Move words to the blanks and equations to the boxes to prove that vertical angles <21 and <23 are congruent.

Move Words To The Blanks And Equations To The Boxes To Prove That Vertical Angles &lt;21 And &lt;23 Are

Answers

Answer 1

Answer:

See proof below

Step-by-step explanation:

From the given diagram, we can see that <2 and <3 lies on the same straight line, hence the sum of the angles is 180 degrees (supplementary)

<2 + <3 = 180 .... 1

Similarly. <1 and <2 are also supplementary angles

<1 + <2 = 180 .... 2

Subtract 1 from 2;

<3 - < 1 + <2 - <2 = 180 - 180

<3 - <1 +0 = 0

<3 - <1 = 0

Add <1 to both sides

<3 - <1 + <1 = 0+<1

<3 = <1 (Proved!)

This shows that <3 and <1 are equal

We can also conclude that <3 and <1 are vertically opposite angles and vertically opposite angles are equal


Related Questions

I NEED THIS FAST HELP!



Which mixed number is equivalent to the improper fraction 569?

569

629

789

849

Answers

Answer:

569 IS THE SAME NUMBER AS 569 AND THERE ARE NO FRACTIONS THERE are just numbers

Step-by-step explanation:

MAYBE 569????????????

The mixed number that is equivalent to the improper fraction 56/9 is

6(2/9)

Option B is the correct answer.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

A number is called an improper fraction if the denominator is less than the denominator.

Now,

56/9 is an improper fraction.

5(6/9) = 51/9

6(2/9) = 56/9

7(8/9) = 71/9

8(4/9) = 76/9

Thus,

6(2/9) is equal to 56/9.

Learn more about fractions here:

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Solve for n: 2n < 6
Math pls answer this

Answers

Answer:

n can be a number less than 3

Step-by-step explanation:

Hope this helps!

Answer:

N<3

Step-by-step explanation:

when f(n) =12, what is rhe value of n​

Answers

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

In three days, Karen ate 1/3 of a large bag of chips during
her lunch break. How many
days would it take her to
finish the bag of chips?

Answers

Answer:

Karen asked for the manager

Step-by-step explanation:

Karen asked for the maneger because that is what karens do. you’re lucky that you are not black, becuase she would falsely accuse you of murder after slightly bumping into her on accident.

Which ratio does not belong with the other three?

Please choose ABCD when answering also :DD​

Answers

Answer:

The answer is B

Step-by-step explanation:

All other fractions when simplified are equal to 2/5

An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?

Answers

Answer:

Ounces of green paint needed = 13.8

Step-by-step explanation:

Blue paint : green paint = 25 : 115

how many ounces of green paint should she mix with 3 ounces of blue paint?

Let

Ounces of green paint needed = x

Blue paint : green paint = 3 : x

Equate both ratios

25 : 115 = 3 : x

25/115 = 3/x

25 * x = 115 * 3

25x = 345

x = 345/25

x = 13.8 ounces

Ounces of green paint needed = 13.8

Evaluate x−y if x=−5 1/4 and y=−6.8 . Write your answer in simplest form.

Answers

The answer i got is -1.55, im not sure though

The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression, x - y

x = - 5 1/4 = (-5 x 4 + 1)/4 = -19/4 = -4.75

y = -6.8

Substitute x and y into the above expression,

-4.75 - (-6.8) = 2.05

Hence "The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05".

To learn more about expression,

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this is part three of four ​

Answers

Answer:

D. 275

Step-by-step explanation:

400/2... So just do 550/2 and you will get your answer

I think the answer is D . 275

Question 5
2 pts
(9x + 16)°
(5x - 14)
The value of
is
The measure of the exterior angle is
degrees

Answers

Answer:

Value is 15 and measure is 151

A piece of wire is 76cm long. It is cut into two unequal parts and each part is bent into a square. The sum of the areas of the two squares is 205cm². Find the length of the shorter part of the wire.

Answers

Answer:

The length of the shorter part of the wire is 24 centimeters.

Step-by-step explanation:

Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:

[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)

And we expand this polynomial below:

[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]

[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]

[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)

If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:

[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]

By the Quadratic Formula, we determine the roots associated with the polynomial:

[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]

The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.

i need help please!1

Answers

Answer:

for the first picture, she cleans 30 windows

the second picture is 52/100 :)

Answer:

It's B for the first one.

For the second one, it is C

Step-by-step explanation:

30 * 0.3 = 9

So 30% of 30 is 9. She did 9 windows.

0.52 = 52/100

It's 52/100 because 0.52 = 52%. 52% then equals 52/100.

