*5=20

Common factor of variables: [tex]m^3[/tex]

LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

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