Complementary angles are two angles that have measures with a sum of 90°. Angles P and Q are complementary and the measure of angle P is 6° more than twice the measure of angle Q.



Write a system of equations and use substitution to find the measures of angles P and Q.

Input Field 1 of 1

Answers

Answer 1

Answer:

P = 62°   Q = 28°

Step-by-step explanation:

Let x = measure of angle Q

then y = measure of angle P

Now  x + y = 90  and 2x + 6 = y

Substituting 2x + 6 from the second equation in for y in the first equation, we get x + 2x + 6 = 90 since the two angles are complementary.

3x + 6 = 90

3x = 84

x = 28

y = 2(28) + 6 = 56 + 6 = 62

Check:  28 + 62 = 90


Related Questions

Be prepared!!! Help please!!!! What is 1/3x 3.14x6^2x11 equal????

Answers

I believe it’s 414.48

If Isabelle chooses to read 5 books
with a total of 1260 pages, how much would she earn? And also I need the equation someone help I have to submit it by 10:30 :(

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Answer:

I really don't know I just wanna know to

You expected to walk 80 km in a day. You walked only 75 km. What was the percentage error?
596
6.25%
6.6796
93.3396

Answers

Answer:

Um my answer is 6.66666666667, so you could use this to help you (sorry i didn't get actual answer)

Step-by-step explanation:

Find the area of a square with the side lengths of (1/2x+2)

Answers

Answer: There are no like terms

Step-by-step explanation:

HELP ASAP!!!! HELP HELP

Answers

Answer:

proportional

Step-by-step explanation:

Answer:

I'm 99% sure it's Non-Proportional

Step-by-step explanation:

If you were to convert each of them into fractions and simplified them, they wouldn't be equivalent.

a line that has (1,0) and (1,7) as endpoints​

Answers

What’s the question

p-(p-q)-q-(q-p)

can any one write down the answer with explanation I'll also mark brainliest​

Answers

Ans:
p - (p - q) - q - (q - p)

= p - p + q - q - q + p

= - q + p


Notes:

- x - = +

+ x - = -

- x + = -

+ x + = -


‘+’ means a positive number
‘-’ means a negative number
‘x’ means times

Hope it helps:)

Hiro painted his room. After 3 hours of painting at a rate of 8 meters per hour, he head 28 square meters left to paint.

Answers

Answer:

3 hours x 8 meters = 24 meters + 28 meters = 52 meters

52 / 3 = 17 and 1/3 hours.

Brainiest plz?   :)

any help *more than one answer*

Answers

Answer:the first one and the fourth one

Step-by-step explanation:

the 1 and 4 one no thing else ... ! no cap

Simplify (n-1) + n

Easy.

Answers

Answer:

2n - 1

Step-by-step explanation:

you add the 2 ns to get 2n then you  add the 1 to the equation to make

2n - 1

Paula is the student council member responsible for planning an outdoor dance. Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food.
Question 1: Band A charged $600 to play for the evening and Band B changers $350 plus $1.25 per student.
Write a system of equations to represent the cost of the two bands.

Answers

Answer:

Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food. Question 1: Band A charged $700 to play for the evening and Band B changers $550 plus $1.50 per student.

Step-by-step explanation:



Write the equation of the line perpendicular to y = -31 - 1 that passes through the point (3,4).

Answers

y= (1/3)x+3

Step-by-step explanation:

i think u mean y= -3x-1

the line perpendicular to the given line is -3.m2= -1

m2=1/3 y-4=1/3(x-3)

y= (1/3)x+3

The cost of renting a bowling alley for a party is $110, plus $5 a person for food. Which equation can be used to find the total cost, C, of a party at a bowling alley for x friends?

Answers

Answer:

c=110+5x

Step-by-step explanation:

The equation that represents the total cost is C = 5x + 110.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expense of leasing a bowling alley for a party is $110, in addition to $5 an individual for food.

Let 'C' be the total cost and 'x' be the number of friends. Then the equation is written as,

C = 5x + 110

The equation that represents the total cost is C = 5x + 110.

