Mathematics Middle School

The sum of the measures of two angles is 180°.
One angle measures 3a and the other angle measures 2a - 25 Find a. Then find the measure of each angle.

Answers

Answer 1
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Answer 2
so first make an equation

180 = 3a + 2a - 25
combine like terms
180 = 5a - 25
add 25 to both sides
205 = 5a
divide both sides by 5
41 = a

now substitute 41 into the two angles
3(41) = 123
2(41) - 25 = 82 - 25 = 57

so one angle is 123 degrees
the other angle is 57 degrees

to check it, just add 123 + 57 = 180
yep! its correct

i hope this helps!!

Related Questions

Answers plssssssssss ‼️‼️‼️

Answers

2. 200 meters per minute
4. 5 miles per minute
5. 9 degrees per day
6. 10 books per month
7. 29 gallons per hour
8. 54 miles per hour
9. 7 calls per day
10. 50 feet per second
11. 6 laps per minute
12. 15 dollars per hour

Hope this helps

180 is the LCM of 12 and what?

Answers

To get the other number

divide 12 from 180

180/12 = 15

The LCM is 12 and 15

hope this helps
It’s 90 because you can’t divide 90 by 12 evenly so you would go to the next multiple of 90 which would be 180 and 12 can go into 180 evenly making 180 the LCM

If it were 15 like the other person said the LCM would be 60

what is the angle of n

Answers

Answer: 81 degrees

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Explanation:

The top and bottom lines are parallel as indicated by the same arrow markings on the lines. 

Because they are parallel, this makes the angle x (see attached image) congruent to the 44 degree angle. They are alternate interior angles. So x = 44. 

Using x = 44, we can find the angle y. Use the fact that all three angles of a triangle add to 180 degrees. We'll focus on the top triangle.

x+y+37 = 180
44+y+37 = 180 ... replace x with 44
y+44+37 = 180
y+81 = 180
y+81-81 = 180-81
y = 99

The last step we do is use this y value to find the value of n. Notice how the angle n and angle y combine to form a straight angle (aka straight line). So they add to 180 degrees

n+y = 180
n+99 = 180 ... replace y with 99
n+99-99 = 180-99
n = 81
which is the final answer

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

Side Note: you can ignore the value of y if you want. Using the remote interior angle theorem, we add up the remote interior angles for the top triangle to get
x+37 = 44+37 = 81
which is the answer we got earlier. 

The mean of four numbers is 30 are 12,50 and 48 what is the fourth number.a)129 b) 10 c) 12 d)30

Answers

10 is the answer.
You  know that there are 4 numbers and you have to add the numbers then divide them by four to get the mean. So all you have to do is reverse the steps, multiply 30 by 4 to get 120, then add 12+50+48 to get 110. Then subtract, 120-110=10. To check if it is correct add 12, 50, 48, and 10 to get 120, then divide by 4 to get 30. And voila, there is the answer. I hope this helped for future problems like this one.

Wallace received a 28 percent discount on an item priced at $275. What is the total price that he paid for it?

Answers

28% = 0.28

 multiply:

275 * 0.28 = 77 ( discount

 now subtract:

275 - 77 = 198 ( price after discount )

Tell me how to do this

Answers

Divide each cost over the number of bottles

For the 6-pack, we have
3.79 dollars divided by 6 = 3.79/6 = 0.6317 which rounds to 0.63

So we pay $0.63 per bottle or 63 cents per bottle

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

For the 9-pack, we have
4.50 dollars divided by 9 = 4.50/9 = 0.50

meaning we pay $0.50 per bottle or 50 cents per bottle
-------------------------------------

For the 12-pack, we have
6.89 dollars divided by 12 = 6.89/12 = 0.57416 which rounds to 0.57

So we pay $0.57 per bottle or 57 cents per bottle
-------------------------------------

In summary we have
The 6-pack costing 63 cents per bottle
The 9-pack costing 50 cents per bottle
The 12-pack costing 57 cents per bottle

The lowest per bottle cost is 50 cents per bottle, which is for the 9-pack

The 9-pack is the best deal of the three deals. 

Philip had $674.31 in his student lunch account at the beginning of the school year.by the end of the school year, he had spent $782.75 on lunches. What was the balance in Philips lunch account at the end of the school year?







Answers

$-108.44. Hope this helped

Answer:

-108.44

Step-by-step explanation: this is the answer

63 is 90% of what number using number lines

Answers

Well, the answer is 70 but, I don't know how to find it using a number line. Hope I could help!
First of all make a number line by dividing the line into 10 equal sections. You could make a line 10cm long divided into 1cm divisions or boxes. Now mark off the 9cm position. That’s 90%. Next write the number 63 over all 9 sections. Each section represents 63/9=7. So the last section must also be 7. When we add 7 to 63 we get 70. So since the 10cm line represents 100%, 70 must be 100%. That is the answer using a number line.

The negative sign can be read as "the opposite of."

Answers

If this is a True or False question, that is true.
The correct answer is True. Because negative represents/reads as the opposite.

