You can represent the measures of an angle and its complement as x° and (90 - x)°. Similarly, you can represent the measures of and angle and is supplement as x° and (180 - x)°. Use these expressions to find the measure of the angles described. The measure of the supplement of an angle is three times the measure of its complement. The measure of the angle is________ degrees, the measure of its complement is degrees, and the measure of its supplement is ________degrees.

Answers

Answer 1

Answer:

The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°

Step-by-step explanation:

Let the angle be equal to x°. We know that

[tex](180 - x) = 3(90- x)[/tex]

Therefore, solving for x, we have

[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]

So the angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°


Related Questions

let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5

Answers

X=3 x 4 = 57 is the answer

(07.07) H U R R Y, please ;) 15 points!
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).


Elapsed Time
(seconds) Distance Traveled
(feet)
1 4.2
2 8.4
3 12.6
4 16.8


Which of the following equations represents the relationship between the distance traveled and the elapsed time?
p = 4.2f
f = 4.2p
p = 4.2 + f
f = 4.2 + p

Answers

im not sure i think its 14.2

giving 5 stars to right person

Answers

Answer:

12/40

Step-by-step explanation:

12/40=3/10

A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation. Using
this equation, find the maximum height reached by the rocket, to the nearest
tenth of a foot.
y = -16x2 + 212x + 139

Answers

Answer:

y = 841.25 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is  related to the time after launch, x in seconds, by the given equation as follows:

[tex]y = -16x^2 + 212x + 139[/tex] ....(1)

We need to find the maximum height reached by the rocket.

For maximum height, put dy/dx = 0

So,

[tex]\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s[/tex]

Pu x = 6.625 in equation (1).

[tex]y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet[/tex]

So, the maximum height reached by the rocket is equal to 841.25 feet.

Ben and Leonidas are twins who are both in Hufflepuff. Ben is ready first,
so he leaves the common room and starts flying to class at an average
speed of 20 km per hour. Half an hour later, Leonidas leaves the common
room on his Firebolt 3000 sports broom and follows the same route,
traveling at an average speed of 70 km per hour. How many minutes will it
take Leonidas to catch up with Ben, starting from when Leonidas leaves
the house?
11 minutes
O 12 minutes
17 minutes
O 20 minutes

Answers

Answer:

17 minutes

Step-by-step explanation:

the polynomial y = x^{5} + x^{3} - x^{2} - 1 factors into (x^{2} + 1) (x^{3} - 1). what is the multiplicity of the root (x^{3} - 1)?

Answers

Answer:

The multiplicity of the root is 1

Step-by-step explanation:

Firstly, we need to understand what multiplicity is

By multiplicity, we simply refer to the number of times we have the certain root repeating itself

From the factorization, each of the given roots were only repeated once

That indicates that the given multiplicity is 1

Please help? Is this correct i need tight now poease

Answers

Answer:

Yes

Step-by-step explanation:

Your answer is correct :) good job and keep it up!

McKenna was asked to write the following expression in standard form.

3−5(3a+6)
When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)
3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4
a. McKenna made her first mistake in ____________

Question 2
b. The correct expression in standard form is ______

basically pls fill in the blanks :]

Answers

Answer: -15a - 27

Step-by-step explanation:

McKenna made her first mistake in Step 2. You would need to multiply -5 by 3a and 6, not add it to 3 first.

The correct steps would be:  

3−5(3a+6)

3+(−5)(3a+6) Step 1

3 - 15a - 30 Step 2

-15a - 27 Step 3

Explain why dividing each side of \small 3x^2=6x by \small 3x is not a reliable way to solve the equation.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]3x^2 = 6x[/tex]

Required

Why dividing by [tex]3x[/tex] is not reliable

The reason is that, the given expression is a quadratic equation and as such, it will most likely have two solutions.

So, when the expression is divided by [tex]3x[/tex], the solution will be [tex]x = 2[/tex], leaving out the other possible solution.

The right way is:

[tex]3x^2 = 6x[/tex]

Subtract 6x from both sides

[tex]3x^2 - 6x = 6x - 6x[/tex]

[tex]3x^2 - 6x = 0[/tex]

Factorize

[tex]3x(x - 2) = 0[/tex]

Split

[tex]3x = 0\ or\ x - 2 = 0[/tex]

Solve for x in both cases:

[tex]x = 0\ or\ x = 2[/tex]

can you help me i will mark if i can

Answers

Answer:

i think it is d

Step-by-step explanation:

2.

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.


inverse variation; xy = 12

inverse variation; [tex]\frac{y}{x} =12[/tex]

direct variation; y = 12x

direct variation; [tex]y=\frac{12}{x}[/tex]

Answers

Answer:  Other Answers..

SHOW ANSWER

6*2 =12

4*3 = 12

12*1 = 12

answer is B inverse variation xy=12

...............................................................................................................................................

Step-by-step explanation:  Brainly answers.. -_-

6*2 =12

4*3 = 12

12*1 = 12

answer is B inverse variation xy=12

...............................................................................................................................................

Answer:

The correct option is B.

Step-by-step explanation:

From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.

The inverse variation is defined as

Where, k is constant of proportionality.

From the given table it is clear that the value of y is 6 at x=2.

The value of k is 12. So, the required model is

Therefore, the correct option is B.

