Two angles whose measures have a sum of 90° are called complimentary angles. Let x and y represent the measures of complimentary angles. Use this information and the equation given in the problem to find the measure of each angle. x = 5y

Answers

Answer 1

9514 1404 393

Answer:

x = 75°y = 15°

Step-by-step explanation:

The correct description of the angles is complementary. "Complimentary" is something else.

  x + y = 90 . . . relationship of complementary angles

  x = 5y . . . . . given

  5y +y = 90 . . . . substitute for x

  y = 15 . . . . . divide by 6

  x = 75 . . . . . use x=5y

Angle x is 75°; angle y is 15°.


Related Questions

h(x)=4log2(x−6)+1

All real numbers greater than____

Answers

[tex]\huge\underline\mathfrak\blue{Answer:-}[/tex]

The demoin is all real numbers greater than 6

The domain of the function is "All real numbers greater than 6".

What are logarithmic functions?

Any exponential function may be represented in logarithmic form because logarithmic functions are the inverses of exponential functions.

The given equation is h(x) = 4log2(x-6) + 1.

The domain is the set of values that can be inserted into a function.

Note that the logarithmic of a negative number is not defined, therefore, the expression inside the log, x-6, must be greater than 0.

x - 6 > 0

x > 6

Hence, the domain of the function is "All real numbers greater than 6".

Learn more about the logarithmic functions:

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The complete question is:

What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.

All real numbers greater than______

Find the area of each figure.

Answers

Answer:

1).6cm squared

2). 36 cm squared

3).787.5

(im not sure 3 is correct)

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The scale drawing of a building has a width of 3 inches and a height of 5 inches. If the width of the actual building is 36 feet, what is the height?

Answers

Answer:

The actual height is 720 feet.

Step-by-step explanation:

36 × 12 = 432

432 ÷ 3 = 144

144 × 5 = 720

Write an equation of the line that passes through the given point and has the given slope. (1,-5); slope: - 2/3 SLOPE INTERCEPT FORM​

Answers

Answer:

y  =   [tex]-\frac{2}{3}[/tex] x -  [tex]-\frac{13}{3}[/tex]

Step-by-step explanation:

Given dimensions:

   Slope  = [tex]-\frac{2}{3}[/tex]  

  Coordinates  = (1, -5)

Now;

 Equation of the line through the given points;

   

Solution:

 The equation of a line is given as;

          y  = mx + c

x and y are the coordinates

m is the slope

c is the intercept

 So;

  let us find the y-intercept;

           -5  =  [tex]-\frac{2}{3}[/tex]   x 1 + C

             c  = -5 + [tex]\frac{2}{3}[/tex]  = [tex]-\frac{13}{3}[/tex]

The equation of the line is ;

  y  =   [tex]-\frac{2}{3}[/tex] x -  [tex]-\frac{13}{3}[/tex]

Please helppppp!! Find the midpoint of the segment with the following end points (-2,7) and (2,3)

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt( \: 0 \: ,5 \: )}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

First, Let's explore about Midpoint :

Midpoint of the segment simply means middle point of a line segment. Formula of Midpoint :

[tex] \boxed{ \sf{(x _{ \: m \: } ,\: y_{m}) = ( \frac{x_{1} + x_{2}}{2} ,\: \frac{y_{1} + y_{2}}{2} )}}[/tex]

where ,

[tex]( \sf{x_{ \: m \: } ,\: y _{ \: m \: })}[/tex] = co-ordinates of the midpoint

[tex]( \sf{ x_{ \: 1 \: }, \: y_{ \: 1 \: }})[/tex] = co-ordinates of the first point

[tex] \sf{(x _{ \: 2 \: } ,\: y_{ \: 2 \: })}[/tex] = co-ordinates of the second point

The Midpoint Formula is used to find the exact center point between two defined points in a line segment.  The Midpoint formula is quite simple , so you should easily be able to remember it. It won't matter which point you pick to be the 'first" point you plug in. Just make sure that you're adding both an x to an x and a y to a y. Hence, keep in mind , in order to find the midpoint of a line segment, the first step is to add both ' x - co-ordinates' and divide it by 2 and then the second step is to add both ' y - co-ordinates ' and divide it by 2.

