In the following figure, m || QR. Then, the measure of ∠QPR is

In The Following Figure, M || QR. Then, The Measure Of QPR Is

Answers

Answer 1

Given:

m || QR

To find:

The measure of ∠QPR.

Solution:

Since m || QR and a transversal line intersect them, therefore the alternate interior angles are equal.

Let points S and T lie on the line m. S is on the right and T is on the left side of point P.

[tex]m\angle RPS=m\angle PRQ[/tex]

[tex]m\angle RPS=45^\circ[/tex]

Now, angles TPQ, QPR and RPS lie on the one side of a straight line. It means, their sum is 180 degrees.

[tex]m\angle TPQ+m\angle QPR+m\angle RPS=180^\circ[/tex]

[tex]50^\circ+m\angle QPR+45^\circ=180^\circ[/tex]

[tex]m\angle QPR+95^\circ=180^\circ[/tex]

[tex]m\angle QPR=180^\circ-95^\circ[/tex]

[tex]m\angle QPR=85^\circ[/tex]

Therefore, the measure of angle QPR is 85 degrees.


Related Questions

Write and graph an equation in two variables that shows the relationship between the time and the distance.

Moves 15 meters in 1 second.

Answers

Answer:

The relation between the time and the distance will be:

y = 15x

The graph of the equation y = 15x is attached below.

Step-by-step explanation:

We know that the equation of linear function in two variables in the slope-intercept form is

y = mx+b

where

m is the rate of change or slope b is the y-intercept

Let y be the distance

Let t be the time

Given that the object moves 15 meters in 1 second.

Thus, the rate of change or slope = m = 15

As there is no initial condition in our case.

Thus the y-intercept b = 0

Now, substituting m = 15 and b = 0 in the linear function

y = mx+b

y = 15x + 0

y = 15x

Therefore, the relation between the time and the distance will be:

y = 15x

The graph of the equation y = 15x is attached below.

Examples:

Calculate the distance in 1 second

put x = 1 in the equation

y = 15(1) = 15 meters

Calculate the distance in 10 second

put x = 10 in the equation

y = 15(10) = 150 meters

-7 2/3 + (-5 1/2) + 8 3/4 =
A.-21 11/12
B.-4 5/12
C. -4 2/4
D. 6 7/12

Answers

Answer: B. -4 5/12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=32

Answers

Answer:

y = 32x + 198

Step-by-step explanation:

The fastest way to go about this is to establish "m" and plug in the coordinates you want.

y = 32x + b

6 = 32 (-6) + b

6 = -192 + b

198 = b

y = 32x + 198

please help me out with this question!!
show your work!!​

Answers

The answer is 3 5/4 or 4 1/4 hope this helps

20y + 5x=15 solve for x

Answers

Answer:
The answer you are looking g for is X=3

Answer:

Step-by-step explanation:

15=5x+20y

Simple and best practice solution for 15=5x+20y equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

18. On Faith's math test, she received
a 85%. If there were 40
questions on the test, how many
did she get right?

Answers

Answer: 40/10=4

That means 10% of 40 is 4.

Know that means you have to times 4 by 8

4x8=32

Now you know what 80% of 40 is.

Now we need to know what the 5% is. So if 4 is 10% . 5% must be 2.

Next we have to add 2 to 32.

32 + 2 = 34

Answer is 34

Step-by-step explanation:

Write the algebraic expression 9r+2 as a verbal expression​

Answers

Answer:

We conclude that the algebraic expression 9r+2 can be verbally expressed in many ways such as:

Two more than 9 times a number, r.9 times a number, r, increase by 2.

Step-by-step explanation:

Given the algebraic expression

9r+2

We know that 9r is the product of 9 and 3.

Thus,

9r+2 can be verbally expressed in many ways such as:

Two more than 9 times a number, r.

or it can be also verbally expressed such as:

9 times a number, r, increase by 2.

Therefore, we conclude that the algebraic expression 9r+2 can be verbally expressed in many ways such as:

Two more than 9 times a number, r.9 times a number, r, increase by 2.

What is the slope of the line shown below?

