The measure of the supplement of an angle exceeds 3 times the measure of the complement of the angle by 10. Find the measure of the complement.

Answers

Answer 1

Step-by-step explanation:

Let the angle be x.

Let the supplement of the angle = 180 - x

Let the complement of the angle = 90 - x

Now, According to our assumption we can set up an equation :

➵ (180 - x) - 3(90 - x) = 10

➵ 180 - x - 270 + 3x = 10

➵ 2x - 270 = 10 - 180

➵ 2x - 270 = -170

➵ 2x = -170 + 270

➵ 2x = 100

➵ x = 100/2

➵ x = 50

Therefore,

The angle = x = 50°

The supplement of the angle = 180-x = 180 - 50 = 130°

The complement of the angle = 90 - x = 90 - 50 = 40°

Related Questions

The sum of two consecutive odd numbers is 72. Find the numbers

Answers

Answer:

Step-by-step explanation:

(2n - 1) and (2n + 1) So, 2n -1 + 2n + 1 = 72. 4n = 72.

n = 18. So, The odd numbers are.

(2n - 1) = ((2 x 18) - 1) = 35. and,

(2n + 1) = ((2 x 18) + 1) = 37.

Step-by-step explanation:

select from the drop - down menus to correctly complete each statement


in a flowchart proof, _____ and ______ are connected with arrows ?



Answers

In a flowchart proof, statements and conclusions are connected with arrows.

In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.

As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.

See the diagram below.

Side note: the box on the left is also considered the antecedent because it comes before the conclusion.

Which of the following ordered pairs lies on the graph of h(x) = -2x2?

Answers

(1,-4)

:) Hope this helps and have a wonderful day!`

19. Roof trusses often use right triangles to make a flimsy 2 x 4 more rigid to hold up the weight of the roof. If a
house is 40 feet wide and the roof is an isosceles triangle with base angles of 30, how far is it from the
bottom edge of the roof to the peak?
(Answer is radical form please!!!)

Answers

Answer:

8

Step-by-step explanation:

I need help, please.

Answers

Answer: A
16x^2 - 56xy + 49y^2
4^2x^2 - 2 • 4x • 7y + 7^2y^2
(4x)^2 - 2 • 4x • 7y + (7y)^2
=(4x-7y)^2

Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22. Solve for x

Answers

Answer:

         x = 35

Step-by-step explanation:

If points A, B, and C are collinear and point B is the midpoint of AC then

AB = BC

12x - 398 = 22

   + 398      + 398

 12x  =  420

  ÷12    ÷12  

  x = 35

the time is 10 ; 34 what time will it be in 285 minutes

Answers

3:19 is your answer aaaaaa

Write the equation g(x) of the transformation of the parent graph f(x) = |x| translated right 5 units.

Answers

Answer:

g(x) = |x-5|

Step-by-step explanation:

f(x) = |x|

y = f(x + C)  C < 0 moves it right

g(x) = |x-5| moves it to the right 5 units

We start off with: f(x) = |x|

c < 0 means move right

y = f(x + c)

Move 5 units to the right

After: g(x) = |x - 5|

Best of Luck!

which grows faster linear or exponential

Answers

exponential graphs grow faster

is 5832 composite prime even odd

Answers

Answer:

it is an even composite of number

Hello there!

5832 is composite and even

If a number's last digit is 2, 4, 6, 8, or 0 or 5, then the number is composite.

If a number's last digit is 2, 4, 6, 8 or 0, then the number is even.

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

J = -h+b


Solve for B

Answers

B=j+h
Hope this helps :)

Answer:

See Below

Step-by-step explanation:

Isolate B

Soo add h to both sides

J = -h +b

+h +h

J + h = b

or

b = j + h

Evaluate 0 × |-6|. ......

Answers

Answer:

0

Step-by-step explanation:

Any value multiplied by zero equals zero , thus

0 × | - 6 | = 0

The 0 × 6 equals 0.

To evaluate the expression 0 × |-6|, to determine the absolute value of -6, which is 6 since the absolute value of a negative number is its positive counterpart. Next, we multiply 0 by 6.

When  multiply any number by zero, the result is always zero. This is because zero represents the absence of quantity or value. Therefore, regardless of the value multiply by zero, the product will be zero. multiplying 0 by 6 yields zero as the final result. So, 0 × |-6| equals 0. This is because no matter the value of |-6|, the presence of a zero factor makes the overall product zero.