Now, Let's solve it!

Question :

Find the midpoint of the segment with the following end points ( - 2 , 7 ) and ( 2 , 3 ).

Step - by - step explanation :

Let P ( x , y ) divide the line joining the points A ( - 2 , 7 ) and B ( 2 , 3 ). Now, let :

A ( - 2 , 7 ) → ( x₁ , y₁ )B ( 2 , 3 ) → ( x₂ , y₂ )

Apply midpoint formula , then plug the values and lastly simplify it :

[tex] \sf{ midpoint \: = \: ( \frac{x _{ \: 1 \: } + x _{ \: 2 \: }}{2} ,  \: \frac{y_{ \: 1 \: } + y _{ \: 2\: }}{2} })[/tex]

➺ [tex] \sf{midpoint = ( \frac{ - 2 + 2}{2},  \: \frac{7 + 3}{2} )}[/tex]

➺ [tex] \sf{midpoint = ( \frac{0}{2} ,  \: \frac{10}{2} )}[/tex]

➺ [tex] \boxed{ \sf{ midpoint = ( \: 0 \: , 5})}[/tex]

Hence , The midpoint of the segment with the end points A ( - 2 , 7 ) and B ( 2 , 3 ) is ( 0 , 5 ) .

Hope I helped!

Have a wonderful time ッ

~TheAnimeGirl ♡

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(1) One side of a Rhombus measures 13 cm what is its perimeter
(2) The diagonals of a rhombus measues 6 cm and 8 cm,what is the perimeter of this rhombus
(3) MULTIPLE CHOICE: A Rhombus is labeled ABCD ,which line segment could be a diagonal: a) AB b) BC c) AC d) CD
(4) A square is both a rhombus and a rectangle TRUE or FALSE
(5) A Rhombus is labeled ABCD if the slope of AD is 2/3 what is the slope of BC
(6) A Rhombus is labeled ABCD if the slope of AC is 1/2 what is the slope of BD

Answers

Answer:

I want to get point

Step-by-step explanation:

can you help

which equation represents the same line as the table

Answers

Answer:

I think the second one I may be wrong tho

The answer should be A.)
*please mark brainliest If correct :-)

Which of the following numbers is not a factor of 2004?
/4
/6
/8
/12

Answers

8 is not a factor or 2004

Answer:

8

Step-by-step explanation:

least to greatest :)

Answers

Answer:

2^1 + 3^1, 2^3 - 2^1 and 3^2.

Step-by-step explanation:

3^2 = 9.

2^3 - 2^1 = 8 - 2 = 6.

2^1 + 3^1 = 4.

Find the slope of the line through the points (10, 4) and (4, 15)
FIRST TO ANSWEEER GETS BRANLIEST PLZ HELP

Answers

I think it’s 24 I’m not sure

Answer:

I think it's 11/6 I think so

Brian invests £1500 into his bank account. He receives 0.2% per year simple interest. How much will Brian have after 6 years? Give your answer to the nearest penny where appropriate

Answers

Answer:

18

Step-by-step explanation:

£1500x6×0.2%=18

you multiple the amount and the year first and multiple the percentage and the answer will be 18

Which of the binomials below is a factor of this trinomial?
x^2+ 8x + 16
O A. X+ 8
O B. X+4.
O C. X-4
O D. X-8

Answers

A

Do you need a explanation or just a answer?
x+4

because

4•4 is 16
4+4=2

its a perfect square trinomial

Select the correct answer.
What is the equation of a line that passes through (7, 8) and has a slope of -3?
OA y=-3x+29
OB y=3x + 13
Ocy=((3)x - 299
D. 'y=(1/(3)x- 13

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

SOMEONE PLZ HELP I HAVE TO TURN THIS IS BY 12:00
Mark ran a race at a local park. The distance was 5 Km. Mark learned from his awesome math teacher that 1 Km = 0.62 miles. Based on this, how many miles can he tell his parents that he ran at the race?