Answers

Answer:

[tex]m = \frac {1}{4}[/tex]

Step-by-step explanation:

Slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1, y_1) = (-3, -1) \ \ and \ \ (x_2, y_2)= (5, 1)[/tex]

Slope can be calculated as

[tex]m = \frac{1-(-1)}{5-(-3)}[/tex]

[tex]m = \frac{2}{8} \\m = \frac {1}{4}[/tex]


13.
What is the image of E for a dilation with center (0,0) and a scale factor of 6?
(-30, 1)
(30, 6)
(-30, 6)
(30, -1)

Answers

Answer:

1- -5, 7

2- 5,12

3- -5,0

4- 5,-7

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

-30,6

:)

an elementary school had an election for student council member 60 5th grade students will learn of student council election if 2/3 of students who voted for girls how many boys were there in the student council election ​

Answers

Answer:

20

Step-by-step explanation:

Simplify:

8x+3(x+5)−5(x−4)

Answers

Answer:

6x+35

Step-by-step explanation:

Answer:

6x + 35

Step-by-step explanation:

8x + 3x + 15 - 5x + 20

11x - 5x + 15 + 20

6x + 35

Please mark as Brainliest!!!

out of these numbers which of them differ by 46. 29,17,38,71,35,63,24

Answers

Answer:

71

Step-by-step explanation:

Add 46 to each number, see if the sum is in the list. In the set of 7 numbers listed, two of them are even (24 and 38), and the other 5 numbers are odd

71

We do not need to look at all differences.

We need to find two numbers fairly far appart,

and not all look promising.

You could look at approximate differences,

or you could look at the last digit.

71-35 and 63-17 are the only promising differences,

because 71 and 63 are the only numbers large enough to be 46 more than another number in that list,

and when you calculate the last digit you calculate

11-5=6 and 13-7=6.

71-35=36

Which of the following is a linear function

(Flvs)

Answers

Answer:

The second one

Step-by-step explanation:

a linear function is one who's graph is a straight line.

A parabola is not linear.

Anything in the form k/x is not linear either.

5/6x = y-4

gives

y = 5/6x+4, which is a linear equation

Heyy guys having trouble with this im new to it from today . If u dont mind helping :)

Answers

Answer:

76

Step-by-step explanation:

total=180

180-104=76

Which expression has three terms when simplified?
2xy
2 + xy
2x + x + y
2 + x + x - y

Answers

Answer:

3x+y

Step-by-step explanation:

hope this helps!

On Monday, the temperature was 40°F. On Tuesday, the temperature increased 3°F. On Wednesday, the temperature decreased 15°F. What integer represents the overall change in temperature from Monday to Wednesday?

Answers

Answer:

Step-by-step explanation:The answer is - 12 because the temperature started changing when it raised 3+ and then it changed again by dropping -15 so, then you do 3-15 and that equals (-12).

+8.2+​(−7.9​)=

−7.2+​(+6.4​)

+5.7+​(+​3.5)

−5.7+​(−​3.5)

−5.7+​(+​3.5)

+5.7+​(−​3.5)

Answers

Answer:

Step-by-step explanation:

7

6-

Progr

5

4-

Introdu

3

С

2

1+

1

20

Transla

-7 -6 -5 -4

-32

1

À 3 4 5 6 7

-2

-3

Quiz 1

-4+

A

-5

Unit

Do 5 problems

Convert the fractions to decimals using long division 4/7

Answers

Answer:

0.57142857142

Step-by-step explanation:

it goes on and on tho

Answer:

= 0.57142

Step-by-step explanation:

We have the equation:

4 ÷ 7 = 0.57142

Calculated to 5 decimal places.

PLEASE HELP!!!
need the answer soon!

Answers

It would be E, 11 because when you subtract the other by 8 the answer would be less than or equal to 2

Answer:

E. 11

Step-by-step explanation:

Replace the m with 11.

11-8[tex]\leq[/tex] 2  this would simplify to

3 [tex]\leq[/tex]2 which is false.

However if you took m and replaced it with 10

10-8[tex]\leq[/tex]2 and simplified

2[tex]\leq[/tex]2 which is true. Therefore any number 10 or lower would make this true.

The radius of a circle is 12 m what is the area

Answers

Answer:

The area is 452.3

Step-by-step explanation:

A= 3.14r2

A= 3.14 times 12~2

A= 452.2

SOMEBODY FAST ITS DUE 8:00 I WILL MARK YOU HAS BRAINLIEST

Answers

THE ANSWER IS 15.1 HOPE that helps

Answer:

15.1

Step-by-step explanation:

The equation to solve this is 12.3 - -2.8. Since there are two negatives, it becomes a positive.

