An angle measures 66° more than the measure of its complementary angle what is the measure of each angle

Answers

Answer 1

Answer:

The measures of the two angles are 12° and 78°

Step-by-step explanation:

Let us explain what is the complementary angles

Two angles are complementary if the sum of their measures is 90°

Example:

If m∠x + m∠y = 90°, then

∠x and ∠y are complementary angles

Let us solve the question

Assume that the measure of one of the complementary angle is x°

∵ The measure of its complementary is 66° more than it

∴ The measure of its complementary = x + 66

∵ The sum of the measures of the complementary angles is 90°

x + 66 + x = 90

→ Add the like terms in the left side

∴ 2x + 66 = 90

→ Subtract 66 from both sides

∴ 2x + 66 - 66 = 90 - 66

∴ 2x = 24

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}=\frac{24}{2}[/tex]

x = 12°

→ Substitute the value of x in the second angle to find x

∵ The measure of the other angle = 12 + 66

∴ The measure of the other angle = 78°

The measures of the two angles are 12° and 78°

Answer 2

Answer:

12 and 78

Step-by-step explanation:

Let us explain what is the complementary angles

Two angles are complementary if the sum of their measures is 90°

Example:

If m∠x + m∠y = 90°, then

∠x and ∠y are complementary angles

Let us solve the question

Assume that the measure of one of the complementary angle is x°

∵ The measure of its complementary is 66° more than it

∴ The measure of its complementary = x + 66

∵ The sum of the measures of the complementary angles is 90°

∴ x + 66 + x = 90

→ Add the like terms in the left side

∴ 2x + 66 = 90

→ Subtract 66 from both sides

∴ 2x + 66 - 66 = 90 - 66

∴ 2x = 24

→ Divide both sides by 2

∴ x = 12°

→ Substitute the value of x in the second angle to find x

∵ The measure of the other angle = 12 + 66

∴ The measure of the other angle = 78°

∴ The measures of the two angles are 12° and 78°


Related Questions

Please help me out!​

Answers

Answer:

x = 2/3

Step-by-step explanation:

Lets solve your equation step-by-step.

x−10=−2(x+4)

Step 1: Simplify both sides of the equation.

x−10=−2(x+4)

x+−10=(−2)(x)+(−2)(4)(Distribute)

x+−10=−2x+−8

x−10=−2x−8

Step 2: Add 2x to both sides.

x−10+2x=−2x−8+2x

3x−10=−8

Step 3: Add 10 to both sides.

3x−10+10=−8+10

3x=2

Step 4: Divide both sides by 3.

3x / 3 = 2/3

x=2/3

Please help ASAP Cool Down: Graph the Relationship
Sketch a graph that shows the
relationship between grams of
honey and grams of salt needed
for a bakery recipe. Show on
the graph how much honey is
needed for 70 grams of salt.

Answers

Answer:

105

Step-by-step explanation:

15/10= 1.5

30/20= 1.5

70x1.5= 105

NEED HELP! ASAP! 50 POINTS!

What is the slope intercept form of 4x-3y=18? Explain.

A) y = 3/4x - 6

B) y = -3/4x - 6

C) y = 4/3x - 6

D) y = -4/3x + 6

Answers

Answer:

D

You use algebra and solve it for y.

Step-by-step explanation:

4x-3y=18

3y=4x+18

y=4/3x +6

Answer:

D

Step-by-step explanation:

What number is 40% of 307
Input only whole numbers.

Answers

Answer:

123 is 40% of 307.

10% is 30.7 so
30.7 x 4 = 122.8

SOMEONE HELP ME PLSSSSSS

Answers

Answer:

1. B) 2. D)

Step-by-step explanation:

Yuh

What is 1/2n to the three place value
A. 1.571
B. 1.570
C. 6.284

Answers

Answer:

b

Step-by-step explanation:

solve the following equasion -9 = r/4
a. r = 36
b. r = 13
c. r = 9/4
b. r = -36​

Answers

Answer:

r=-36

Step-by-step explanation:

8 waffle makers cost $200. If the waffle makers all cost the same amount, how much does each waffle maker cost?

Answers

Answer:

$25

Step-by-step explanation:

divide 200 by 8 to get the unit rate, or what a single waffle maker costs.

Answer:

Each waffle maker is $25.

