Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle PQR = ?

Answers

Answer 1

Answer:

[tex]PQR = 140[/tex]

Step-by-step explanation:

Given

[tex]XYZ = 2X[/tex]

[tex]PQR = 8X - 20[/tex]

Required

Find PQR

Since both angles are supplementary, we have:

[tex]XYZ + PQR = 180[/tex]

This gives:

[tex]2X + 8X - 20 = 180[/tex]

[tex]10X - 20 = 180[/tex]

Collect Like Terms

[tex]10X = 20 + 180[/tex]

[tex]10X = 200[/tex]

Divide through by 10

[tex]X = 20[/tex]

Substitute 20 for X in [tex]PQR = 8X - 20[/tex]

[tex]PQR = 8 * 20 -20[/tex]

[tex]PQR = 140[/tex]


Related Questions

Which function below is the inverse of f(x)= 3x+5/7

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \frac{3x+5}{7}[/tex]

Put f(x) = y

[tex]y = \frac{3x+5}{7}[/tex]

Interchange x and y

[tex]x = \frac{3y+5}{7}[/tex]

Solve for y

[tex]x = \frac{3y+5}{7}[/tex]

Multiplying both sides by 7

[tex]7x = 3y+5[/tex]

Subtracting y to both sides

[tex]7x-5 = 3y[/tex]

Dividing both sides by 3

[tex]\frac{7x-5}{3} = y[/tex]

OR

[tex]y = \frac{7x-5}{3}[/tex]

Put y = [tex]f^{-1}(x)[/tex]

So,

[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]

Hope this helped!

~AnonymousHelper1807

8. Fill in the blank. The ___
form of the equation of a line with a slope
m passing through (x1y1) is y- y1= m(x-x1).

Answers

is it point slope form

An ice cream truck drive truck driver made $23 in one hour. She the spent $35 for gas. What is the difference?

Answers

Answer:

$12

Step-by-step explanation:

Step 1:

$35 - $23

Answer:

$12

Hope This Helps :)

What is the measure of AC? A. 5 units B. 13 units C. 26 units D. 39 units

Answers

Answer:

is 26 bc i had misclicked it on edge and got it right

The measure of AC is 26 units.

Hence, option (C) is correct.

What is quadrilateral?

A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.

In the given quadrilateral,

Side AD = 8X - 1, CD = 6X + 9

And  AB = 3x - 2

According to given diagram,

AD = CD

8x -1 = 6x + 9

2x = 9 + 1

2x = 10

x = 5

The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13

The figure ABCD is a symmetrical figure,

Therefore,

AB = BC

AB = BC = 13

The required side AC = AB + BC

= 13 + 13

= 26

The length of the side AC is 26 units.

To know more about Quadrilateral on:

https://brainly.com/question/29119487

#SPJ2

What is the domain of the absolute value f(x) equals -.5 |X -2|-4

Answers

Answer:

Domain: All Real Numbers or (-∞, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that any value of x can be plugged into the function.

∴ Our answer is all real numbers

Explain why this is not a function

Answers

Answer:

because that is equivalent to the not operator

PLEASE HELP WILL GIVE BRAINLIEST -

A, B, and C are the centers of the three circles. Which
line segment is congruent to HF?

Answers

the answer would be DF

The line segment congruent to line HF will be  DF. The correct option is C.

What is congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

Therefore, the line segment congruent to line HF will be  DF. The correct option is C.

To know more about congruency follow

https://brainly.com/question/2938476

#SPJ2

what is the solution to the equation:
4/3 times 2/3​

Answers

Answer: [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

When you multiply fractions, it is the same as adding or subtracting, but you don't have to worry about having a common denominator. All you have to do is multiply straight across and simplify.

[tex]\frac{4}{3}*\frac{2}{3} =\frac{8}{9}[/tex]

Now we know the answer is [tex]\frac{8}{9}[/tex].

Answer:

8/9

Step-by-step explanation:

The answer is 8/9 because:

1) Whenever we multiply fraction, we have to multiply the numerator and the denominator together: numerator x numerator/denominator x denominator

2) Therefore, 4 x 2/ 3 x 3 = 8/9

Hope this helps! :D

La Tonya has 16 photos in her purse, and Luís has p photos in his wallet. They have a total of 37 photos

Answers

Answer:

21

Step-by-step explanation:

(p)=37-16

The perimeter of the triangle is 13 inches. What is the length of the shortest side?

