What is the reason for step 3 in the two column proof below
1. ZPQR is a right angle
1. Given
2. MZPQR = 90°
2. Definition of Right Angle
3. m_PQS + MZSQR = m_PQR
3. ?
4. MZPQS + m_SQR = 90°
4. Substitution Property of Equality
5. ZPQS and 2SQR are complementary 5. Definition of Complementary Angles
Definition of Congruent Angles
Vertical Angles Congruence Theorem
Angle Addition Postulate
Definition of Angle Bisector

Answers

Answer 1

Answer:

The correct option is;

Angle Addition Postulate;

Step-by-step explanation:

The given two column proof can be presented as follows;

Statement                      [tex]{}[/tex]                          Reason

1. ∠PQR is a right angle      [tex]{}[/tex]                     Given

2. m∠PQR = 90°       [tex]{}[/tex]                                Definition of Right Angle

3. m∠PQS + m∠SQR = m∠PQR      [tex]{}[/tex]         Angle Addition Postulate

4. m∠PQS + m∠SQR = 90°      [tex]{}[/tex]                 Substitution property of equality

5. ∠PQS and ∠SQR are complementary Definition of complementary angles

Given that the angle m∠PQR has angles m∠PQS and m∠SQR arranged adjacent to each other while sharing the same boundary segment, QS we have by the angle addition postulate;

m∠PQR is the sum of the angles m∠PQS and m∠SQR, therefore;

m∠PQR = m∠PQS + m∠SQR = 90°.


Related Questions

12) It takes Kendra 12 minutes to drive 6 1/3 kilometers. How many kilometers does Kendra drive per minute? SHOW YOUR WORK. A) 2 B)19/36 C)1/6 D) 2 1/3​

Answers

Answer:

36/19

Step-by-step explanation:

So to find this answer you have to divide 12 by 6 1/3. To figure that out I first turned 6 1/3 into an improper fraction (19/3) and then I put 12 over 1. To divide a fraction you have to multiply the dividend by the divisors reciprocal in this case 12/1 x 3/19 which equals 36/19 or 1 and 17/19

Hope this helps lol :D

I need help solving this​

Answers

Answer:

the correct answer is true luv

Answer:

True bye the way see u in musd school district

On Wednesday, a local hamburger shop sold a combined total of 282 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Answers

Answer:

The annswer is 94 hamburgers

Step-by-step explanation:

hope you have a nice day

Which point on the number line below is the opposite of
3?
loo
A
B
с
D
-2.
-1
0
1
2
Ο Α
B
С
OD

Answers

Step-by-step explanation:

point c

..................

i dont get 4 digit by 1 digit multiplcation​

Answers

Answer:

we know

Step-by-step explanation:

In the equation 4x + 5 = 21, what does x =

Answers

Answer:

X=4

Step-by-step explanation:

In the equation, you have to subtract 5 from both sides.

4x + 5 = 21

     -5      -5

4x=16

Then you gotta get rid of the X so divide the 4 from both sides. That gets you X=4

Answer:

x=4

Step-by-step explanation:

21-5=16

16/4=4

PLEASE HELP!!!!!!!!

What is the value of x

3x+14+5x-2=10x-18

Thank you sooooo much have a blessed day

Answers

X = 15
have a wonderful day =)

Please help (4x - 1)(2x + 3)

Answers

Answer:

There the answer is simplified and I used Cymath it goes down step by step.

Step-by-step explanation:

I hope I helped! :)

Answer = (1.5, 0.25)

Find y
A. 18
B. 12
C. 6
D. 4.5

Answers

Answer:

D. 4.5

Step-by-step explanation:

brainest plz

50=5x−3−8x−7
what is X?

