An angle measures 38° less than its complement. Find the measures of the two angles.​

Answers

Answer 1
Let c represent the complement.

angle = c - 38
Complement = c

equation :

c - 38 + c = 180
2c - 38 = 180
2c = 218
c = 109

First angle is 71 degrees and the complement is 109.
Answer 2

The measures of the angles are: 64°  and 26°.

Recall: Two angles are complement of each other if they add up to the sum of 90° .

Thus,

Let [tex]x[/tex] represent the first angle

The second angle = [tex](x-38)^{o}[/tex]

Therefore:

[tex]x + (x - 38) = 90[/tex]

Solve for x

[tex]x + x - 38 = 90\\2x - 38 = 90\\2x - 38 + 38 = 90 + 38\\2x = 128\\x = 64[/tex]

The first angle, x, is 64°

The second angle = [tex]x - 38[/tex]

Plug in the value of x

[tex]= 64 - 38\\= 26[/tex]

Therefore, the measures of the two angles are 64°  and 26°

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Related Questions

Mary bought two doughnuts and a carton of milk for $2.87. The carton of milk was $1.29. How much is one doughnut?
equation

Answers

Answer:

1000000000000000000000000000

Step-by-step explanation:

Answer:

$1.58

Step-by-step explanation:

A cheetah runs with an average speed of 32 m/s for 30 seconds. How far did the cheetah run?

Answers

Answer:

o.2m.

s=av/t where av= average speed and s= speed and t= time

The cheetah ran 960 meters in 30 seconds with an average speed of

36 m/s.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

We know, distance = speed×time or d = st.

Given, A cheetah runs with an average speed of 32 m/s for 30 seconds.

Here, s = 32 m/s and t = 30 seconds.

Therefore, d = 32×30 meters.

d = 960 meters.

learn more about numerical expressions here :

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Herky is putting money into a savings account on a weekly basis to buy a DVD player that costs $179.40 including tax. He asks Mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. Mario gives him the answer and explains how he found the answer. What does Mario say?
He tells Herky he needs to save $18.05 per week. He explains that he found his answer by subtracting $35.00 from $179.40, then dividing the result by 8.
He tells Herky he needs to save $22.43 per week. He explains that he found his answer by dividing $179.40 by 8.
He tells Herky he needs to save $26.80 per week. He explains that he found his answer by adding $35.00 to $179.40, then dividing the result by 8.
He tells Herky he needs to save $57.43 per week. He explains that he found his answer by dividing $179.40 by 8, then adding $35.00.

Answers

Answer:

b

Step-by-step explanation:

what is the negative square root of 65 over 121

Answers

Answer:

-0.06663022932

Step-by-step explanation:

Answer:

-0.06663022

it can't be simplified, but this is the decimal form....

3:4 is equivalent to ____:20.

Answers

Answer:

4 time 5 equals to 20

3 times 5 is 15

15:20 is the answer

Step-by-step explanation:

The answer is 15 because 20 divided by 5 is 4 so you should times 3 by 5! Lmk and I can explain it better

Using the figure on the left, what is the measure of

Answers

Answer:

c = 30°

d = 60°

Step-by-step explanation:

Angle ZWC is a 90° angle

Angle YWX is a 60° angle

add them together and you get 150°

180 - 150 = c = 30°

c + d + 90° = 180°

substitute

30° + d + 90° = 180°

combine like terms

120° + d = 180°

subtract 120° from both sides

d = 60°

hope this helps!!

Answer:

c is 30 and d is 60

Step-by-step explanation:

I did it for hw

2 less than 3 times a number greater than 10. Write as inequality

Answers

Answer:

2<3x>10

Step-by-step explanation:

2<3x>10

Which best describes how to subtract 6.45 from 81.3?
Align the numbers on the decimal point. Place a zero in the hundredths place of 81.3.
Subtract from right to left, regrouping as necessary
Align the digits of the numbers on the right-most digit.
Subtract from right to left, regrouping as necessary.
Align the digits of the numbers on the left-most digit
Subtract from right to left, regrouping as necessary
Align the numbers on the decimal point.
Subtract from left to right, regrouping as necessary

Answers

Answer:

Align the numbers on the decimal point. Place a zero in the hundredths place of 81.3. Subtract from right to left, regrouping as necessary.  

Step-by-step explanation:

The Correction Observation is

Align the numbers on the decimal point. Place a zero in the hundredths place of 81.3. Subtract from right to left, regrouping as necessary.  

What is Subtraction?