Answers

So what you do is make a fraction with the conversation between miles and km with km on the bottom to cancel out the units and multiply the fraction by the amount of km

5km (.62miles/1km) = 3.1 miles

Estimate the square root to the nearest integer.

Answers

Answer:
3
Explanation:
3^2 is equal to 9, and 4^2 is equal to 16, so sqrt(10) must be in between 9 and 16. Since 10 is closer to 9 than to 16, sqrt(10) is closer to 3 than 4, which means that to the nearest integer sqrt(10)=3

Is 700% of 5 less than 10, greater than 10 but less than 100, or greater than 100? Explain your reasoning.

Answers

It is greater than 10 but less than 100. 700% of 5 is 35.

Answer:

Greater than 10 but less than 100

Step-by-step explanation:

700% of 5 = 35

35 is greater than 10

but less than 100

Hope this helps! <3

4 rolls of paper towels for $5.00. how much is the cost per roll ?

Answers

Answer:

$1.25

Step-by-step explanation:

cuz 5 divided by 4 is 1.25

douple check - 1.25 times4 is 5!

Answer:

1.25

Step-by-step explanation:

If we divide the amount it costs for 4 rolls (5), by the amount of rolls bought (4), we get 1.25, which is the correct!

Don't do 4 divided by 5, or you would be saying 5 rolls bought for 4 bucks!

−4p − (1 − 6 p)
Please explain. I will give brainliest. I honestly don't understand how to do this.

Answers

Answer:

2p − 1

Step-by-step explanation:

I think, sry is its wrong. Do you have possible answrs?

-4p - (1 - 6p) = -4p - 1 + 6p = -4p + 6p - 1 = 2p - 1

Item 3 Amelie's bird cage is shaped like a rectangular prism. The cage has a height of 26 inches and a volume of 7,280 cubic inches. Amelie puts a piece of newspaper on the bottom of the cage. The newspaper fits the bottom of the cage perfectly. What is the area of the newspaper on the bottom of the cage?

Answers

Answer:

Step-by-step explanation:

The Volume of a rectangular prism is expressed as;

V = Base area * height of prism

Given

Volume of prism V = 7,280 cubic inches.

height of prism = 26in

Required

Base Area

Substitute the given parameter into the formula;

7280 = 26B

B = 7280/26

B = 280in²

Hence the area of the newspaper on the bottom of the cage is 280in²

Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.​

Answers

Answer:

6tg67g76g76g76

Step-by-step explanation:

Answer:

There are 2 steps:

1. 90° counterclockwise rotation about the origin

2. Translation downward 2 units

Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

2. Translation downward 2 units = (x, y) to (x, y-2),

D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

What is the annual interest earned on a $4,000 deposit with a simple interest rate of 3%?

Answers

Answer:

120

Step-by-step explanation:

it would be 3880

Step-by-step explanation:

32. At a fast food joint, five cheeseburgers and two large shakes cost $23. At
the same fast food joint, three cheeseburgers and three large shakes cost
$21. What is the costs of a cheeseburger, and what is the cost of a large
shake? Show all work in the space provided.
yoression

Answers

Answer:

multiple choice?

Step-by-step explanation:

Answer:

Cheesburger costs $3. Shake costs $4.

Step-by-step explanation:

c is cheesburger and s is large shake.

5c+2s=23

3c+3s=21

15c+6s=69

-6c-6s=-42

9c=27

c=3

A bakery produced two batches of bread with 80 loves in each batch. It sold 30 loves each hour. How many loves of bread were sold in 4 hours? How many loves of bread were left to sale

Answers

Answer:

-120 loves of bread were sold in 4 hours.

