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

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

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%.

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

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

Answers

Ok think the answer is 13 cm

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

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

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

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!!!!!

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

Answers

Answer:

12

Step-by-step explanation:

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.

Can someone plzz help me with these two answers?

Answers

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

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

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 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

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

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.

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.

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: -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:

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

Answers

Answer: The answer is B.

Step-by-step explanation:

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.

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

-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!

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

Answers

Answer:

can you pls post the table

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

Answers

Answer:

10,200,000

hope it helpd

Help! (There should be a photo)

Answers

It’s c I think but have a great day

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

Answers

Answer:

x= -3

​4((4,−6)y−1)

Step-by-step explanation:

hope this helps :))

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:

PLEASE ANSWER THIS
ASAP!

Answers

Answer:

30 and 6

Step-by-step explanation:

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