Mathematics Middle School

In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles.

Answers

Answer 1

Answer:

Angle L*; 67.5 degrees

Angle S*; 22.5 degrees

Step-by-step explanation:

Angle L is 3 times bigger than Angle S.

With this information, we can make an equation.

L=3S

Complementary angles add up to 90 degrees.

90 = 3S + S

90 = 4S

22.5

Angle S equals 22.5.

Because Angle L is 3 times bigger than Angle S, we multiply 22.5 by 3.

This gives us 67.5.

Angle L is 67.5 degrees

Angle S is 22.5 degrees

Now, in order to check our work, we add the two angles together.

67.5 + 22.5 = 90

Because they add up to 90 degrees, the complementary angles work with each other meaning that we are correct

*Angle L is the larger angle

**Angle S is the smaller angle

Answer 2

So the meaning of two angles being complimentary simply means that the two angles add up to 90 degrees. Lets call the two angles x and y where x is the smaller angle.
x + y = 90
We also know that y, being the larger angle is 3 times x.
y = 3*x
Given these two we can solve the problem with basic algebra!
x + y =90
x + (3*x) = 90
4*x = 90
x = 90/4
x = 22.5
y = 3 * x
y = 3*(22.5)
y = 67.5

Related Questions

Rosa conducted a survey of 25 students' favorite types of music. The results are shown in the table. Of the 600 students in the whole school, how many would you expect to prefer Pop/Rock?

Answers

Answer:

400

Step-by-step explanation:

400 is the answer
Hope this helps! :)

hellqp plews u will be in the hall of fame if u help

Answers

it’s b, y= ax + b + c

4 4/5 - 2 2/3 I'm really bad at this stuff

Answers

Answer:

2 2/15

Step-by-step explanation:

4 and 12/15 - 2 and 10/15 so it’d be 2 and 2/15

A store sells 20 oz bottles of soda for $1.60 or 12 oz bottles of soda for $1.08. Which one is a better buy? How much would your savings be per bottle of soda?

Answers

Answer:

The second is a better buy by 0.09

Step-by-step explanation:

Answer:

the 12 oz is better because it costs less and youd be saving $0.52 per bottle

Step-by-step explanation:

1. The product of eleven times a number less than 12

A. 11n - 12
B. 12 - 11n
C. 12n - 11
D. 11(n - 12)

2. Solve the following one-step equation

x + 5 = 9

A. x = 9
B. x = -12
C. x = 4
D. x = 12

Answers

Answer: c x= 4 you subtract 5 from 9 to get x

Answer:

1. d ? maybe 2. c

Step-by-step explanation:

If I inch is equal to 2.54
centimeters, 7 inches is
how many centimeters?
A 16.84 centimeters
B 17.78 centimeters
C 16.32 centimeters
D 17.56 centimeters

Answers

Answer:

Step-by-step explanation:

1 inch = 2.54 cm

7 inches = 2.54 * 7

7 inches = 17.78

The answer is B- 17.78 centimeters.

What is the length of a line segment with endpoints (−12, 0) and(6, 0)?

A.6 units

B.12 units

C.16 units

D.18 units

Quickly please

Answers

12 + 6 = 18 units.... takes 12 units to go to (0,0) then 6 more units to go to (6,0)

The answer is mostly D

The area of the trapezoid is 9 square centimeters.

What is the trapezoid's height, h?

h = ______ centimeters.

Answers

Answer:

Height : 3 cm

Step-by-step explanation:

The formula for a trapezoid is

a+b ×height

Rearrange for formula :

[tex]2 \times \frac{area}{ base + base } [/tex]

[tex] 2\frac{9}{ 4 + 2 } = 3cm[/tex]

h = 3 centimeters I agreed:)

Please answer right I will give you brainliest :)

Answers

Answer:

Step-by-step explanation:

Answer:

first one is 4.50

18/4 = 4.5

27/6 = 4.5

second one is c because when you divide each of the costs by their number of cookies accordingly, you get 1.75 which makes it proportional.

Step-by-step explanation:

What is the value of x?
6/x=18/30

Answers

the answer should be x = 10

Answer:

x=10

Step-by-step explanation:

18/30 can be simplified as 3/5

6/x=3/5

Multiply both sides by x

6=3x/5

Multiply both sides by 5

30=3x

Divide both sides by 3

x=10

Therefore, x=10

Consider these sample means for the number of weekend hours spent studying for a Monday exam.

A 2-column table with 2 rows. Column 1 is a labeled Sample with entries 1, 2, 3, 4. Column 2 is labeled Sample Mean with entries 8, 5, 6, 4.

Which statements are true? Check all that apply.
The variation in the sample means is less than 5.
The variation in the sample means makes population predictions invalid.
The actual population mean most likely will be between 4 and 8.
The sample means can be used to make predictions about the population mean.
The population mean is greater than 8.
Can someone please explain how you got the answer. Will give brainlest if explained

Answers

Answer:

Who studies anymore, honestly?

Step-by-step explanation:

Answer: 1 the variation in the sample means is less then 5 .

3 the actual population mean most likely will be between 4 and 8 .

4 the sample means can be used to make predictions about the population mean .

Step-by-step explanation:

Use a net of the square pyramid, if necessary, to find the surface area of the pyramid.

