Which of the following statements are true? Select all that apply.
22 and 23 form a linear pair
21 and 24 are supplementary angles.
21+ 2+ 3 = 180
23 + 24 = 21+ 22
21 and 24 are vertical angles.

Which Of The Following Statements Are True? Select All That Apply.22 And 23 Form A Linear Pair21 And

Answers

Answer 1

Answer:

The only true statement is:

"∠3 + ∠4 = ∠1 + ∠2"

Step-by-step explanation:

When we have two lines intersect each other, there are 4 angles generated in the intersection.

Two vertical angles are angles whose only "contact point" is the intersection itself. The vertical angles are supplementary only if the two lines are perpendicular.

While a linear pair are two angles that are separated by one of the lines, and linear pairs are always supplementary.

Now let's look at the image and see which statements are true and which ones aren't.

"∠2 and ∠3 form a linear pair"

If we look at the image, we can see that ∠2 and ∠3 are not separated by one of the lines, ∠2 and ∠3 are vertical angles, then this statement is false.

"∠1 and ∠4 are supplementary angles"

Two angles are supplementary if the sum of the measures is equal to 180°, such that, as stated before, a linear pair of angles are supplementary angles.

In the case of ∠1 and ∠4, we can see that these angles are vertical angles, and we also can see that the lines are not perpendicular, then angles ∠1 and ∠4 are not supplementary.

"∠2 and ∠3 = 180°"

This is the same as saying that "∠2 and ∠3 are supplementary"

By the exact same reasoning than in the previous statement, we can find that this one is false.

"∠3 + ∠4 = ∠1 + ∠2"

We know that ∠1 and ∠2 are a linear pair, then ∠1 and ∠2 are supplementary angles, then:

∠1 + ∠2 = 180°

And we know that ∠3 and ∠4 also are a linear pair, and then also are supplementary angles, then we also have:

∠3 + ∠4 = 180°

Then is true that:

∠3 + ∠4 = ∠1 + ∠2

This statement is true.

"∠2 and ∠4 are vertical angles"

We can see that ∠2 and ∠4 are separated by one of the lines, then these angles form a linear pair.

The statement is false.


Related Questions

PLS HELPP
1.how many edges does it have?
2. how many vertices does it have?

Answers

Answer:

1. 8 edges

2. 8 vertices

Step-by-step explanation:

Answer:

the 3D image is a cuboid so no.of edges are 12 and no.of vertices are 8..

edges are the line segments and vertices are the corners...

Who ever answers gets to be brainlist anyways tell me how to mark you as brainlist?

Answers

Answer:

part W

you tap the person and it gives you that option

hope that helps I don't answer things for points I like to help and maybe

a classroom board is 30 inches wide and 20 inches tall. scott is putting ribbon along the outside edge of the board. how many inches will he need?

Answers

Answer: 100 inches

Step-by-step explanation: *warning* this is the way I do it. This might not be the best or easiest way, but it is an answer

30 inches wide

20 inches tall

30+30+20+20 = 100

you could also do 30*2 + 20*2

23. The probability that the vehicle is a motorcycle and not blue.
A. P(MNB)
B. P(BUM)
C. P(B)
D. P(BNM)

Answers

We need to see the full picture or question before being able to answer.

Helppppppppppppppppppppppppppppppppppppp

Answers

i believe its possibly zero.

Solve for x
7 x + 3 = 17

X= 2
x = 7
x = 20
x = 27

Answers

Answer:

27

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

7x + 3 = 17

7x = 17 - 3

7x = 14

7x ÷ 7 = 14 ÷ 7

x = 2

Please help me, no random answers or links, please.

Answers

Answer: -3

Step-by-step explanation:

To find the gradient...

Take any two points on the line and use the gradient fromula...

y2 - y1/ x2 - x1

Using points (0, 4) and (1,1):

1-4 / 1-0 = -3/1

Graident/slope = -3

Answer:

Step-by-step explanation:

(0, 4) (1, 1)

(1 - 4)/(1 - 0) = -3/1= -3

-3 is the slope

5 The regular price of a kite is $9.60. Today it is on sale at 1/3 off the regular price. What is the sale price of the kite? $​

Answers

Answer:

its 6.40

Step-by-step explanation:

PLEASE HELP ASAPPP!!

Answers

Answer:

A.

D: x [tex]\geq[/tex] -7

R: y [tex]\geq[/tex] -9

B.

D: x [tex]\geq[/tex] -3

R: All real numbers

C.

D: -10 < x < 10

R: -20 < y < 10

A hoodie normally costs $35. There is a 25% discount. What is the sale price of the hoodie ?​

Answers

Answer:

The new sale price is $26.25 dollars.

