12. Complete the two-column proof.
Given: m 22 m23
Prove: m21-m24
Statements
Reasons
1. m 2 = m23
1.
Given
2.
2. m2 1 + m22 = 180°
m23 + 24 = 180°
3. m2 1 + m2 = m23 + m24
3.
4. m21 = 24
4.

12. Complete The Two-column Proof. Given: M 22 M23Prove: M21-m24StatementsReasons1. M 2 = M231.Given2.2.

Answers

Answer 1

Answer:

supplementary

vertical angles

sub

Step-by-step explanation:

Answer 2

The missing reasons for the given two column proof are respectively;

Reason 2; Definition of Supplementary angles

Reason 3; Substitution Property of Equality

Reason 4;Subtraction Property of Equality

How to complete the two column proof?

From the two column proof, we are given that;

m∠2 = m∠3

Now, for m∠1 + m∠2 = 180°, we see that m∠1 and m∠2 are on a straight line and we know that angles on a straight line sum up to 180°. Thus, the reason is because they are supplementary angles.

Similarly, m∠3 and m∠4 are on a straight line and as such;

m∠3 + m∠4 = 180°

m∠1 + m∠2 = m∠3 + m∠4. This is true because of substitution property of equality.

Lastly, since m∠2 = m∠3, then it means that they will cancel out in the statement 3 and as such we now have;

m∠1 = m∠4. The reason is subtraction property of equality

Read more about two column proof at; https://brainly.com/question/1788884


Related Questions

This table shows the input and output values for a linear function f(x).



What is the difference of outputs for any two inputs that are one value apart?




−30

−25

1

20

Answers

Answer: two of them  are positive and negative

Step-by-step explanation: because there is -30 and -25 that is negative and 1 and 20 that are positive

Solve each equation. Check your solution.


3x 32 = 7x + 28

Answers

Answer:

x= 28 /89

Step-by-step explanation:

3x(32)=7x+28

Step 1: Simplify both sides of the equation.

96x=7x+28

Step 2: Subtract 7 from both sides.

96x   7x+28

−7             −7

89x=28

Step 3: Divide both sides by 89.

89x /89 = 28 /89

Explore transformations of the basic exponential function y = 2 Superscript x, shown right. First, change the slider for h to positive values such as 1, 2, or 3. The curve shifts h units

Answers

Answer:

right

left

up

down

Step-by-step explanation:

Answer:

right

left

up

down

Step-by-step explanation:

A quiz had 20 questions. Andre scored 16 of them correctly. What was
Andre's percent score? *

Answers

Answer:

He got an 80 percent.

Step-by-step explanation:

I believe it’s 80%.

An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the past 3 years. The pmf of Y is:


y 0 1 2 3
P(y) 0.50 0.25 0.20 0.05

Required:
a. Compute E(Y) and V(3Y−10)
b. Suppose an individual with Y violations incurs a surcharge of $(95Y2−25). Calculate the expected amount of the surcharge.
c. What is the standard deviation of surcharges?

Answers

Answer:

a.

E(y)=0.8

V(3y-10)=7.74

b.

The expected amount of surcharge is 117.5.

c.

The standard deviation of surcharges is 217.6723.

Step-by-step explanation:

a.

y          0      1      2    3

p(y)    0.5 0.25 0.2 0.05

y*p(y)  0    0.25 0.4 0.15

E(y)=sum(y*p(y))=0+0.25+0.4+0.15

E(y)=0.8.

y²          0      1      4    9

y²p(y)   0 0.25 0.8 0.45

V(y)=E(y²)-[E(y)]²

E(y²)=sum(y²*p(y))=0+0.25+0.8+0.45=1.5

V(y)=E(y²)-[E(y)]²

V(y)=1.5-[0.8]²

V(y)=1.5-0.64

V(y)=0.86

V(3y-10)=9V(y)=9*0.86=7.74

V(3y-10)=7.74

b.

E(95Y²-25)=95E(Y²)-25=95*1.5-25=142.5-25=117.5

E(95Y²-25)=117.5

The expected amount of surcharge is 117.5.

c.

SD(95Y²-25)=?