Answers

Imma guess 9 I’m not sure

Answer:

27 units squared

Step-by-step explanation:

First, we find the surface area of one of the triangles.

(3*3*0.5)

4.5

Next, we find the surface area of all of the triangles.

(4.5*4)

The next step is to find the surface area of the square.

(3*3)

The last step is to add the surface areas of the square and triangles together.

(18+9)

The surface area of the entire shape is going to be 27 units squared.

Can you guys please help me with the top part thank you

Answers

you need to figure out what the terms is and the variables

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer......

= 10x - 5

Hope it helps you,

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EXPERT HELP: DON'T GUESS AND EXPLAIN THE ANSWER

Answers

Answer:

Step-by-step explanation:

the answer is A for sure because the mean number of pizzas delivered by Guy A is 5 MADS less than delivery guy B, this is because the Standard deviation is 2 so so there is 5 standard deviations between the mean number of pizzas delivered

help pls due today correct answer = brainliest

Answers

Answer:

3 grams

Step-by-step explanation:

Answer:

It would be 3 grams

Pleasseeeee help I’m bad

Answers

Answer:24.77cm

Step-by-step explanation:

8*3=24

3*8=24

the answers the first one 24pi

Find the area of the shaded section only in the figure below.

Answers

There is nothing there!!!!

I don’t see anything ?

A building in the shape of a pyramid was recently built. Each side of the pyramid’s square base has a length of 40 feet and the pyramid’s height is 60 feet. What is the volume of the pyramid?

Answers

Answer:

Step-by-step explanation:

The base of this pyramid is a square with sides of 8 ... 12-5 Volumes of Pyramids and Cones ... building. If the height is 100 feet and the area of the base is about 15,400 ... has side lengths of 2 feet. ... For new construction ... 40. WRITING IN MATH Compare and contrast finding volumes of pyramids and cones with finding.

Step-by-step explanation:

32,000ft

this th correct answer

I cant do this pls help

Answers

The distance is 5. Hope this helps!

Distance is 5 ( I apologize if the answer is wrong )

please help me out, thank you
i split the question into two screenshots but its just one question

Answers

Answer:

The remaining dollars is 12 and the percent is 3%

Step-by-step explanation:

Yea the first person is right I did the math

find the surface area of the pyramid. The side lengths of the base are equal.

Answers

Answer: Your answer will be

576.66615 but if rounded it will be 576.67

Step-by-step explanation: Hope I helped

Answer:

552cm squared

Step-by-step explanation:

The first step is to find one of the surface areas of the triangles.

(12*17*0.5)

102

Now that we have one of them, we need to find what the four of them together is equal to.

(102*4) or 102 + 102 + 102 + 102

408

The next time is to find what the square is equal to.

(12*12)

144

The last step is to add the four triangles and the squares surface areas together.

408+144

552

The surface area of the shape is going to be 552cm^2

If a system of linear equations has one solution, what does this mean about the two lines?

A. Parallel lines
B. the same line
C. Intersecting lines

Answers

Answer:

The same lines

Step-by-step explanation:

2 similar lines overlap each other, so each point on the line is a solution to the system of equations because it is a solution to "both lines".

The answer is B I’m pretty sure!
Have a good day

PRODIGY QUESTION I NEED HELP IN ORDER TO WIN BATTLE! 20 POINTS!!!!

Answers

Answer:

Step-by-step explanation:

3 2/4

Help and the one with the best answer gets branlest.

Answers

Answer:

There is a cluster from 19 to 21 (True)

There is a gap at 24 (False)

The data set is symmetric (True)

The peak of the data set is at 20 minutes.

Step-by-step explanation:

A:
True
False
True

B:
20

MATH SMARTIES i will give brainliest CAN YOU TELL ME IF MY ANSWER IS CORRECT AND IF NOT CORRECT THEN CAN YOU TELL ME THE CORRECT ANSWER

Answers

Answer:

It is A

Step-by-step explanation:

5 and 6 are the only numbers greater than 4 and they are both heads and tails.

Answer: Your correct. Can I get brainleist

Step-by-step explanation: They are the only numbers greater than 4 besides B which is incorrect it would be nice if I could get brainleist. I was the first to answer.

PLEASE HELP WILL MARK BRAINLIEST!!

Answers

Answer:

3.5

Step-by-step explanation:

Locating the median is taking all answers into account then dividing by all possible answers.

HELP ASAP!!ANSWER USING GIVEN FRACTIONS!!FIRST CORRECT ANSWER WILL GET BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

1. 21/100

2. 9/100

3. 49/100

hope this helps

a box of cashews,peanuts, and almonds contain 120 nuts. For every 2 chashews, there are 3 peanuts and 5 almonds. How many more almonds are there than cashews?

Answers

So,
4x + 3x + 5x= 156
12x= 156
x= 13
4x = 4 times 13= 52 Cashews
3x= 3 times 13= 39 Peanuts
52-32= 13

Can someone solve all of this for me (50 FOR BRAINLIEST)

Answers

Yesss i need the answer too

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Answers

Answer:

900

Step-by-step explanation:

First, you figure out what one hour is worth, (which was 300)

Then, you multiply whatever answer you have by how many hours you need. (In this case, we needed 3 hours so I multiplied by 3)

In the end, the answer was 900. Ratio form: 3:900

Hope you have a good day and good luck!

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