To know more about equals here

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Dominic is making meatballs. He uses 3/4 cup of breadcrumbs for every 1 1/4 pounds of ground beef. How many cups of breadcrumbs does he need when he uses 1 3/4 pound of ground beef? Show your work.​

Answers

Answer:

1 1/20

Step-by-step explanation:

¾ / 1 ¼= ¾ / 5/4= ¾ x ⅘ = 12/ 20= ⅗  

⅗ x 1 ¾ = ⅗ x 7/4 = 21/20= 1 1/20

Domonic needs 1 1/20 cups of breadcrumbs when he uses 1 ¾ pounds of ground beef.

[tex]$1 \frac{3}{4}[/tex] pound of ground beef requires [tex]$1 \frac{1}{20}[/tex]  cup of breadcrumbs.

We have Dominic who uses 3/4 cup of breadcrumbs for every 1 1/4 pounds of ground beef.

We have to determine how many cups of breadcrumbs does he need when he uses 1 3/4 pound of ground beef.

If you solve 5 questions of mathematics in 2 hours. Then how many questions you will solve in 6 hours ?

You will solve -  5 x [tex]$\frac{6}{2}[/tex] = 15 questions.

According to the question, we have -

[tex]$\frac{3}{4}[/tex] cup of breadcrumbs for → [tex]$1\frac{1}{4}[/tex]  =  [tex]$\frac{5}{4}[/tex] pounds of ground beef.

1 cup of breadcrumbs for → [tex]$\frac{\frac{5}{4} }{\frac{3}{4} }[/tex] =  [tex]$\frac{5}{3}[/tex]  pounds of ground beef.

This means -

[tex]$\frac{5}{3}[/tex] pounds of ground beef requires → 1 cup of breadcrumbs.

1 pound of ground beef requires → [tex]$\frac{3}{5}[/tex] cup of breadcrumbs.

[tex]$1\frac{3}{4} =\frac{7}{4}[/tex]  pounds of ground beef requires → [tex]$\frac{3}{5}\times \frac{7}{4} =\frac{21}{20} =1 \frac{1}{20}[/tex]  cup of breadcrumbs.

Hence, [tex]$1 \frac{3}{4}[/tex] pound of ground beef requires [tex]$1 \frac{1}{20}[/tex]  cup of breadcrumbs.

To solve more questions on Quantity estimation, visit the link below-

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Big D decided to lose a few pounds and began
training for a triathlon. At first, he began
walking and eating a cheeseburger but soon
realized that wouldn't work too well. Months
went by and he built up his endurance so that
over the course of one particular week, he ran
seven times as much as he swam and biked
three times as far as he ran. At the end of the
week he realized he went a total of 232 miles!
How many miles did Big D train for each for the
week?

Answers

Answer:

NO

Step-by-step explanation:

graph the inequality -5 < x < 1

Answers

Answer:

B

Step-by-step explanation:

Open circle represents < and >

Since -5 is less than x, that is the starting point.

1 is greater than x, that is the end point.

Best of Luck!

Enid, Eddie, and Tamara have formed a partnership. The total investment was $250,000. Enid
owns 17.5% and Eddie owns 36.8% of the partnership. How much money did Tamara invest?

Answers

Answer:

114,250

Step-by-step explanation:

Enid invested 43,750

Eddie invested 92,000

the difference is 114,250

Umm I don’t understand this question

Answers

Step-by-step explanation:

Hey there!!

Given,

[tex] \frac{24}{28} [/tex]

We generally divide the fraction from smallest prime number if they are divisible and make it in a simplest form.

So, let's work with it.

[tex] = \frac{24}{28} [/tex]

Divide it by 2.

=[tex] \frac{12}{14} [/tex]

See, it's again divisible by 2, so again divide it by 2.

=[tex] \frac{6}{7} [/tex]

Now, here 6 can be divided by 2, 3 but 7 can't be divided, as it is a prime number.

So, the answer is option D.

Hope it helps...

Where x=-7 what does y=?

Answers

Answer:The "+7" indicates that there will be a y-intercept at 7. Therefore, you can plot a point at (0,7).

if a is a rational number and b is a rational why could c be an irrational number

Answers

Answer:

Let a be a rational number and b be an irrational number. b = c - a, which means that b is rational. ... Since an irrational number cannot equal a rational number.

Step-by-step explanation:

PLZ MARK BRAINLIEST

The answer is that an irrational number cannot equal a rational number.

What is an irrational number?

Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers.