SD(95Y²-25)=√V(95Y²-25)

V(95Y²-25)=95²*V(Y²)

V(95Y²-25)=9025*V(Y²)

V(Y²)=E[(Y²)²]-[E(Y²)]²

y^4          0      1      16    81

y^4*p(y)   0  0.25   3.2 4.05

E[(Y²)²]=sum(y^4*p(y))=7.5

V(Y²)=E[(Y²)²]-[E(Y²)]²

V(Y²)=7.5-[1.5]²

V(Y²)=7.5-2.25

V(Y²)=5.25

V(95Y²-25)=9025*V(Y²)

V(95Y²-25)=9025*5.25

V(95Y²-25)=47381.25

SD(95Y²-25)=√47381.25

SD(95Y²-25)=217.6723

The standard deviation of surcharges is 217.6723.

(4,-6), y=-3 over 4x+1

Answers

Answer:

x= -3

​4((4,−6)y−1)

Step-by-step explanation:

hope this helps :))

For Mother's Day the Flower Shoppe ordered 390 white roses, 1,100 red roses, 500 yellow carnations, and 560 pink roses. How many roses were ordered in all?​

Answers

2550 is the answer to the question. You just add the numbers and it equals 2550

10,160,555 round off to the nearest hundred thousand

Answers

Answer:

10,200,000

hope it helpd

Determine whether the following statement is true or false. 11 – 7 ≠ 4 and 2 – 0 > 0

Answers

Answer:

12

Step-by-step explanation:

The price of a set of headphones is $79.00 plus 8% sales tax. What is the sales tax on this set of headphones in dollars and cents?

Answers

Answer: $6.32

Step-by-step explanation:

$79.00 x .08 = $6.32 sales tax

-3.2 x -5.6 x 4? PLEAEE HURRY!!!

Answers

Answer:

= −5.6^4 − 3.2x

Step-by-step explanation:

Answer: 71.68

Step-by-step explanation:

If you multiply the 2 negative numbers it will be 17.92 because the two negatives cross each other out. Multiply 17.92 and 4 it will be 71.68. Hope that helps!

PLEASE ANSWER THIS
ASAP!

Answers

Answer:

30 and 6

Step-by-step explanation:

Help! (There should be a photo)

Answers

It’s c I think but have a great day

A fox can run at a speed of 42 miles per hour. How many feet per hour is this per hour is this? (There are 5,280)

Answers

Answer:

22/175

Step-by-step explanation:

42 = 1

5,280 = ???

5,280 x 1 : 42= 22/175

4. Find the slope and y-intercept.
y= 1/5 x + 4

Answers

Answer:

The slope is [tex]\bold{\frac{1}{5}}[/tex] and the y-intercept is [tex]\bold{4}[/tex].

Step-by-step explanation:

We are given an equation in slope-intercept form (y = mx + b).

In this equation, we can define the following variables:

m = slopeb = y-intercept

The slope in an equation and of a line is the rise over run of a line. The numerator of the fraction will be how many y-coordinates the line will ascend or descend (depending on the sign). The denominator will signify how many x-coordinates the line will move to the left or the right.

The y-intercept is the coordinate at which the line crosses the y-axis. The value of x is 0 and the coordinate can be positive or negative.

Therefore, by looking at our equation, we can see that [tex]\frac{1}{5}[/tex] is the slope, and 4 is the y-intercept.

The Cheer Team is cooking for a breakfast fundraiser. They know that 22 pancakes can feed 8 people. They are wondering how many people they can serve with 220 pancakes (assuming everyone gets the same number of pancakes

Answers

Answer:

220 pancakes could feed 80 people.

Step-by-step explanation:

Since the Cheer Team is cooking for a fundraiser breakfast, and they know that 22 pancakes can feed 8 people, to determine the number of people that can be fed 220 pancakes it is necessary to perform the following calculation:

22 = 8

220 = X

(220 x 8) / 22 = X

1760/22 = X

80 = X

Therefore, 220 pancakes could feed 80 people.

