∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*

Answers

Answer 1

[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]

Answer 2

Answer:

m∠ A=78°

m∠ B=12°

Step-by-step explanation:

∠A+∠B=90°

15x+3+5x-13=90

20x-10=90

20x=100

x=5

∠A=(15×5+3)°=(75+3)°=78°

∠B=(5×5-13)°=(25-13)°=12°


Related Questions

Solve for X
Show work!
Help!

Answers

Answer:

x=19

Step-by-step explanation:

The 2 angles are inside of a right angle.  We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.

3x+11+22=90

Combine like terms by adding 11 and 22

3x+33=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.

3x+33-33=90-33

3x=90-33

3x=57

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=57/3

x=57/3

x=19

Answer:

X=19

Step-by-step explanation:

3x+11+22=90

3x+33=90

   -33   -33

——————-

 3x= 57

——   ———

3          3

———————

x= 19

i need the answer now!!

Answers

Answer:

10 ft^3

Step-by-step explanation:

if a cube is 1/3ft then 3 cubes = 1ft

then 30 cubes = 10ft^3

The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection?

Answers

Answer:

D

Step-by-step explanation:

we can set up the equation as 15x = 15x^2

factoring we get

15x(x-1) = 0

So the solutions are when x are 0 and 1

this gives the coordinates

(0,0) and (1,15)

Can someone please help me

Answers

Answer:

-10

Step-by-step explanation:

im not sure but maybe

Answer:

6

Step-by-step explanation:

b(x)=|x+4|

b(-10)=|-10+4| (subtitute -10 into x)

=|-6|

=6

because any num in modulus will become positive

could someone please help me figure this out...

Two lines are intersecting. What is the value of x?
(x + 40)°
(4x - 5)”​

Answers

Answer:  29

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

Work Shown:

The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.

(4x-5)+(x+40) = 180

5x+35 = 180

5x = 180-35

5x = 145

x = 145/5

x = 29

--------

As a check, if x = 29, then

4x-5 = 4*29-5 = 116-5 = 111

x+40 = 29+40 = 69

The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.

Answer:

x = 29

Step-by-step explanation:

The two angles with measures are a linear pair.

Angles in a linear pair are supplementary, so their measures add to 180 deg.

4x - 5 + x + 40 = 180

Combine like terms on left side.

5x + 35 = 180

Subtract 35 from both sides.

5x = 145

Divide both sides by 5.

x = 29

How did you figure out the number of windows on 10 floors?

Answers

Answer:

There are 40 windows on the 10th floor

Step-by-step explanation:

Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.

what is the inverse of the function y=4x+5

Answers

Answer:

the answer for this question is (y-5)/4=x

What is the value of (5 + 2)^2 - 9x3 + 2^3 ? Show all of your
work for full credit.

Answers

Answer:

30

Step-by-step explanation:

(5+2)=7

9x3=27

2^3=8

7^2 - 27 + 8 (evaluate)

7^2=49

49 - 27 + 8 (calculate)

=30

select the correct answer. witch is the correct simplified form of the expression ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-1/3 -1/2 = -5/6

1/2-1/4 = 1/4

The negative makes the reciprocal

x^1/4/y^5/6

The math club needs to raise more than $552.50 for a trip to the state competition. The club
has raised 12% of the funds. Which inequality shows how much money each of the 7 club
members needs to raise if each raises the same amount?
A
m< $69.45
В
m> $69.45
C
m<$72.35
D
m> $72.35

Answers

Answer:

A or B

Step-by-step explanation:

Leaning more towards B- u want the club to earn more not less

The correct inequality is m> $69.45

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

The math club needs to raise more than $552.50 for a trip to the state competition.

The club has raised 12% of the funds.