-40 loves of bread wereleft to sale.

Step-by-step explanation:

To determine the amount of loves of bead that were sold in 4 hours, you have to mutiply the amount of loves sold each hour for 4:

30*4=120

This means that 120 loves of bread were sold in 4 hours.

Now, to determine the amount of loves of bread left to sale, you have to find the amount of loves produced on the two batches of bread by multiplying the amount produce in each batch for 2:

80*2=160

Finally, you have to subtract the amount of loves sold in 4 hours from the amount produced in two batches:

160-120=40

According to this, 40 loves of bread were left to sale.

Angela baked cookies. She gave 1/3 of them to her sister, and she put 5/8 of the remaining cookies in the freezer. If she had 1 dozen cookies left, how many cookies did she bake?

Answers

Answer:

We find the fraction of a number by doing two steps: first, multiply the whole number by the numerator, and then divide the product we get by the denominator.

multiplying fraction by a number

Let's solve real-world problems about fractions of a number.

Word Problem Examples

cookies

Jane baked 24 chocolate chip cookies. She gave 1/3 of the cookies to her neighbor. How many cookies did she give to her neighbor?

What is the problem asking us to do?

That's right!

We need to figure out what 1/3 of 24 is.

1/3 of 24 is the same as this:

24 × 1/3 = ?

First, multiply 24 by the numerator:

24 × 1 = 24

Then, divide the product we got by the denominator:

24 ÷ 3 = 8

✅ Now we know that she gave 8 cookies to her neighbor.

Here are more questions about this problem:

Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. How many cookies did she give to her parents? How many cookies did she eat?

The problem tells us to figure out two things:

- the number of cookies that Jane gave to her parents,

- the number of cookies that Jane ate.

But first, we have to find out how many cookies were left, after Jane gave some away to her neighbor.

She started with 24 cookies and gave 8 cookies away.

Let's subtract:

24 - 8 = 16 cookies

So, Jane had 16 cookies left.

How many cookies did Jane's parents get if she gave them 3/4 of 16?

3/4 of 16 is the same as this:

16 × 3/4 = ?

First, multiply 16 by the numerator:

16 × 3 = 48

Then, divide the product we got by the denominator:

48 ÷ 4 = 12

✅ Jane gave 12 cookies to her parents.

Now, let's find out how many cookies Jane ate.

We know that Jane ate all the cookies that were left.

She had 16 cookies. Then, she gave 12 to her parents.

How many are left?

We need to subtract to figure this out:

16 - 12 = 4

✅ Jane ate 4 cookie

She baked 48 cookies in total as obtained by forming a numerical expression of the statement.

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.

Given that, Angela baked x cookies.

She gave 1/3 of them to her sister, and she put 5/8 of 5/8th of the remaining cookies in the freezer.

x - (1/3)x - (2/3)×(5/8)x = 12.

x - (1/3)x - (5/12)x = 12.

(2/3)x - (5/12)x = 12.

(8x - 5x)/12 = 12.

3x = 144.

x = 48

learn more about numerical expressions here :

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Plssss helpppp!!! I’ll give brainliest

Answers

need a question dog can’t do nun

15. Which of the following systems has no solution?
A. 3x – 2y = - 16x – 4y = 6
B. -x + y = 12x – 3y = 4
C. 4x + y = 7x + 4y = 4
D. 3x – 4y = 2 - 2x + 4y = 9

Answers

Answer:

A. has no solution

Step-by-step explanation:

Please Help Me With A Paper For Math Class!!!

Answers

Answer:

a. 38

b.95

c.57

Step-by-step explanation:

Determine the length of the diagonal side of the roof truss. The height of the roof truss is 6.3m and the full span of the roof truss is 16.4m.

Answers

Answer:

7.96

Step-by-step explanation:

what is the answer real quick

Answers

Answer:

19

Step-by-step explanation:

2d + 3      d = 8

2(8) + 3

16 + 3

19

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