Norma spent $13.25 on school supplies. She bought 3 binders that cost $3.75 each and some paper. Which equation could be used to figure out the cost of the paper? A. 13.25 = 3.75 + n B. 13.25 = 3.75 – n C. 13.25 = 3 × 3.75 + n D. 13.25 = 3 × (3.75 + n) i suck at math ;-;

Answers

i believe the answer is C,  13.25 = 3 x 3.75 + n 
since she bought 3 binders that cost $3.75 each, it's 3.75 x 3. add that to n, the cost of the paper, and you have the total amount Norma spent, $13.25
I think it’s c. Or D

xp+yp=z. (ignore the period, any answers)

Answers

xp + yp = z

You are solving for p :)

So, in order to find the value of p, you must get p to it's own side, and isolate it.

Since there are two "p's," you could change "xp + yp" to "p(x + y).

p(x + y) = z

Then, we must divide both sides by x + y

p(x + y) ÷ x + y = z ÷ x + y

Simplify.

p = z/x + y

[tex]p = \frac{z}{x+y} [/tex]\

~Hope I helped!~

1/8 divided by 3/4 please help

Answers

1/8 divided by 3/4 is (1/8) / (3/4). When you divide fractions, you flip the 2nd number and change the divide into multiply. So (1/8)*(4/3). Multiply top by top and bottom by bottom to get 4/24. That simplifies to 1/6
1/6 Hoped I helped ;)

What is the value of 2xy if x = 5 and y = 6?

Answers

2(5x6)
2(30)
60
hope this helped :)
2 x 5 x 6 = 60
The answer is: 60.
HOPE THIS HELPS!

PLEAS HELP WITH MATH!!!!!!!!!!!!!!
Solve for z. z−4/9−1/3=5/9 Enter your answer in the box.
z=

Answers

z - 7/9 = 5/9
z = 5/9 + 7/9
z = 4/3

Answer: z = 4/3.

Evaluate the expression 40÷1+3-(3×7)+7-5

Answers

For this problem, you will have to use PEMDAS  (Parentheses) (Exponents) (Multiplication/Division) (Addition/Subtraction)

First of all, you will want to solve for the values inside the parentheses first

40 ÷ 1+3-(21)+7-5      Now check for anything that includes                                                                   multiplication/division and do that

40+3-21+7-5              All you have left now is addition and subtraction. It                                           must go from left to right, therefore if addition is first,                                       do addition, if subtraction is first, then do subtraction.

Final answer = 24
You need to use PEDMAS for this.


40/1=3-(3 times 7) + 7-5

First the parenthesis. 

(3 times 7 is 21 )

40/1+3-(21)+7-5

Next is exponents but there are none so move on to division.

40/1 = 40

40+3- (21) + 7-5

Then add and subtraction from left to right.

40+3=43

43- 21 + 7-5

43-21 is 22.

22+7-5

7-5 is 2

22+2 is 24

24 is the answer! :)



Of 350 students polled, some have a cat, some have a dog, and some have both. One hundred seventy-five students have a cat and 140 have both types of pets. How many students have a dog only? Explain.

I believe the answer was:
175; Since 175 have a cat or a cat and dog, then the number that have a dog only is 350 − 175 = 175.

But I just needed to check

Answers

Total students 350
350- 175 cats= 175
175 - 140 both pets = 35 dog only students

I guess

In the expression 6pq+8p-6r, what is the coefficient of the term 6pq?

Answers

I believe the answer is 6
A coefficient is the number directly in front of the letters. For example,
the coefficient of 8p is 8. They isolated the coefficient to just one term.

A Term is a small group of whole equation. for example, the terms in this problem would be 6pq, 8p, and -6r.
A constant is a number by itself, so with no number behind it.
A variable is the letter. So in 8p, p is the variable.

All of this is just to give you a deeper understanding for when the problems will require more from you.
If you haven't guessed by now, the final answer is 6.

The Burmese python can be anywhere from 16 to 23 feet long what is the difference in length in inches between the longest and shortest Burmese python

Answers

84 inches
23-16=7 feet
7 feet×12=84


12a + 12b + 12c + 12d

Michael writes the expression shown here as 12(a + b + c + d). He is correctly using the ___________ property.
A) associative
B) commutative
C) distributive
D) symmetric

Answers

by taking the 12 out of each term, he is using:
C) the distributive property of addition/multiplication

The expression shown here is using the distributive property.

What is distributive property?

The distributive property simply states that multiplication distributed over addition. Multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For the given situation,

The expression is 12a + 12b + 12c + 12d.

The formula for the distributive property is expressed as,

a × (b + c) = (a × b) + (a × c).

Michael writes the expression shown as

⇒ [tex]12a + 12b + 12c + 12d = 12(a + b + c + d)[/tex]

The above expression is of the form of the formula for the distributive property.

Hence we can conclude that the expression shown here is using the distributive property.