There are 24 cookies for the price of 3.50 what is the price of one cookie

Answers

Answer:

Tu divises 3.50$ par 24 cookies donc environ 14 centimes

Find the domain and range of the exponential function h(x) = –343x.

Explain your findings.

As x decreases, does h increase or decrease? Explain.

As x increases, does h increase or decrease? Explain.

Answers

The function is supposed to be;

h(x) = -343^(x)

Answer:

The domain will be a set of real numbers while the range will be y ≤ 0 and on the interval (-∞, 1)

As x is increasing, h is decreasing and as x is decreasing, h is increasing

Step-by-step explanation:

We are given the function as;

h(x) = -343^(x)

The formula is;

y = a^(x) since it's symmetrical to the x-axis

However in this case;

y = -a^(x)

Now, the domain is y and the range is a set of values of x.

I've attached a graph of this function drawn on desmos.

From the graph we can see that The domain will be a set of real numbers while the range will be on the interval (-∞, 1)

For a value of x = 0,we have;

h(0) = -343^(0)

h(0) = -343

When we increase the value of x to 3,we have;

h(3) = -343^(3)

h(3) = -40353607

When we decrease the value of x to -3, we have;

h(-3) = -343^(-3)

h(-3) = 0.00000002478

Thus, we can conclude that;

As x is increasing, h is decreasing and as x is decreasing, h is increasing

The area of this trapezium is 180cm?
Work out X.
9cm
13cm
12cm

Answers

Ok think the answer is 13 cm

7m - 3m-6 < 6 help pls​

Answers

Answer:

m < 3

Step-by-step explanation:

7m-3m - 6 < 6

4m < 6 + 6

4m < 12

4m ÷ 4 < 12 ÷ 4

m < 3

In a taste test, each sample serving of a new drink is about 50 milliliters The drink comes in a 1 liter
bottle About how many sample servings are in a bottle?

Answers

Answer:

Step-by-step explanation:

it is 25 [tex]25+125=50[/tex]

Answer:

20

Step-by-step explanation:

i had same test and got it wrong

Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a cup.

Write a multiplication equation to determine the number of people, p, who can be invited to the party. How many people can Clancy invite to his party if he needs a serving of yogurt as well?

Answers

Answer:

564 people can be invited to the party

Info-

Total number of cups of yogurt is 423 cups

1 serving = 3/4 pf a cup

Each guest gets 3/4 of a cup or 1 serving

We need to find out how many guests can be invited to the party

Cups : People

3/4 : 1

423 : p

CROSS MULTIPLY

3/4p = 423 times 1

3p = 423 times 4

p= 1,692/3

P would = 564

Why is 1/2 and 1/3 similar? Thank you!

Answers

1/2 and 1/3 are similar because 3/6 and 2/6 are similar. They are so close but not the same.

Can someone plzz help me with these two answers?

Answers

The answer to #5 is 171
The answer to #6 is -344

3×+4y=12
graph the equation.


A. write the equation in slope intercept form.
y=3/4×-3

B. identify the y- intercept.3

C. identify the slope.-3/4

Answers

Answer:

use desmos and then search up slope intercept calc to solve a

What is the x-intercept of the function that fits the values in the table below?

Answers

Answer:

can you pls post the table

NUMERATOR
DENOMINATOR

4/40

Answers

Answer:

4 = numerator

40 = denominator

Answer:

Step-by-step explanation:

here,

the numerator is 4 ( numerator is the no. on the top )

the denominator is 40 ( the denominator is the no. on the bottom )

Hope this helps

plz mark as brainliest!!!!!

Help it’s past due, sorry for the bad quality

Answers

Answer: The answer is B.

Step-by-step explanation:

Please help it’s due in 30 mins and I still have a lot more questions :(

Answers

Answer:

A

Step-by-step explanation:

(X,Y) It's the point where the lines intersect

solve: -5/9 - 2/9

please I really need this answer quickly​

Answers

Answer:

The answer is last option

Step-by-step explanation:

[tex] - \frac{5}{9} - \frac{2}{9} = - \frac{(5 + 2)}{9} = - \frac{7}{9} [/tex]

Answer:

3. -7/9

Step-by-step explanation:

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