Answers

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

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

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

Am I correct with this?

Answers

Answer:

no

Step-by-step explanation:

u can cut the trapesoid in half and make it into a rectangle then get ur answer

Angles A and B are supplementary. If angle A= 137° then angle B is

Answers

Answer:

43°

Step-by-step explanation:

Angles A and B are supplementary

i. e. angle A + angle B =180°

137° + angle B =180°

angle B=180°-137°

=43°

R is the midpoint of AM. If RA = x2 - 16x and MR = 80, find x.

Answers

Answer:

x = - 4 or x = 20

Step-by-step explanation:

Given R is the midpoint of AM, then

RA = MR , substitute values

x² - 16x = 80 ( subtract 80 from both sides )

x² - 16x - 80 = 0 ← in standard form

(x - 20)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 20 = 0 ⇒ x = 20

x + 4 = 0 ⇒ x = - 4

Make an exponential model y(t) with the given properties. Assume that t is the number of periods.
The initial value is 460, and there is a 6% decrease each period.

Answers

Answer:

y(t) = 460(0.94)^t

Step-by-step explanation:

Use the basic exponential decay form, Y = a(1 - b)^x, where a is the starting amount/y-int, b is the growth/decay rate, and x is amount of time/periods.

Plug in the values we know:

y(t) = 460(0.94)^t will be the exponential model

The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

Calculation of an exponential model:

Since

The initial value is 460, and there is a 6% decrease each period.

So here we use the basic exponential decay form i.e.

[tex]Y = a(1 - b)^x,[/tex]

here a is the starting amount

y is interest

b is the growth/decay rate,

and x is amount of time/periods.

So,

[tex]y(t) = 460(0.94)^t[/tex]

hence, The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

Learn more about model here: https://brainly.com/question/24499895

Which answer is the simplified version of this : 5 exponent 3 x 25

Answers

Answer:

3,125

Step-by-step explanation:

[tex] {5}^{3} \times 25 \\ = {5}^{3} \times {5}^{2} \\ = {5}^{2 + 3} \\ = {5}^{5} \\ = 3,125[/tex]

Explain why 20 + (-12) + 12 is the same as 20 + 0??

Answers

Answer:

Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero

Step-by-step explanation:

-12 and 12 result in the number zero just like the second problem. Hope that makes sense :)

When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the plzza 8 of these slices would be in decimal form. ​

Answers

Answer:

the answer is 0.5, or about 50%

Step-by-step explanation:

If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.

Hope this helps

Answer: 0.5

Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza

Please Help!! 10 points! Brainliest answer

Answers

Answer:

Its letter B

Step-by-step explanation:

Least to greatest PLEASE IM STRUGGLING AS IS WITH THE COMPUTER

Answers

Answer

Least to Greatest order by options: 3, 2, 4, 1

Step-by-step explanation:

Option 3 is 1/2 therefor its 0.5

Option 2 is 4.4

Option 4 is 10

Option 1 is 13.14

And that's put in least to greatest order.

my handwriting is kinda bad sorry but i hope this helps :)

How much will the taxi driver earn if he takes one passenger 4.8 miles and another passenger 7.3 miles? Explain your process.

Answers

Answer:

35.225 I believe

Step-by-step explanation:

You can always check on Slader.


a) Another name for Plane P is:

Answers

Answer: “ACB”

Step-by-step explanation: I took the quiz/test

A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line?

–3
–2
2
3

Answers

Answer:

is 2

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:

What is 7 9/27 in simplest form

Answers

Answer:

7 1/3

Step-by-step explanation:

the 7 stays but 9/27 can be simplified into 1/3 because you divide both 9 and 27 by 9

-3 - 3x = -4(2x + 7)

Answers

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

Create a story problem for 388 - 235

Answers

Answer 153

Step-by-step explanation:

There are 388 pencils. Jake takes away 235 how much does he have left.

Answer: jake has 388 pencils and you took 235 away from him. How many pencils does he have?