Therefore the equation becomes 12.3 + 2.8 and the answer is 15.1

Simplify the expression (3.5x - 2.7y) + (-12.8x + 15.8y)

Answers

Answer:

-9.3x + 13.1y

Step-by-step explanation:

(3.5x - 2.7y) + (-12.8x + 15.8y) = 3.5x - 2.7y - 12.8x + 15.8y =

= 3.5x - 12.8x - 2.7y + 15.8y = (3.5 - 12.8)x - (2.7 - 15.8)y =

= -(12.8 - 3.5)x + (15.8 - 2.7)y = -9.3x + 13.1y

because

-(-a) = a

-(a + b) = -a - b

-(a - b) = -a + b = b - a

a + (-b) = a - b

Solve each equation.
3) 4= 2x + 3.x

Answers

Answer:

Step-by-step explanation:

2x+3x=4

5x=4

x=4/5

Answer: x=4/5

Explanation: Switch sides 2x+3x=4
5x=4b. Divide both sides by 5
5x/5 =4/5
x=4/5

At 7:00 am, the temperature was -4°F. At 9:00 am, it was 8' warmer. What was the temperature at 9:00 am?​

Answers

4 degrees I’m adding fluff because I need 50 characters but it’s negative math

a sphere has a volume of 4500 cubic inches. What is the radius off the shpere

Answers

Answer:

The radius of sphere with volume 4500 cubic inches is 10.24 inches.

Step-by-step explanation:

Let V be the volume of the sphere

Given

Volume of sphere = V = 4500 cubic inches

Let r be the radius of the sphere

The volume of the sphere is given by the formula

[tex]V = \frac{4}{3}\pi r^3[/tex]

Putting the known values

[tex]4500 = \frac{4}{3} * \frac{22}{7} * r^3\\4500 = \frac{88}{21} * r^3\\r^3 = \frac{21}{88} * 4500\\r^3 = 1073.8636[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{r^3} = \sqrt[3]{1073.8636} \\r = 10.2403[/tex]

Rounding off to nearest hundredth

The radius is: 10.24 inches.

Hence,

The radius of sphere with volume 4500 cubic inches is 10.24 inches.

Which is the mode of this data? 12, 19, 22, 17, 15, 18, 15, 14, 16​

Answers

Answer: 15

Step-by-step explanation:

The mode of the data set 12, 19, 22, 17, 15, 18, 15, 14, 16​ will be 15.

What is mode of data?

A mode is described as the result in a group of items that occurs most frequently.

The data is given below.

12, 19, 22, 17, 15, 18, 15, 14, 16​

Arrange the data in ascending order.

12, 14, 15, 15, 16, 17, 18, 19, 22

Then the mode of the data set will be 15.

More about the mode of data link is given below.

https://brainly.com/question/22660714

#SPJ2

I need help with this please​

Answers

-1 i think, sorry if it’s wrong i’m not 100% sure

Which method would be appropriate to factor the polynomial below. 55x^3-40x^2 -Difference of Squares -Basic Trinomial Factoring -AC Method -Sums of Cubes -Greatest Common Factor -Factors by grouping

Answers

Answer:

Greatest Common Factor

Step-by-step explanation:

Let [tex]55\cdot x^{3}-40\cdot x^{2}[/tex], we proceed to demonstrate the appropriate form to factor the polynomial:

1) [tex]55\cdot x^{3}-40\cdot x^{2}[/tex] Given.

2) [tex](5\cdot 11)\cdot (x^2\cdot x) +[5\cdot (-8)]\cdot x^{2}[/tex] Definition of multiplication and subtraction/[tex]a^{b+c} = a^{b}\cdot a^{c }[/tex]/[tex]-a\cdot b = (-a)\cdot b[/tex]/Associative property

3) [tex](5\cdot x^{2})\cdot (11\cdot x)+ (5\cdot x^{2})\cdot (-8)[/tex] Commutative and associative properties

4) [tex]5\cdot x^{2}\cdot (11\cdot x-8)[/tex] Distributive property/Definition of subtraction/Result

Hence, we conclude that this polynomial can be factored by Greatest Common Factor.

IN NEED OF HELP PLZ :(((((((((

Answers

Answer:

Slope is 2 and Y-intercept is 3

Step-by-step explanation:

I use the slope formula

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{3-1}{0-(-1)}[/tex]=[tex]\frac{2}{1} =2[/tex]

Answer:

rawwwwwww

Step-by-step explanation:

GIVING BRAINLIEST TO WHOEVER GETS QUESTION 8 AND 9 RIGHT!!

Answers

Answer:

1 toonie 1 quarter 1 dime

2 loonies 1 quarter 2 dimes 1 nickel

Step-by-step explanation:

Answer:

C

none of the others are correct for 9

Step-by-step explanation:

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