Let a be a rational number and b be an irrational number. b = c - a, which means that b is rational. Since an irrational number cannot equal a rational number.

Therefore an answer is that an irrational number cannot equal a rational number.

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SIMPLE GEOMETRY QUESTION WORTH 13 POINTS!!! EASY EARNED POINTS!!! ANSWER ASAP!

Answers

Answer:

90°

Step-by-step explanation:

If E=F, and E is the complement to F, they must both be 45 degrees.

2x45=90

180-90=90

90 degrees is the answer

The answer is 90 degrees

Which expression is equivalent to x6 – 9? This polynomial is an example of a ?

Answers

Answer:

difference of squares

Step-by-step explanation:

Answer:

Difference of Squares

Step-by-step explanation:

How do I solve 25-+3? Step by step

Answers

Answer:

-22

Step-by-step explanation:

When you add a negative to positive the negative number gets bigger

hop this helps you ;)

pls mark brainlest :)

Answer:

22

Step-by-step explanation:

basically a - and a + together equals a - so it will be 25-3 which is 22

note:

- and + = -

+ and - = -

+ and + = +

- and - = -

HOPE THIS HELPS YOU :)

The price of an item is $6.15. You want to buy two of the items and give the cashier a $10 and a $5 bill. What is the change?

Answers

Answer:the answer is

$2.7

Step-by-step explanation:

Answer: The answer is 2 dollars and 70 cents

Step-by-step explanation: if you add 6.15 and 6.15 it equals 12.30 and then if you subtract 15.00 and 12.30 it equals 2.70

Solve using the standard algorithm
1.03 +0.08

Answers

Answer:

1.11

Step-by-step explanation:

1.03+0.08=1.11

Brett decides to order some new books using a $50 gift card he received for his birthday. He decides to buy as many of a new series of books he can without exceeding the amount on his gift card. If each book cost $12.99 and shipping charges are $7.99 for any size order, what is the maximum number of books that Brett can purchase?

Answers

the correct answer is 3

Solve the linear equation by
combining like terms:
32 – 8 + 3x = 7x

Answers

Answer:

x=6

Step-by-step explanation:

I hope this helps you

Answer:

32-8 + 3x = 7x

24 + 3x = 7x

Then subtract the 3x and move it to the other side

24 = 4x

Then divide both side by 4

24/4 = 4x/4

The answer is

x = 6

Line r cuts parallel lines p and q as shown in the figure.Angles E and g are ____ to each other because they are _____ angles.
A and G can either be congruent, not congruent, or supplementary
And they can either be adjacent, corresponding, or vertical angles

Answers

Angled E and G are congruent because they are vertical angles

PLEASE MARK BRAINLIEST

Answer:

congruent and vertical

I TOOK THE TEST AND GOT A 100

Back Next
✓ Check
Question 1
Caroline said the absolute value of -25 is 25. Is she correct? Explain.

Answers

Answer:

lolllll

Step-by-step explanation:

in a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in the test, (i) how many questions did she answer correctly out of the first 40 questions? (ii) how many questions should she answer correctly out of the 90 questions? (iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?​

Answers

Answer:

total question =90

she obtained 75% of first 40 questions

No. of question she got correct in first 40 = 75% * 40 = 30

2. in order to get 80% out of 90,

the no. of questions got correct by Ama = 80% * 90 = 72

3. As she already got 30 c0rrect in first 40 questions, the number of question she needs correct for remaining 50 = (72-30) = 42

percentage = 42/50*100% = 84%

The number of questions answered correctly on the first 40 questions  is 30.

The questions answered correctly of the 90 questions is 72.

The percentage answered correctly on the last 50 questions is 84%.

How many questions were answered correctly?

Percentage can be described as a fraction of an amount expressed as a number out of hundred.

Number of questions answered correctly on the first 40 questions: 40 x 0.75 = 30

Questions answered correctly of the 90 questions: 90 x 0.8 = 72

Number of questions gotten correctly on the last 50 questions: (0.8 x 90)  30 = 42

Percentage = 42/50 x 100 = 84%

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The side lengths of a rectangle are described as (8x+1) feet and (3x−2) feet. Which expression represents the area of the rectangle in square feet?

Answers

Answer:

24x² - 13x -2

Step-by-step explanation:

To get the area of a rectanglenyou have to multiply the length and the width:

(8x+1) (3x−2)

Using Foil Method:

24x² -16x + 3x -2

24x² -13x -2

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