To represent the inequality we have to perform the following function

=552.50 x 0.12

=66.3

The amount remained= 552.50 - 66.3 = $486.2

So, for the 7 members = 486.2/7

                                     = $69.45

Hence, the inequality is m>$69.45

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ5

there are 50 cards in a pack and each card is either red or black
the ratio of the number of red cards to the number of black cards 1:1

10 black cards are removed from the pack

find the ratio of the number of red cards in the pack to the number of black cards in the pack
Give your answer in its simplest form


Please show your working out

Answers

Step-by-step explanation:

Ratio Red to Black is 1:1

Therefore, Red and Black has 25 cards respectively

If 10B cards are removed, then 25-10=15B cards left

Current ratio Red to Black is 25:15 and simplest form is 5:3

A ratio of 1:1 means there are the same number of red and black cards, so 25 of each. Take 10 black away and now there are still 25 red but only 15 black. The ratio is 25:15, which simplifies to 5:3 ( divide 25 and 15 by 5 because 5 is the greatest common factor of 25 and 15)

help! plz and thx! what is 4:08 - 1:15 = ?:? plz, help WITH AND WITHOUT REGROUPING thx!!!!!!! I will give u the brainiest! plz and thx!

REMEMBER... I WILL GIVE U THE BRAINLIEST!!!!!!!

Answers

Answer:

2:53

Step-by-step explanation:

I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.

Recall that 1 hour equals 60 minutes.

in the difference   4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:

4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .

Now the difference can be performed:

3:68 - 1:15 = (3-1):(68-15) = 2:53

What is the probability that a data value in a normal distribution is between a
Z-score of -0.56 and a z-score of 1.12? Round your answer to the nearest
tenth of a percent.
A. 34.9%
B. 58.1%
C. 73.3%
O O
D. 90.9%

Answers

Answer:

58.1

Step-by-step explanation:

ap3x

Five times the smallest of three consecutive odd integers is seven more than twice
the largest. Find all three consecutive odd integers.

Answers

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

[tex]5x-7=2z[/tex]

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]

Add 7 to both sides

[tex]5x=2x+15[/tex]

Subtract 2x from both sides

[tex]3x=15[/tex]

Divide both sides by 3

[tex]x=5[/tex]

Using these equations:

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

and

[tex]x=5[/tex]

We get:

[tex]x=5\\y=7\\z=9[/tex]

Find m∠YOZ in the figure if m∠XOZ = 86°.

Question 1 options:

A)
65°

B)


C)
42°

D)
43°

Answers

One part of the angle is 3x, and the other part is 6x+23, so putting them together gets 9x+23=86. Subtract the 23 and we get 9x=63. We know that 9•7=63, so x=7, and now we can solve the angle. 6x=42, and 42+23=65, so the answer is:

A) 65°

Answer:

A. 65

Step-by-step explanation:

First, you would need to find x.

You would combine both equations it would become, 6x+23+3x=86.

Then, combine like terms, 9x+23=86.

And subtract 23 from both sides, 9x = 63.

Lastly, divide both sides by 9.

x = 7

Now with the equation 6x+23, you replace x with 7, 6(7)+23.

Then multiply 42+23, and add 42+23= 65.

square root of 36x² if x is less than or equal to 0​

Answers

Answer:

342x I believe

Step-by-step explanation:

I have gotten my answer by dividing 36 and 2 and got 18 then 18 x 18 and got 342x (I am not sure if I am correct so do not blame me sir or miss).

Solve for x: −8 x > 6 7 > x > 6 TONS OF POINTS WHO EVER HAVE THE BEST GET BRAINLIEST!!!!!!!

Answers

Answer:

7 > x > 6

Step-by-step explanation:

- 8 x > 67 > x > 6 will become  -8 x > 6 when you cancel out the 67 and the x .

Then you will calculate - 8 x > 6 which will equal to 7 > x > 6 .