Learn more about the distributive property here

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Which expression is equivalent to 4(3x+5y+2z)+3(x-z)
A. 12x+20y+8z
B. 5(3x+4y-z)
C. 15x+20y+5z

Answers

A. 12x+20y+8z...it's a simple distributive property question :)

Final answer:

The expression 4(3x+5y+2z)+3(x-z) is equivalent to 15x+20y+5z.

Explanation:

To simplify the expression 4(3x+5y+2z)+3(x-z), you need to distribute the 4 and 3 to each term inside the parentheses.

When you distribute the 4 and 3, you get 12x+20y+8z+3x-3z. Combine like terms to simplify further, which gives us 15x+20y+5z.

Therefore, the expression 4(3x+5y+2z)+3(x-z) is equivalent to C. 15x+20y+5z.

Solve and round to the nearest hundredth 24.5= -2.5c - 4c

Answers

-3.77 is the answer so yayayayayayayaayyayaayayyaya
Your Problem: 24.5=-2.5c-4c
1st step: Combine like terms
24.5=-6.5c
2nd step: divide both sides by -6.5
-3.769=c
3rd step: Round to the nearest hundredth
c= -3.77

Write the first six terms in the number pattern. Start with 83 and subtract 9 repeatedly.

Answers

83, 74, 65, 56,47,38,29,20,11,2,etc

hope this helps

What is the standard form for Three thousand four hundred and eighty two

Answers

Salutations!

Three thousand four hundred and eighty two in a numeral number >>> [tex]3,482[/tex]

To convert into a standard form, you need to move the point backwards till 4.

Standard form = [tex]3.482*10^{3}[/tex]

Hope I helped (:

Have a great day!
the answer is 3,482.

a dog has 12 puppies,one half of them have yellow furs,how many puppies have yellow furs?

Answers

Half of 12 is 6, so half of 12 puppies is 6 puppies.

Answer: 6 puppies have yellow furs. 
the half of them must be 12/2 =  6 puppies have  yellow furs

Aspen added 14 to the product of 224 and 16. What is the sum?

Answers

Answer:

Required sum in the given problem is 3598.

Step-by-step explanation:

Given phrase,

Sum of 14 and the product of 224 and 16,

∵ Product of 224 and 16 = [tex]224\times 16 = 3584[/tex],

Also, Sum of 14 and 3584 = [tex]14 + 3584 = 3598[/tex],

Hence, the sum of 14 and the product of 224 and 16 would be 3598.

We have that The sum from the Statement "Aspen added 14 to the product of 224 and 16" is

[tex]x=3598[/tex]

From the question we are told that

Aspen added 14 to the product of 224 and 16

Generally the equation for the Statement "Aspen added 14 to the product of 224 and 16" is mathematically given as

[tex]14+(224*16)=x[/tex]

[tex]x=3598[/tex]

Therefore

The sum from the Statement "Aspen added 14 to the product of 224 and 16" is

[tex]x=3598[/tex]

For more information on this visit

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multiply using expanded form 5 ×923

Answers

4,000+600+10+5 or 4,615
The answer is 4,615 because when you multiply

5x900= 4500
5x20= 100
5x3= 15
4,500+100+15= 4,615

Balance the equation

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2As + 6NaOH ----> 2Na3AsO3 + 3H2

Mr. Gomez paid a total of $267 for the repairs on his car. The cost of the labor was two thirds of the total charge. Find the charge for labor

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here is one way I learned from teacher take 267 and ÷ by 3 and there are three part and if you do it right you might have a left over so and take one of those three ÷ and see how much you have left and × it by 2

What is 0.02 written as a decimal

Answers

0.02% as a decimal
0.0002

The fractions 1/50 or 2/100 are written as a decimal 0.02.

We have,

Expression:

0.02

This can be written in fraction form as,

= 002/100

= 2/100

Simplify the fraction.

2/100

= 2/(2 x 50)

= 1/50

Thus,

The fractions 1/50 or 2/100 are written as a decimal 0.02.

Learn more about expressions here:

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11. The preferred overall competition area in judo, including the mats, is a square with an area of 256 m2.
a) How do you know that the length and width of the competition area are between 10 m and 20 m?
b) What are the possible last digits of the dimensions if the side lengths are whole numbers? c)
Use your answers to parts (a) and (b) to predict the dimensions.

Answers

a) We know that the correct answer will be the square root of 256 since the competition area is a square with an area of 256 meters. And since 10^2 = 100 which is less than 256, the answer has to be greater than 10. And since 20^2 = 400 which is greater than 256, the answer also has to be less than 20. Therefore the answer has to be between 10 and 20. b) The last digit has to be either a 4 or a 6. The units digit is the only digit that will contribute to the units digit of the square. And 0^2 = 0, 1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2 = 36, 7^2 = 49, 8^2 = 64, 9^2 = 81. Of the 10 possible digits, only the values 4 and 6 have a square that has an units digit of 6. c) The square root of 256 based up (a) and (b) above has to be either 14, or 16. So the dimensions are either 14x14 meters or 16x16 meters.
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