More about the Algebra link is given below.

https://brainly.com/question/953809

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After a 40% discount, the cost of a sofa is $471.00. What was the original cost of the sofa? NEED HELP ASAP

Answers

Answer: $659.40

Step-by-step explanation: You start with 471.00 X 0.4 which equals $188.40. So then you add $471.00 and $188.40 and you get $659.40!

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

80% = $471

100% = $588.75

The original cost of the sofa is $588.75

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Original cost in percentage = 100% ____(1)

Cost after 40% discount = $471

This can be written as,

80% = $471 _____(2)

From (1) and (2) we get,

80% = 471

Multiply 100/80 on both sides,

100/80 x 80% = 100/80 x 471

100% = $588.75

Thus,

80% = $471

100% = $588.75

The original cost of the sofa is $588.75

Learn more about percentages here:

https://brainly.com/question/11403063

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WILL MARK BRAINLIEST!!!

This is a continuation to the other question

Answers

Answer:

m=86 degrees

x=98 degrees

Step-by-step explanation:

1:

the angles of a triangle are 180

180-71-23=86

m=86

2:

the angles of a triangle are 180

180-52-30=98

x=98

hope this helps and is right!

I’m confused about this question

Answers

angle B is 102° bc 180-78=102 and if sides DB and BC are congruent, angles D and C must also be, so you can use the original 78 and divide by 2 to get 39° for angle C

What is the value of y= 1/2x-1 x=4

Answers

Answer:

Y = 1

Step-by-step explanation:

X = 4

1/2 * 4 = 2

2 - 1 = 1

So, Y is equal to 1.

Hope this helps! :)

Answer:

The answer is 1

Step-by-step explanation:

1/2*4-1

2-1

1

At the mall in Miami, Roberto found a jacket he liked. The normal price was $120, but the jacket was on sale for 40% off. If Roberto has $50 to spend, does he have enough to buy the jacket? If not, how much more money does he need?

Answers

Answer: No,   He will need $22 to add to his money to  buy jacket.

Step-by-step explanation:

Normal price  of jacket =$120,

New price = 40% off  which means 40% Less than the Normal price

 = 40/ 100 x 120

=0.4 x 120 = 48; 120 -48= $72

New Price = $72

Therefore Roberto with $50 to spend does not have enough to buy the jacket

He will need $72- $50 =$22  to add to his money to  buy jacket.

What is this number in standard form?

(5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)

Answers

Standard form of given expanded form of a number is 16518.

What is meant by expanded form?

The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.

Given

Expanded form = (5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)

We have to convert the expanded form into standard form

= 5000 + 70 + 8 + 440 + 11000

= 16518

Thus, standard form of given number is 16518.

Find out more information about expanded form here

https://brainly.com/question/1637442

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Answer:

16,518

(or  1.6518 x 10⁴)

Step-by-step explanation:

Expanded form:  The digits of a number are split into individual digits based on their place value.  Each digit of a number can be written in  multiple of 1, 10, 100, 1000, etc.

Standard form:  The combination of digits written together as a single number.

The given number is not quite, but almost, written in expanded form:

(5 × 1,000) + (7 × 10) + (8 × 1) + (4 × 110) + (1 × 11,000)

For it to truly be written in expanded form, the (4 × 110) would be written as (4 × 10) + (4 × 100) and the (1 × 11,000) would be written as either (11 × 1,000) or (1 × 10,000) + (1 × 1,000).

If the number should be written in standard form as defined above, carry out the operations in the parentheses, then add them together:

[tex]\large\begin{array}{l c r}8 \times 1 & = & 8\\7 \times 10 & = & 70\\4 \times 110 & = & 440\\5 \times 1000 & = & 5000\\1 \times 11000 & = & 11000\\\cline{3-3}& & 16518\end{array}[/tex]

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However, in math there is another type of Standard Form (also called "Scientific notation") that is written in the form of [tex]a \times 10^n[/tex], where  [tex]1\leq a < 10[/tex]  and  [tex]n[/tex] is any positive or negative whole number.