Answer: B

Step-by-step explanation:

Find the distance between the points (2, 4) and (8,-8) on a coordinate plane, to the nearest whole number.

Answers

Answer:

2,5

Step-by-step explanation:

2 to the right and 5 up

The senior classes at Portland High School and Biddeford High School planned separate
trips to New York City. The senior class at Portland High School rented and filled 1 van
and 6 buses with 372 students. Biddeford High School rented and filled 4 vans and 12
buses with 780 students. Each van and each bus carried the same number of students. How
many students can a van carry? How many students can a bus carry?

Answers

I believe it would be 47

HELP ILL GIVE BRAINLIEST


Select all equivalent
equations for the translation of "four times the sum of
a variable and nine equals eighteen".
4+ (x + 9) = 18
4(x)(9) = 18
4(x + 9) = 18
4x + 4(9) = 18
4x + 9 = 18

Answers

Answer:

No - 4+ (x + 9) = 18  

No - 4(x)(9) = 18

Yes - 4(x + 9) = 18

Yes - 4x + 4(9) = 18

No - 4x + 9 = 18

Find the slope of the line with x intercept 9 and y intercept of -2

Answers

Answer:

2/9

Step-by-step explanation:

Find the slope of the line with x intercept 9 and y intercept of -2

Given that the equation of the line is y = mx+b

x intercept occurs when y = 0

The coordinate of x intercept is (9,0)

y intercept occurs at x = 0

The coordinate of y intercept is (0, -2)

Slope m = y2-y1/x2-x1

m = -2-0/0-9

m = -2/-9

m = 2/9

Hence the required slope is 2/9

On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
gallons of the milk. How much milk does the cafeteria have left?
gallons

Answers

Answer:

89.88 gallons of milk

Step-by-step explanation:

97.88-8=89.88

A 17 foot long lodder is leaning against a house the base of the ladder is 9 feet from the house how high up the house does the ladder reach​

Answers

Given: ladder = 17 m and base = 8 m

The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.

Let’s say you did not know that this was a standard 8–15–17 right triangle.

This is how you can figure it out:

hypotenuse(h)2
2
= side21
1
2
+ side22
2
2

Let side1
1
= base and side2
2
= wall

172
2
= 82
2
+ wall2
2

wall = 172−82‾‾‾‾‾‾‾‾√
17
2

8
2

wall = 289−64‾‾‾‾‾‾‾‾‾√
289

64

wall = 225‾‾‾‾√
225

wall = 15 feet

>>>>>>>>>>15 feet

1. Determine the lateral and total surface
area of the pyramid.


(I need full explanation on how to solve

Answers

Answer:

Laterial surface area: 73 cm²Total surface area: 93 cm²

Step-by-step explanation:

The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.

The laterial surface area LSA is:

LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)

LSA = 4 • 8 + 5 • 8.2

LSA = 73 cm²

The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:

SA = LSA + 4 5

SA = 73 cm + 20 cm²

SA = 93 cm²

In a survey of 232 students, about 5.5% have attended more than one play. Which is closest to the number of students in the survey who have attended more than play? 5 7 13 16​

Answers

Answer:

13

Step-by-step explanation:

Number of students that attended more than play = percentage of students that attended more than play x total number of students

5.5% x 232

0.055 x 232 = 12.76 students

to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Since the first term is 7 which is greater than 5, 1 would be added to it.

This gives 13

explain how you can tell whether a group of ratios represents a proportional relationship. PLEASE HELP

Answers

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

hope this helps :)

How much should Josea leave for the tip?
Reminder: The total bill was $38. She wanted to leave
a 15% tip.

Answers

Answer: soo if the bill is $38

then 15% times 100 = 0.15

38.00 x 0.15 = $5.7

Step-by-step explanation:

Answer:

$5.7 as a tip

what does 96*96 equal??

Answers

pretty sure 96 * 96 = 9216 !

0.7 as 1 minute
And is it okey if you could tell me how you did it?

Answers

Answer:

Hello There!!

Step-by-step explanation:

You multiply 0.7 by 60 which is 42 seconds.

hope this helps,have a great day!!

~Pinky~

what is the x-intercept of the graph 4x-6y=12

Answers

So the x-intercept is 3. Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2

Write the expression representing the total number of miles run: Jazmin ran 3 miles on Monday. For the next 4 days, she ran x miles each day.

Answers

Answer:

4 + x

Step-by-step explanation:

When heat energy is increased for a substance the ______?

HELP!!

Answers

Answer:

molecules speed up

Step-by-step explanation:

temperature has a strong affect of the movement of molecules

How does the graph of f(x)=|x| compare with the graph of g(x) = 1/2|x| select all that apply

Answers

Answer:

I don't see the choices but both graphs are absolute value graphs. I think  g(x) = 1/2|x|  is the shrink of f(x)=|x|

Help please!! Will mark brainstest!!
Scatter Plot is in the picture.
It says write an equation for the trend line.
A) y=-12.5x+250
B) y=12.5x+250
C) y=6.25x+225
D) y=-6.25+225​

Answers

The correct answer is letter B

The figure is made by two right rectangular prisms.
What is the volume of the figure?

Answers

Answer:

d

Step-by-step explanation:

answer: d

step by step explanation:

What is 7.37 as a fraction

Answers

Answer:

737/100

Step-by-step explanation:

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