To subtract is to take something or somethings away from a group. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.

Given:

subtract 6.45 from 81.3

For Subtraction

First, Align the numbers on the decimal point.

Then, Place a zero in the hundredths place of 81.3.

lastly , Subtract from right to left

Learn more about subtraction here:

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First to answer gets something good ;)

Answers

Answer:

should be the second one 75 + 20x <55 +44x

Which Reason would be used to relate the named angles?

Corresponding Angles
Alternate Interior Angles
Same Side Interior
O None of the above

Answers

Same side interior

You can see both j and p are on the inside so they are interior angles. If you look further you can see they are both on the same side therefore they are same side interior.

Brady noticed that there were 38 cars in the parking lot. 7 of the cars were blue.

What decimal represents the percent of the cars that were blue? Round your answer to the nearest hundredth.??????!!!! Help! :)

Answers

Answer:

Step-by-step explanation:

7 blue cars out of 38 cars.

To find the percentage you just divide using your calculator and you should get something like this :

[tex]\frac{7}{38}[/tex] = 0.1842105263

Then you just round that to the nearest hundredth.

If you round 0.184 to the nearest hundredth, it will be 0.18 (You have to round down since the number 4 in the thousandth place is smaller than 5)

Composite functions
g(d) = 2d - 5
h(d) = -4d +3
Find (hºg)(d)

Answers

Answer:

[tex](h\circ g)(d)=-8d +23[/tex]

Step-by-step explanation:

Composite Function

Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:

[tex](h\circ g)(d)=h(g(x))[/tex]

For practical purposes, it can be found by substituting g into h.

The functions g and h are given as:

[tex]g(d) = 2d - 5[/tex]

[tex]h(d) = -4d +3[/tex]

Substituting g into h:

[tex](h\circ g)(d)=-4(2d - 5) +3[/tex]

Operating:

[tex](h\circ g)(d)=-8d +20 +3[/tex]

[tex]\boxed{(h\circ g)(d)=-8d +23}[/tex]

2 (3х + 5) = 22
Step by step please

Answers

Answer:

x = 2

Step-by-step explanation:

2(3х + 5) = 22

Divide both sides by 2.

3x + 5 = 11

Subtract 5 from both sides.

3x = 6

Divide both sides by 3.

x = 2

2(3x+5)=22
1. 6x+10=22
2. 6x=12
3. X=6

which is the graph of a linear equation x - 2y equals 6 ​

Answers

This is the graph hope this helps.

3 bananas cost $0.99. At this rate, how much do 5 bananas cost?

Answers

Answer:

1.65

Step-by-step explanation:

0.99/3 = .33

.33 x 5 = $1.65

Answer:

Five bananas will cost $1.65

Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and earned $535.62. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.

Answers

Answer:

[tex]r = \$14.71[/tex]

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

[tex]Overtime = 43 - 32[/tex]

[tex]Overtime = 11[/tex]

The equation that binds all the parameters is:

[tex]Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate[/tex]

This gives:

[tex]535.62 = 21 * r + 11 * 1.4r[/tex]

[tex]535.62 = 21r + 15.4r[/tex]

[tex]535.62 = 36.4r[/tex]

Solve for r

[tex]r = 535.62/36.4[/tex]

[tex]r = \$14.71[/tex]

which number are a distance of 7 units from 1 on the number line -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10

Answers

Answer:

8, -6

Step-by-step explanation:

The amount of money and dollars that it cost to purchase x square feet of the carpet is given by f(x)= 8x the insulation feet is $125 more than 8% of the cost of the carpet right function of g that represents the insulation fee then use the function to find the insulation fee for 175 square feet of carpet

Answers

Answer:

The insulation fee for 175 square feet of carpet is $237.

Step-by-step explanation:

The amount of money, f(x), that it cost to purchase x square feet of the carpet is:

f(x)= 8x

The insulation fee,g(x), is $125 more than 8% of the cost of the carpet,f(x), we have

g(x)=8% of f(x)+125

[tex]\Rightarrow=\frac{8}{100}\times (8x)+125[/tex]

[tex]\Rightarrow=0.64x+125[/tex]

The insulation fee for 175 square feet of carpet,

i.e for x=175

[tex]g(x=175)=0.64\times175+125=237[/tex]

Hence, the insulation fee for 175 square feet of carpet is $237.

Express the ratio 6:2:6 in its simplest form.

Answers

Answer:

in simplest form it is like 3:1;3...

100000000x3,000,000,000,x650000x-200x100-100000000=....?