Step-by-step explanation:

First set up an equation here mine would be:

200=8c (c being cost)

Next get c alone, so divide each side by 8. That gives you:

c=200/8

Simplify.

c=25

So the cost of each waffle maker is $25.

1. multiply x^2-16/6x • 7x/x+4
a. 7(x-4)/6
b. 7(x+4)/6
c. (x+4)^2(x-4)/42x^2
d. (x-4)^2(x+4)/42x^2

2. multiply y^2-9/-2y • -5y/y+3
a. -5(y+3)/-2
b. -5(y-3)/-2
c. (y+3)/-2
d. y-3/-2

Answers

Answer:

1. b

2.c

Step-by-step explanation:

Answer:

1.A

2.B

Step-by-step explanation:

Hope this helps

The mean,mode,median in
2, 5, 5, 6, 7, 3, 2, 6?

Answers

the median is 5
the mean is 4.5.
the mode is 2,5,6,7

John took a 5 1/2 mile walk to his friend's house. He left at 11 a.m. and
arrived at his friend's house at 12:45 p.m. What was his average speed of
walking in miles per hour?*

Answers

Answer:

3.14 mph

Step-by-step explanation:

5.5 divided by 1.75

5.5 is the miles

1.75 is the hours

Answer: The average speed on the return trip is 2.44 miles/h

Step-by-step explanation:

Find the length of the unknown side. Round your answer to the nearest whole number.

Image of a right triangle with legs labeled 5 inches each and hypotenuse unknown.

Group of answer choices

A. 7 inches

B. 10 inches

C. 25 inches

D. 50 inches

Answers

Answer:

A. 7

Step-by-step explanation:

5^2+5^2=c62

25+25=c^2

50=c^2

7=c

Answer:

A

Step-by-step explanation:

c=√a²+b²=√5²+5²≈7.07107

Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

Answers

Disheveled shelve should 263

*DOMAIN AND RANGE HELP PLEASE
if u can tell me the answers like *A. then say the two numbers that would be helpful*
but please help me!!!!!!

Answers

Answer:

Step-by-step explanation:

A) Domain: 8 Range: 7

B) Domain: 5 Range: 6

C) Domain: 1 Range: 2

D) Domain: 3 Range: 4

x2 - 10x + 21 = 0
How do you work this problem?

Answers

Answer:

x = 3, 7

Step-by-step explanation:

Step 1: Write equation

x² - 10x + 21 = 0

Step 2: Factor

(x - 7)(x - 3) = 0

Step 3: Find roots

x - 7 = 0

x = 7

x - 3 =0

x = 3

Founder's Park is planning to add a slide. The scaled model gives the reduced measures. A slide has a width of 3.5 inches and height of 3 inches. The park has space for the base of the slide to be 7-feet wide. To keep the slide proportional to the model, what will the height of the slide be? The slide will have a height of feet.

Answers

Answer: The slide will have a height of 6 feet.

Step-by-step explanation:

Given: A slide has a width of 3.5 inches and height of 3 inches.

For required slide , width = 7 feet]

To keep the slide proportional to the model,

[tex]\dfrac{\text{height of the required slide}}{\text{height of the slide }}=\dfrac{\text{width of required slide}}{\text{width of slide}}[/tex]

[tex]\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=\dfrac{7}{3.5}\\\\\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=2\\\\\Rightarrow\ \text{height of the required slide}=3\times2 =6\ \text{feet}[/tex]

hence, the slide will have a height of 6 feet.

Answer:

The slide will have a height of 6  feet.

Step-by-step explanation:

i got it right

A Boy Scout troop is selling Christmas trees at a local tree lot in the morning they sold 11 Douglas fir trees and nine noble fir trees turning a total of $1006 in the afternoon they sold 14 Douglas fir trees and nine noble fir trees turning a total of $1111 how much do the Douglasfir trees cost

Answers

Answer:

$35

Step-by-step explanation:

Let x represent the price of Douglas fir trees and y represent the noble fir trees