To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 ([tex]n[/tex]).

If the decimal point has moved to the left, the power is positive.

If the decimal point has moved to the right, the power is negative.

To convert 16518 into standard form:

Move the decimal point 4 places to the left and multiply by 10 to the power of the number of places the decimal was moved (4):

1.6518 x 10⁴

-----------------------------------------------------------------------------------------------------

**I have provided both standard forms, as it is not clear from the question which is required.**

Lawrence deposits 512$ in saving account that earns 1.5% commission how much money would be in his account after 2 years

Answers

Answer:

$519.68

Step-by-step explanation:

(512$ × 1.5)/100

=$7.8

512$+ $7.8

= $519.68

combien de morceaux de 15cm peut on découper dans une ficelle de 1cm ?​

Answers

Answer:

English translate for my help please??!

Step-by-step explanation:

h + 9.3 = −9.3? please solve it for me

Answers

Answer:H+9.3 = -9.3 : H = -18.6 (pls brainless)

Step-by-step explanation:

Subtract 9.3 from both sides.

H + 9.3 - 9.3 = -9.3 - 9.3

Simplify:

H= -18.6

move the the terms not containing h to the right side the equation.

h=-18.6

-18.6+9.3=-9.3

So yes the answer to h+9.3=-9.3 is correct

Need help with this.​

Answers

Answer:

try restart it and charge it to the max and then try change the internet source likeopen hotspot and see

Find the probability of rolling a 3 when you toss two fair 6-sided dice and add the result from each die.

Answers

Answer:

would it be 2/12 or 1/6 of a chance of getting a three

HELP NEEDED ASAP GIVING BRAINLIEST AND PLEASE EXPLAIN

Answers

Answer: (B is the answer.

Step-by-step explanation: The graph I attached corresponds with B.

Cross -3 by -2.

Together, the areas of the rectangles sum to 30 square centimeters.
3 cm
2 cm
cm
y cm
1. Write an equation showing the relationship between 3 and y.
Type the equation in the box below.
I

Answers

Answer:

3x+2y

Step-by-step explanation:

Find the rectangles attached

Area of a rectangle = Length * Width

A = A1+A2

given

A = 30cm²

A1 = 3 * x

A1 = 3x

A2 = 2*y

A2 = 2y

Substitute

30 = 3x+2y

Hence the required equation is 3x+2y = 30

Answer: 3x + 2y = 30

Step-by-step explanation:

A = L x W

The sum of the rectangle is 30.

One angle is 3 and x, the other one is 2 and y.

Multiply 3 with x = 3x.

Multiply 2 with y = 2y

Then create your equation plugging in 30 as the answer to 3x + 2y

How do I find x in this question?

Answers

Answer:

x = 8

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{3}{x - 2} = \frac{x}{x + 8} \\ \\ x(x - 2) = 3(x + 8) \\ \\ {x}^{2} - 2x = 3x + 24 \\ \\ {x}^{2} - 2x - 3x - 24 = 0 \\ \\ {x}^{2} - 5x - 24 = 0 \\ \\ {x}^{2} - 8x + 3x - 24 = 0 \\ \\ x (x - 8) + 3(x - 8) = 0 \\ \\ (x - 8)(x + 3) = 0 \\ \\ x - 8 = 0 \: \: or \: \: x + 3 = 0 \\ \\ x = 8 \: \: or \: \: x = - 3 \\ \\ \because \: length \: can \: not \: be \: - ve \\ \\ \implies \: x \neq - 3 \\ \\ \implies \: x = 8[/tex]

Can you please answer it tysm

Answers

Answer is B $1.75, hope this helps!

what place value is 7 in 7,000.2

Answers

Answer:

thousands place

Step-by-step explanation:

Have a nice day


what is the value of x

Answers

Answer:

72

Step-by-step explanation:

72 since it has to opposite parall sides

Answer:

72

Step-by-step explanation:

The angles are equal because the sides are equal.

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