Answers

51999999999999999000000

Answer:

Do you mean this 100000000* 300000000*650000*(-200)*100-100000000 if so the answer is -3.9E26

Step-by-step explanation:

Remove the parentheses from the (-200)

Multiply the numbers 100000000*300000000*650000*200*100

= -3.9E26-100000000

Subtract the numbers -3.9E26-100000000

= -3.9E26

Hope you enjoy this:) If you need me to explain it more I would love too:))

it's due very soon yelp :(

Answers

Answer:

b i guess

Step-by-step explanation:

Answer:

Definition of Midpoint

Step-by-step explanation:

C----------A---------T

it says that CA and AT are congruent so they are the exact same on both sides. And a midpoint has to be equal on both sides. And also they two points share the letter A which means it is in the middle. Get it midpoint.

Hope this helps!!

May I have brainliest!!

Plz only answer if ur sure about the answer :)

Answers

Answer:

66r+77   |    -14k+9

Step-by-step explanation:

i gotchu big daddy

Mason made 3/4 of a pound of trail mix if he puts 3/8 of a pound Into each bag how many bags can Mason fill? please show me how to work this out with the answer

Answers

Answer:

0.2815

Step-by-step explanation: you need to mulitply 3/4 times 3/8 and you will get  0.2815 hope this helped  

will somebody help me with this question 9 x 3/4

Answers

Answer:

Improper way: 27/4

Mixed number: 6 3/4

Step-by-step explanation:

To make it easier, put a 1 under the 9. So you get 9/1.

It should look like this:  9/1 x 3/4

Then simply multiply 9 and 3 then 1 and 4.

You get 27/4!

Help me solve this problem please

Answers

Answer:

I think what you would do here is line them up from least to greatest, or greatest to least. Hope this helps! <3

Step-by-step explanation:

Find the slope
5x - 2y = 10

M=_______

Answers

whose equation is 5x – 2y = 10. term. Therefore: the slope is 5/2 and the y intercept is –5.

5/6 divided by 3 in simplest form. please help. quick.

Answers

The Answer is:

5/18

Step-by-step explanation:

5/6 ÷ 3 = 5/18

the answer is 5/18 for that question

How was triangle A translated?
O four units left
O four units right
O six units left
O six units right ark this andTetrn​

Answers

Answer:

D

Step-by-step explanation:

i know its six units right but i dont know what the rest of the answer says tho

Answer: D

Six units right

Step-by-step explanation:

I got it right on edg2020

Number 2 please help quick .Asap

Answers

Problem 2, Part (a)

A = event elevator's 1st stop at the 2nd floor

P(A) = 3/4

Since the elevator needs to go up one floor

B = event elevator has its 2nd stop at the 3rd floor

P(B given A) = probability event B happens given event A happened

P(B given A) = 3/4

-----------

P(A and B) = P(A)*P(B given A)

P(A and B) = (3/4)*(3/4)

P(A and B) = 9/16

-----------

Answer: 9/16

===============================================================

Problem 2, Part (b)

A = event elevator's 1st stop at the 2nd floor

P(A) = 3/4

B = event elevator has its 2nd stop at the 3rd floor

P(B given A) = 3/4

C = event elevator has its 3rd stop at 4th floor

P(C given (A and B)) = 3/4

-----------

P(A & B & C) = P(A)*P(B given A)*P(C given (A and B))

P(A & B & C) = (3/4)*(3/4)*(3/4)

P(A & B & C) = 27/64

-----------

Answer: 27/64

===============================================================

Problem 2, Part (c)

A = event elevator's 1st stop at the 2nd floor

x = P(A) = 3/4

B = event elevator has its 2nd stop at the 3rd floor

y = P(B given A) = 3/4

C = event elevator has its 3rd stop at 2nd floor

z = P(C given (A and B)) = 1/4

D = event elevator has its 4th stop at 1st floor

w = P(D given (A & B & C)) = 1/4

-----------

P(A & B & C & D) = x*y*z*w

P(A & B & C & D) = (3/4)*(3/4)*(1/4)*(1/4)

P(A & B & C & D) = 9/256

-----------

Answer: 9/256

Which of the following is NOT a term used to describe slope?
Unit Rate
Constant of Proportionality
Change in X over Change in Y
Rate of Change

Answers

Answer:

Change in X over Change in Y

Step-by-step explanation:

The slope is represented by the change in Y over the change in X. Therefore, the third answer is not correct because the proportion is incorrect.

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