11x + 9y= 1006........equation 1

14x + 9y= 1111.........equation 2

Multiply equation 1 by 14 and equation 2 by 11

154x + 126y= 14,084

-

154x + 99 y= 12,221

27y= 1863

Divide both sides by the coefficient of y which is 27

27y/27 = 1863/27

y= 69

Substitute 69 for y in equation 1

11x + 9y= 1006

11x + 9(69) = 1006

11x + 621= 1006

11x = 1006 -621

11x = 385

x = 385/11

x = 35

Hence the Douglas fir free costs $35

Can anybody help me please with question 1 please and thank you .I would really appreciate it so much. Please

Answers

Do you want the answer for question 1!? It's already done! It says Given right there, that's an example answer :)

5.22 write the decimal as a fraction or mixed number in simplest form​

Answers

Answer:  

5 and 11/50  

Step-by-step explanation:

5.22 = 261/50 = 5 and 11/50

Helppp fasttt! also always contains brainliest!

Answers

Answer:

Im pretty sure it's F

Step-by-step explanation:

Sorry if im wrong

HELP PLEASE! I WILL MAKE BRAINLIST

Answers

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answear is true because it is strait line and also it equales (y=x+2)

please help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

[tex] \frac{5(q + p)}{2} = 3 + 4p \\ [/tex]

Multiply sides by 2

[tex]5(q + p) = 2(3 + 4p)[/tex]

[tex]5q + 5p= 6 + 8p[/tex]

Subtract sides minus 5p

[tex]5q = 6 + 8p - 5p[/tex]

[tex]5q = 3p + 6[/tex]

Divided sides by 5

[tex]q = \frac{3p + 6}{5} \\ [/tex]

a = 3 , b = 6 , c = 5

They're all positive.

So we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

What is a slope of A and B

A.1/3
B.1/2
C.1/4
D.3/4

Answers

Answer:

A. 1/3

Step-by-step explanation:

to find slope (rise over run), you count how many points up and how many points over it is to get from one point to another on the line graphed.

from point A to point B, it is 4 up and 12 over (4/12). then, you have to simplify it, making it 1/3.

hopefully that helped! please consider brainliest! :)

(I need one more to move up a rank lol)

please help!! will mark as brainliest!

Presley has to clean her 40-gallon fish tank. Her first step is to drain the tank. Using a hose and a
siphon, she finds that she can drain 16 gallons of water per hour.
Presley writes the equation 40 - 16x = 0, where x is the number of hours, to determine how many
hours it will take to drain the tank.
The next step Presley wrote to solve the equation is shown here:
40 = 16x
Which property did she use to get to this step?

a.) addition property of equality
b.) multiplication property of equality
c.) distributive property of equality
d.) combining like terms

Answers

Answer: The answer is A.addition property of equality

Hope I helped

Pkease mark me as brainliest!

The gardener plans to fertilize the region of grass. The
gardener can buy only full bags of fertilizer and will
use at least 1 bag per 225 square feet of grass. What is
the minimum number of bags of fertilizer the gardener
needs to buy?

Answers

Answer:4

Step-by-step explanation:

Find the 22nd term of the arithmetic sequence whose common difference is d=2 and first term is a1 = -25

Answers

Answer:

17

Step-by-step explanation:

an=a1+(n-1)d

a22=-25+21(2)

a22=17

Answer:

Hello

a=-25

d=2

a22=a+(n-1)d

     =-25+(22-1)2

     =-25+(21)2

     =-25+42

     =17

Step-by-step explanation:



What is the smallest possible value for x when î x plus 5 is greater than or equal to 3?

Answers

Answer:

x = - 2

Step-by-step explanation:

Given

x + 5 ≥ 3 ( subtract 5 from both sides )

x ≥ - 2

Thus smallest possible value for x is - 2

41= 5x+17-3x need please

Answers

Answer:

[tex]{\huge{\pink{\underline{\underline{Solution}}}}}[/tex]

41=5x+17-3x

41=5x-3x+17

41=2x+17

41-21=2x

2x=20

[tex]x= \frac{20}{2} [/tex]

Hence,value of x=10

Hope it will help you ☺☺✌✌

The picture below shows the solution set for which system of inequalities? A. y>x y<2 B. y>x y>2 C. y2 D. y

Answers

Answer:

Y<x

Y<2

Step-by-step explanation:

Apex

This it to the online school kids
How long does it take you to get ALL of you lessons done for the day?


It takes me on average 5-9 hours I kinda struggle alot lol.

Answers

Answer:

it averages about 8AM to 11Am so 3 hours

Step-by-step explanation:

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