So your answer would be your last option

I hope this helps :)

What is the value of x in the equation 8 + 4 = 2 (x minus 1)? 5 StartFraction 11 Over 2 EndFraction StartFraction 13 Over 2 EndFraction 7

Answers

Answer:

7

Step-by-step explanation:

We can simplify the equation to

12 = 2x - 2

Add 2 to both sides

14 = 2x

Divide by 2

x = 7

Answer:

7

Step-by-step explanation:

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A, C, and E are correct

Step-by-step explanation:

Please answer the question stated below

Answers

4 3/4 + 5 1/8 + 0 + 6 1/4 + ? = 22
You need to get them all to have a common denominator.
3/4, 1/8, 1/4
To get them to the smallest fraction (/8)
3*2/4*2 = 6/8
1*2/4*2 = 2/8
4 3/8 + 5 1/8 + 6 2/8 = 22
4 + 5 + 6 + 3/8 + 1/8 + 2/8 + ? = 22
15 + 5/8 + ? = 22
15 5/8 + ? = 22
Subtract 15 5/8 from both sides.
? = 6 3/8

If the circumference of a circle is below 72 what is the length of AB

Answers

Answer: 12

Step-by-step explanation:

The circle is 360 degrees in total

360/6 = 60

72/6 = 12

1. Stephen works for an environmental protection agency

responsible for toxic waste cleanup. Stephen has to

remove the top 24" of contaminated soil in order to make

sure the soil is not a health hazard. The soil covers a

1200' x 1500'lot. How much soil must be removed?

Answers

Answer:

Area to be removed = 3600000 feet³

Step-by-step explanation:

We need to calculate the volume of soil to be removed. We have been already provided with area of the lot in feet.

Total Area of soil = 1200' x 1500'

Where soil to be removed is given in inches, convert it into feet

Soil to be removed = 24''=2'

Multiply both the the value to get the volume of soil to be removed so the soil is not a health hazard

Area to be removed = 1200' x 1500' x 2'

Area to be removed = 3600000 feet³

According to the table, during which interval did the
average time spent on hold increase?
week 1 to week 3
week 1 to week 4

week 4 to week 6
week 3 to week 5

Answers

Answer:

C

Step-by-step explanation:

Got it correct, Edge2020.

Answer:

c. week 4 to week 6

Step-by-step explanation:

got it right on my test

Which situation below would represent a negative rate of change:
John's parents put $40 on his school account for lunch. Each day he pays $3 for
lunch. Let y represent the amount of money John has after x days in his school
account.
Judy is babysitting after school and charges $20 a day. Each day she gets paid, she
puts half of what she earns in a savings account. Let y represent the amount of
money Judy has in her bank account after x days.

Answers

Answer: John's situation

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each situation.

John’s situation:

The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)

y =40-3x

As days pass by, John has less money (negative rate of change)

Judy's situation

The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)

y = x (20/2)

The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y?

Answers

Answer:

114

Step-by-step explanation:

What is the product?

(5 r + 2)(3 r minus 4)

15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8

Answers

________________________________

Hey!!

Solution,

(5r+2)(3r-4)

= 5r(3r-4)+2(3r-4)

= 15r^2-20r+6r-8

= 15r^2-14r-8

So the right answer is 15 r squared minus 14 r minus 8

Hope it helps

Good luck on your assignment

_________________________________

Answer:

15 r squared minus 14 r minus 8

Step-by-step explanation:

from my understanding that what I think it is :) have an awesome day!!!!!!

3 Euros can be exchanged for 22.41 Kroners. How many Euros can be exchanged for 100 Kroners?

Answers

the answer is 4.4 Euros

Answer:

13.39 Euros

Step-by-step explanation:

The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809

HELP QUICKLY FOR BRAINLISTS!!!
Determine the intercepts of the line.
y-3=5(x-2)

Answers

Answer:

x int = 7/5

y int = -7

Step-by-step explanation:

y = 5x - 7

when x = 0

y = -7

when y = 0

-5x = -7

x = 7/5

Answer:

y.(0.-7)

x.(1.4,0)

Step-by-step explanation:

Find b+c. WILL GIVE BRAINLIEST TO GOOD EXPLANATION

Answers

Since both equal to 0

Do 8

thats because if you simplify you get 8

Answer:

8

Step-by-step explanation:

Let's start off by making both equal to each other, since they are both equal to 0

x²+5x+3=x²+bx+c

let's subtract x² from both sides

5x+3=bx+c

therefore

b=5 and c=3

5+3=8

I need a answer for this

Answers

Answer:

I think is A but I could be wrong.....But I don't think so because I did the math lol

Step-by-step explanation:

Other Questions
Please I need this answer quick I will give brainliest A student decreases the temperature of a 417 cm balloon from 278 K to 231 K.Assuming constant pressure, what should the new volume of the balloon be?376 cm417 cm462 cm924 cm What is the main goal of recommended dietary allowances (RDAs)? to inspect school cafeterias across the United States to regulate foods sold at supermarkets and farmers markets to investigate claims of tainted food being served in restaurants to indicate daily nutrient requirements The narrator wonders if he should help a woman on the train because A key code must contain 4 numerals. There are 10 numerals available. Usingthese numerals, how many different key codes may be created?O A. 180O B. 210O C. 3,060O D. 5,040 Someone expressing a recessive hair color has _______. A-1 dominant and 1 recessive allele for hair colorB-2 dominant alleles for hair colorC-2 recessive alleles for hair color Which two statements best show how the Scientific Revolution changed the way people perceived nature and society? -People started using new technological discoveries only to develop their countries economies. -People started applying the principles of the scientific method, empiricism, and experimentation to other aspects of life. -People started associating religion with science and sought more knowledge about Gods role in the universe. -People starting applying the beliefs of the classical scientists to develop the field of philosophy. -People started challenging the accepted scientific truths taught by the church, which weakened its authority. Mike built a sand castle that measured 484 centimetres by 386 centimetres, and dug a moat around it.Afterward, he decided to change the castle size, making it 725 centimetres by 314 centimetres.How much longer will the newer moat be than the older one? What is Hesss law please help In determining automobile-mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 33 mpg and a standard deviation of 1.7 mpg. Find the following:__________. a. P(X35) d. P(X>31) e. the mileage rating that the upper 5% of cars achieve. An organic chemistry student was studying the solubility of Methyl-N-acetyl--D-glucosaminide (1-O-methyl-GlcNAc), a derivative of glucosamine, in water but inadvertently added 1 equiv. of periodic acid instead. Based on your understanding of the reactions of monosaccharides with periodates, draw the organic product that the student obtained. Which processes produced heat that contributed to the formation of Earth's different layers? Check all that apply.collision of materialscompaction of materialscooling of low-density metalsradioactive decaysinking of high-density metals How do you Convert the decimal into a mixed number 10.5 what happens to the grass molecules when it is eaten by the zebra? What is it called when vesicles are used to move substances into a cell?A. ExocytosisB. Passive transportSheC. EndocytosisD. Diffusion Which of the following is equivalent to RootIndex 5 StartRoot 13 cubed EndRoot? 132 1315 13 Superscript five-thirds 13 Superscript three-fifths One person owns a company's bond, and another owns a share of stock. The company makes a profit of $50 during a certain year. The bondholder is owed a coupon payment of $50, and the stockholder is promised a dividend of $50. Which of the following is the likeliest outcome of this situation? a) The bondholder is paid $50 b) The stockholder is paid $50 c) Each investor is paid $25 d) The company keeps the $50 as retained earnings e) None of these outcomes are likely to happen 2) Assume you bought a share of stock a year ago at a certain price, and today you need the money, so are forced to sell it even though the price has decreased. Which of the following statements is true? a) The stock's dividend yield is negative. b) The stock's dividend yield is positive. c) The stock's capital gains yield is negative. d) The stock's capital gains yield is positive. e) The stock's current yield is negative. At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all. How many cats are in the kennel? what is the side length of a cube with a volume of 166 yd^3 Which of the following is(are) the solution(s) to | x-1|-8?A. X= 7.-9B. X = 9C. X = -79D. X = 7 Draw a model of square root of 12 using perfect squares