Answers

Answer:

x = -20

Step-by-step explanation:

Solve for x:

50 = 5 x - 8 x - 7 - 3

Grouping like terms, 5 x - 8 x - 7 - 3 = (5 x - 8 x) + (-3 - 7):

50 = (5 x - 8 x) + (-3 - 7)

5 x - 8 x = -3 x:

50 = -3 x + (-3 - 7)

-3 - 7 = -10:

50 = -10 - 3 x

50 = -3 x - 10 is equivalent to -3 x - 10 = 50:

-3 x - 10 = 50

Add 10 to both sides:

(10 - 10) - 3 x = 10 + 50

10 - 10 = 0:

-3 x = 50 + 10

50 + 10 = 60:

-3 x = 60

Divide both sides of -3 x = 60 by -3:

(-3 x)/(-3) = 60/(-3)

(-3)/(-3) = 1:

x = 60/(-3)

The gcd of 60 and -3 is 3, so 60/(-3) = (3×20)/(3 (-1)) = 3/3×20/(-1) = 20/(-1):

x = 20/(-1)

Multiply numerator and denominator of 20/(-1) by -1:

Answer: x = -20

Answer:

x=-20

Step-by-step explanation:

Combine like terms and solve for x.

50= -3x-10

60= -3x

x=-20

PLEASE HELP SEE PHOTO
[-00,-3] or (6,o)
(-οο,-3] or [6,o)
(-0,-3) or (6,o)
(-η, -3] or (6, ω)

Answers

The correct answer is B because it is a closed dot which means it’s bracketed on the 3

A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship between the amount of oil and the amount of vinegar needed to make salad dressing according to this recipe. The point ( 1, 1.5) is on the line.
a. Label the axes appropriately with the quantities they represent.
· b. Write an equation that represents the proportional relationship between oil and vinegar. Indicate the meaning of each variable.
Equation: ​ ___________________________________________________________ ·c. Explain the meaning of the point (1, 1.5) in terms of the situation.
​Explanation:​ __________________________________________________________


What's B and C?? Please help.

Answers

a.(answer):

Y represents table spoons in oil and the X represents the table spoons in vinegar.

b.(answer):

oil needed is one(1) tablespoon the amount of vinegar used is 1.5 tablespoons to make the salad dressing the correct and for it to be proportional.

linear equation

y = 3/2x

c.(answer)

For every 1 tablespoon of vinegar there is 1.5 table spoons of oil X=1,Y=1.5.

Learn more about the vinegar and oil here:

https://brainly.com/question/1967340

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What is the solution of the system of equations?

Help

Answers

Answer:

(0, 5)

Step-by-step explanation:

5(–9x + 1) + 5 = –10x + 5(–7x + 2)

Answers

Answer:-

here's the answer

Match the correct items. 1. checkbook record outstanding checks 2. service charge register 3. previous and ending balances reconciliation 4. verifies bank and checkbook balances agree once a month 5. bank statement monthly fee 6. not included in bank statement account summary

Answers

Answer:

I will answer below:

Step-by-step explanation:

Checkbook Record -> Register

Service Charge -> Monthly Fee

Previous and ending balances -> Account Summary

Verifies bank and checkbook

balances agree -> Reconciliation

Bank Statement -> Once a month

Not included in the bank statement -> Outstanding checks

Sorry this is kind of late!

If you use Desmos and know the answer to this question, please help me.

Answers

Answer:

Step-by-step explanation:

If you look at Desmos you will see that when you put in the (x,y) coordinates in the x,y positions in your inequality that lines your plot and the shaded areas are different. If you put in each of the coordinates in the inequality you will see all the differenences between the shaded and the lines. I would do that in Desmos and you should be able to figure it out. There is an example picture below.

I hope this helps!

If you have any questions or need any help, please ask.

Use the given information to solve for x.

x+3
2x-9
What is x?

Answers

Answer:9

Step-by-step explanation:

While on vacation in Dallas, Texas, the cab ride for the DFW airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cab driver charges $1.50 permile for the entire trip. Write an equation that can be used to determine how much a cab ride would cost anywhere in Dallas.

Answers

Answer:

c=1.50x+3, where:

c=total cost of a cab ride anywhere in Dallas.

x=number of miles

Step-by-step explanation:

From the information given, you can multiply the price per mile for the number of miles:

1.5*15=22.5

You know that the total cost of the cab ride for the DFW airport to the hotel was 25.50:

25.50-22.50=3

This indicates that there is an additional charge for $3.