Step-by-step explanation:

Answer: $26.25

Step-by-step explanation:

multiply 35.00 by .25 or 25% and you get 8.75 and then subtract that from 35 to get $26.25

Hope this helps ! :)

Jennifer age 18 initially invested $1000 at 8% interest how old would she be when the account is $128,000

Answers

Answer:

2,304 years old

Step-by-step explanation:

Given: Jennifer age = 18, Invested = $1000 at 8% interest

To find: How old would she be when the account is $128,000?

Wrong solution

Solution: To figure out how old she will be when her account is $128,000, simply find the difference between her current account value by her current age, by dividing. Then multiply the result by the future account value.

Step 1: [tex]\frac{1000}{18} = 55.5555555556[/tex]

Rounding, that is; 55.56

Step 2: Now, multiply the result by the future account value.

[tex]55.56[/tex] × [tex]128000 = 7111680[/tex]

Correct solution

Solution: To find out how old she will be when her account is $128,000, set up a fraction;

[tex]\frac{1000}{8} = \frac{12800}{x}[/tex]

Step 1:  Divide the numbers

[tex]\frac{1000}{8} = \frac{128000}{x} \\\\\frac{500}{9} = \frac{128000}{x}[/tex]

Step 2: Multiply all terms by the same value to eliminate fraction denominators

[tex]\frac{500}{9} = \frac{128000}{x} \\\\x * \frac{500}{9} = x * \frac{128000}{x}[/tex]

Step 3:  Cancel multiplied terms that are in the denominator

[tex]x *\frac{500}{9} = x * \frac{128000}{x} \\\\x * \frac{500}{9} = 128000[/tex]

Step 4: Re-order terms so constants are on the left

[tex]x * \frac{500}{9} = 128000\\\\\frac{500}{9} x= 128000[/tex]

Step 5: Combine multiplied terms into a single fraction

[tex]\frac{500}{9} x = 128000\\\\\frac{500x}{9} = 128000[/tex]

Step 6: Multiply all terms by the same value to eliminate fraction denominators

[tex]\frac{500x}{9} = 128000\\\\9 * \frac{500x}{9} = 9 * 128000[/tex]

Step 7: Cancel multiplied terms that are in the denominator

[tex]9 * \frac{500x}{9} = 9 * 128000\\500

453-44:6*7/2-678
Heeeeeeelp

Answers

Answer:

[tex]\frac{-752}{3}[/tex]

Step-by-step explanation:

a 440m long road is being repaired at the end of 3 days the workers had repaired 3/4 of the road what length of the road is left unrepaired​

Answers

THE ANSWER IS 110 m

Workers had repaired 3/4 of the road

it means3/4×440 is been repaired

length of repaired road is 3×110 = 330m

length of unrepaired road = Length of to road - length of repaired road

i.e. = 440-330 = 110m

What's is 25/6 as an mixed number

Answers

Answer:

4 1/6

Step-by-step explanation:

6 goes into 25 4 times with one leftover converting to the extra 1/6th

Answer:

4 R 1

Step-by-step explanation:

Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an equation or proportion modeling the scenario. Do not solve the problems.


A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60.50. How much will the family leave their server as a tip?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34.00 before tax and tip, how much money will they save by using the coupon?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
A family of eight dines in a popular franchise restaurant. The restaurant has a policy of automatically including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58.25 in food and beverage sales, plus a standard tip of $10.49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?
A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94.20 and they used a 15% off coupon? (HINT: Create more than one model.) DONT ANSWER THE QUESTION JUST PUT THE EQUATIONS

Answers

Answer:

A) t=0.2(60.5)

B) d=0.15(34)

C) t=0.9(157.3)

D) p=100(10.49/58.25)

E) t=0.85(94.2+0.2(94.2))

Step-by-step explanation:

A)

Let the tip be represented by t. The tip is 20% of $60.50:

t=0.2(60.5)

B)

Let the money they save be represented by d. Their discount is 15% of $34:

d=0.15(34)

C)

Let the new total be represented by t. Their discount is 10%, so they will only be paying 90% of $157.30t:

t=0.9(157.3)

D)

Let the percentage be represented by p. The tip is $10.49, to find this as a precent of the $58.25 bill, divide the tip by the bill and multiply by 100:

p=100(10.49/58.25)

E)

First find the total after the tip but before the coupon.

Their tip is 20% of $94.20, and their total before the coupon is $94.20 plus the tip: 94.2+0.2(94.2)

Now find their final total.

Let the final total be represented by t. The discount is 15%, so they will only be paying 85% of the total after tip:

t=0.85(94.2+0.2(94.2))

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

76

Step-by-step explanation:

Write the equation of the circle graphed below.