Step-by-step explanation:

Simplify (-1)(-1)(-1)

Answers

Answer:

[tex]-1^{3}[/tex]

Step-by-step explanation:

Answer:

Simplified -1^3, Solution: -1

Step-by-step explanation:

Since you have to multiply -1*-1*-1 then the answer would be -1. Simply because when simplifying the equation -1*-1 is 1 (remember that when multiplying two negatives it adds to a positive). Then you multiply 1*-1 which comes out to be -1 as the answer. I hope this helps, if you need further explanation please comment below.

please help me answer this i need asap

Answers

Answer:24 xexponet 3 − 5

Step-by-step explanation:

In “The Raven and the First Men: The Beginnings of the Haida,” which evidence best helps the reader infer that the Haida might find it acceptable behavior to play tricks on one another?

Answers

Answer:

The story presents Raven's trick against the Sky Chief in a matter-of-fact manner.

Step-by-step explanation:

The myth shows what they find valued or acceptable in their culture.

Due tonight
Please help!!!!!​

Answers

angle BGC and angle BAD

Evaluate 2x + xy + 2-3 for x=-9, y=-5, and
z=-3.

Answers

Hi! Keep in mind there is no z in the equation so the question might trick you!

The answer is 26

Here is the process:

1. Replace the variables with the numbers they gave you.

2(-9)+ (-9)(-5)+ 2-3

2. Next evaluate it. I got 45 because a negative multiplied by a negative makes a positive.

* PEMDAS states you addition and then subtraction but it could vary based on the equation.

In this equation you have to do addition first.

-18+ 45+2-3

27+2-3

29-3

26

I hope this helps! Have a great day :)
Other Questions
Which quotation from The Diary of a Young Girl supports the idea that Anne wants to be more independent? 4y-8-2y=42x+7=x-1-3x+7=x-12x-1-1=x-3-(-5+x)10=x+6+2x 3+3x-(x-2)=3x+4-4+3x-1=2x+1+2x-(x+3) = 2x-6no need for an explanation just please answer then I need help for every single one Which is a scholarly source for an informative essay on African American musicians? a blog that posts fan reviews of new music releases a book on the history of jazz music in the United States a message board that discusses American rock bands a website that includes videos of interviews with musicians describe how the colony of New york was governed [tex]x { }^{2} < x + 2[/tex]interval notation What was an achievement of the Aztecs?A. utilizing a well-developed writing systemB. developing the numeral zeroC. the use of an aqueductD. developing the first calendar Use integers to represent the values in the statement.The highest elevation in a country is a mountain, with an altitude of 14,240 feet. The lowest elevation in the country is a valley, with an altitude of 285 feet below sea level.The integer represents the mountain's altitude, measured in feet. 2.How did the mass contamination affect wildlife in the area? if a/b = 4/3 and b/c = 2/3, what is a,b, and c? 1. A well-known Texan,,was responsible forestablishing the National Wildflower Research Center in Austin. started with total assets of and total liabilities of . At the end of , total assets stood at and total liabilities were . Requirements 1. Did the stockholders' equity of increase or decrease during ? By how much? 2. Identify the four possible reasons that stockholders' equity can change. Requirement 1. Did the stockholders' equity of increase or decrease during ? By how much? (Enter a decrease with a minus sign or parentheses.) Change in stockholders' equity during the year is Help me with this one ASAP 11(k-1) 7(k-y) help fast ASAP IM STUCK PLESEE ALSO NEED TO SHOW WORK The density of manganese is 7.21 g/cm^3 . What is the density in kg/m^3 ? (dimensional analysis) Steve wants to create a system of equations so that the system has no solution. Which of these can Steve do? Check all that apply. A.Create a pair of equations same slope and different y-intercepts. B. Create a pair of lines in which one line lies directly on top of the other. C. Create a pair of equivalent equations. D. Create a pair of lines that will always stay the same distance apart. E. Create a pair of lines that intersect at only one point. the sum of 3 numbers is 114. the second number is 4 times the third the third number is 6 more than the first (3 + 5i) + (11 -7i) Write answer in standard form a +bi What does The Moral Logic of Survivor Guilt teach us about relationships What are 7 examples of grammar conventions. How many ships did Christopher Columbus use his entire career?