From this, you can say that the total cost of a cab ride anywhere in Dallas would be equal to the price per mile for the number of miles plus 3. According to this, the equation to calculate the total cost of a cab ride would be:

c=1.50x+3, where:

c=total cost of a cab ride anywhere in Dallas.

x=number of miles

What are the solutions to the quadratic equation 5x2 – 8= –12x?

Answers

djjdjdjeiwiwueuwhhww

-1/6 or -0.166666667 (both work but first one is recommended.)

PLS HELP ME 80 - 4^2 ÷ 8

Answers

Answer:

I think it's 79

Step-by-step explanation:

.... Hi don't be mad if you get wrong

Answer:

80 - 16 ÷ 8   80 - 2= 78

Step-by-step explanation:

Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last month, how many tablespoons did she use this month?

Answers

Answer:

180 tablespoons

Step-by-step explanation:

240×.25=60

240-60=180

Answer:

180

Step-by-step explanation:

Consider the graph showing two functions.
Which answer can be used to find the solution to the system of equations?

Answers

According to the graph, it is found that it represents the solution of the following system:

Option B [tex]x=\frac{9}{x}[/tex] is correct.

What are system of equations?

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

The equations in the system can be linear or non-linear.

In the graph, two equations intersect at [tex]x = -3[/tex] and at [tex]x = 3.[/tex]

One is a straight line, in which the x-coordinate is equals to the y-coordinate, thus it is the line [tex]y = x.[/tex]

The other is an exponential equation, that goes to 0 as x goes to infinity, so x is in the denominator. At [tex]x = -3, y = -3,[/tex] and at [tex]x = 3, y = -3.[/tex] Thus, the function that has this graph is [tex]\frac{9}{x}[/tex], which means that the correct option is:

B  [tex]x=\frac{9}{x}[/tex].

Find out more information about system of equations here

brainly.com/question/16768849

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y = - x + 7 on a graph

Answers

Answer:

(See the attachment)

Step-by-step explanation:

None

ILL MARK AS BRAINLESS HELP PLS

Answers

Answer:

14

Step-by-step explanation:

140/56 is 2.5, in order to get 175 we need an extra 35 dollars, each hotdog is worth 2.5, 35/2.5 is 14, 14 hotdogs

14 just like the other guy i’ll comment so h can give him brainliest 140/56

Please anwser and show a explanation

Answers

Answer:

3x + 2y is <to 30

(the second answer)

Step-by-step explanation:

So basically the x is going to be the first thing mentioned, so roses, which are 3$. 3x. Carnations are going to he 2nd and so therefore represented by Y. 2y.

3x + 2y (you're adding them)

It says she does not want to spend more than 30$ and so because there is no less than or equal to sign, it would be the first answer.

Ellie and Jamie like to bake cookies. Ellie baked 24 chocolate chip cookies, and Jamie baked p peanut butter cookies. Together they baked a total of 56 cookies. Write an equation that can be solved for p to find the number of cookies Jamie baked?

Answers

p would equal total cookies minus the total chocolate chip cookies:

p = 56 -24

p = 32

There were 32 peanut butter cookies made.

WILL MARK BRAINLIEST!!!!!! Which of the following graphs represents a function?

Answers

Answer:

C

Step-by-step explanation:

Find the value of 3.4(4 + 7) + 23 – 2.67.

Answers

Answer:

The answer is 42.73

Step-by-step explanation:

The math really isn't that hard. And also I had answered the question before and got it correct. :))

Answer:

42.73

Step-by-step explanation:

A bike rental company rents beach bikes. They charge an initial fee plus $1 for each hour the bike is rented. Chad rented a bike for six hours and was charged $10. How much is the initial fee?-I need help with the first step and I NEED HELP ASP!!

Answers

Answer/Step-by-step explanation:

Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.

Now check your work:

(1 x 6) + 4 = 10

4 * 8-5 =12 symbols to make true number sentences

Answers

Using Pedmas  to get the equation to be true add parenthesis around the 8-5:

4 x (8-5) = 12

This becomes 4 x 3 = 12 which is true.

4x3 =12; true . 4x (8-5)=12
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