Answers

Answer:

(x + 2)² + (y + 2)² = 0.75²

Step-by-step explanation:

Standard form

(x - h)² + (y - k)² = r²

the center is (h, k) = (-2, -2)

the radius is r = 0.75

(x + 2)² + (y + 2)² = 0.75²

Answer:

(x + 2)^2 + (y + 2)^2 = 0.5625

Step-by-step explanation:

By looking at the graph, we can see the center of the circle is (-2, -2) and by counting the squares, the radius is 0.75.

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can substitute our values in to get:

(x + 2)^2 + (y + 2)^2 = 0.5625

Which angle is supplementary to CFD?

Answers

Answer:

∠DFA or can be written as AFD : ( as long as the vertex F is in the middle)

Step-by-step explanation:

Supplementary angles are angles when added together form a straight line (180°)

CFD makes a small part of that straight line and DFA (AFD) make up the other part

Please help!!! Make up a word problem that the following equation could
represent:
5x + 9 = 44


Answers

Answer:

Marissa buys 5 bottles of soda which cost X, she also buys a 9 dollar meal. If her total cost was 44 dollars, how much does each bottle cost?

Step-by-step explanation:

Answer:

there was was 5 fish in the tank and a shipment of x amount plus nine recent babies were born? equaling to 44 in total?

Step-by-step explanation:

Josh filled his gas tank three times last week. Here are the amounts of gas he bought (in gallons).
7,9.84, 13.9
What is the total amount of gas Josh bought last week

Answers

7 +9.84 + 13.9 = 30.74 gallons of gas in a week

Helpppppp pleaseee this is timed. NO LINKS OR I WILL REPORT YOU please help I will mark you brainliest. Also please give an explanation please pretty please

Answers

Answer:

whats the question??

Step-by-step explanation:

Triangle LMN has the vertices shown on the coordinate grid.

What is the length of LM?

I’ll give BRAINLIEST

Answers

9514 1404 393

Answer:

  d. √74 units

Step-by-step explanation:

The distance formula is useful for finding the length of a line segment.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Filling in the point coordinates L(-5, -3) and M(0, 4), we find the length of LM to be ...

  LM = √((0-(-5))^2 +(4 -(-3))^2) = √(25 +49)

  LM = √74 . . . units

Which expression is equivalent to the one below?
12 - 11
O A. 12.1
O
O B. 11 0 1 / 2
O C. 132
O D. 11
12

Answers

Answer:

Hello! answer: A. 12 × 1/11

Answer:

A

Step-by-step explanation:

HELP PLEASE GOD HELP

Answers

Answer:

x=2, x=-8  : 2 will be taken as the answer as negative is discarded so C is the answer

Step-by-step explanation:

Apply Log Rules:

x(x+6)=16

Solve:

x=2, x=-8

Find the area of this
irregular figure.
9 ft
[ ? ] square feet
8 ft
15 ft
26 ft

Answers

Answer:

426 ft^2.

Step-by-step explanation:

It area = area of the rectangle + area of the triangle

= 15 * 26 + 1/2 * 8 * 9

= 390 + 1/2*8*9

= 390 + 36

= 426 ft^2.

The area of the figure given is 426 ft^2.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Area = Area of the rectangle + Area of the triangle

Area = 15 * 26 + 1/2 * 8 * 9

Area = 390 + 1/2*8*9

Area = 390 + 36

Area = 426 ft^2.

Therefore, the area of the figure given is 426 ft^2.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ5

Someone please help! No link answer please :(

Answers

Answer:

55 degrees (a)

Step-by-step explanation:

complementary means they equal 90 degrees

so 90-35= 55 degrees

if i have 12 apples, and then sally takes one, and billy takes 8, then i go pick 18 more apple but i eat 14, how many apples do i have? ANSWER THIS FAST!!

Answers

Answer:

7 apples is the correct answer I believe.

12 - 1 = 11
11- 8 = 3
3 + 18= 21
21 - 14 = 7

your answer is 7

44 points for answer

Answers

Answer:

30 m vertically and 10 horizontally for a rectangle in a corner of the warehouse.

PLEASE HELP! Image below

Answers

Answer:

1.6

Step-by-step explanation:

So, first, write down the number of jokers in each deck of cards.

That would be: 0, 1, 2, 2, 3

Then, add up all those numbers.

0+1+2+2+3=8

Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.

8/5=1.6

So, the mean of the data in the dot plot shown is 1.6.

:L)

Henry is recording what kind of shoes people are wearing at
the mall. Out of the 12 people he has seen, 4 are wearing high
heels. What is the experimental probability that the next
person Henry sees will be wearing high heels?

Answers

Answer:

1/4

Step-by-step explanation:

if you subtract 12 - 4 you get 8 and 4/8 = 1/4

I’m sorry I do not know
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