52/100 = 13/25

So the answer is 13/25

HELP HELP PLEASE ASAP

Answers

The second in I’m pretty sure

Guys can y'all help me out D:

Answers

the answer is letter A

Answer: a

Step-by-step explanation: thanks for being my friend and sorry if im wrong

Eight is 1/5 of what number

Answers

Answer:

40

Step-by-step explanation:

8 = x/5

x = 8*5

x = 40

I know how to solve this so I just wanna give points away.

Emil was dividing his candy among 15 friends and himself. If each person received 4 pieces, how many pieces of candy did Emil have to start with? Define a variable and write an equation. Solve the equation and check your solution.

Answers

chile anyways so i just wanted the points

Put the following least you greatest

125%
1 1/2
1.26

Answers

Answer:

...

Step-by-step explanation:

Answer:

125 is 1 1/4

so it would b before 1 1/2

and is im right it would b

1.26

125%

1 1/2

Step-by-step explanation:

Help please...........

Answers

Answer: A

Step-by-step explanation:

If the markup is 30% on a cell phone that has a
selling price of $520, what is the initial cost?

Answers

Answer:

The initial cost of the cell phone was $364

Step-by-step explanation:

Since there was a 30% markup, 70% of the new cost is the initial cost. Multiply 520 by 0.7 on a calculator and you get 364

Mario's Pizza just received two big orders from customers throwing parties. The first customer, Amelia, bought 10 regular pizzas and 1 deluxe pizza and paid $133. The second customer, Jaden, ordered 7 regular pizzas and 9 deluxe pizzas, paying a total of $284. What is the price of each pizza?

Answers

Answer:

The regular costs 11 dollars each while the deluxe cost 23 each.

Step-by-step explanation:

You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.

Help! I would appreciate it​

Answers

It’s the first one which he or she would be right

Help me please please please please

Answers

Answer:

-4r + 9

Step-by-step explanation:

Join the r terms, you get -4r, join the numbers, you get 9.

Hope it helps!

One less than the square of a number

Answers

Answer:

the number would be the same

Step-by-step explanation:

would be the same number

help me out :)) 2(5x-1)+3x !! simplify !!

Answers

13x-2. 2•5x=10x 2•-1=-2. 10x-2+3x=13x-2

Answer:

13x-2

lol :)

hope i could helped:)

Lynn has a box of crayons.
4/9 of the crayons are blue
65% of the remaining crayons are red.
The other 14 crayons are yellow.
How many crayons are in the box altogether?​

Answers

Answer:

There are 72 crayons in the box

Step-by-step explanation:

Fractions

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]

Thus, the portion of yellow crayons is:

[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]

This fraction of x crayons is equal to 14, thus:

[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]

x = 72

There are 72 crayons in the box

Sheldon purchased 289 sq ft of sod for his square-shaped yard.
What is the width of his yard?

Answers

Answer:

The width and the length are both 17 feet long.

Step-by-step explanation:

17 * 17 = 289

A
B
C
D


I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

ΔCBA ≅ Δ BCD

∠A = ∠D = 90°

BC = CB                  {hypotenuse and reflexive property}

BA = CD

D is the answer I swear.

JODJODODODODODOOODODODDOOOODODODOD

Answers

Answer:

thx for the free points

Step-by-step explanation:

What is the approximate what is the approximate area of the circle shown below?

A. 908 cm2
B. 53 cm2
c. 3630 cm2
D. 107 cm2

Answers

The area of the circle is around 908 square centimeters, so the correct option is A.

How to find the area of the circle?

The area of a circle of radius R is given by:

A = pi*R²

Where pi is an irrational number, and we can write it as pi = 3.14

Here we can see that the radius of the circle is 17cm, then we can replace that in the area formula to get:

A = 3.14*(17cm)² = 908 cm²

Then the corret option is A.

Laern more about areas at:

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HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!

Answers

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

A box of candy contains three times as many cherry pieces. It hasfour more grape pieces than cherry pieces. There are 46 total pieces in the box. How many cherry pieces are in the box

Answers

Answer:

The number of cheery pieces in the box are [tex]18[/tex].

Step-by-step explanation:

Let the number of orange pieces in the box be [tex]x[/tex].

The box contains three times as many cherry pieces as orange pieces.

So, the number of cherry pieces in the box be [tex]3x[/tex].

It has four more grape pieces than cherry pieces.

So, the number of grape pieces in the box be [tex]3x+4[/tex].

There are [tex]46[/tex] total pieces in the box.

So, [tex]x+3x+3x+4=46[/tex]

[tex]\Rightarrow 7x+4=46[/tex]

[tex]\Rightarrow 7x=46-4[/tex]

[tex]\Rightarrow 7x=42[/tex]

[tex]\Rightarrow x=\frac{42}{7}[/tex]

[tex]\Rightarrow x=6[/tex]

So, the number of cherry pieces [tex]=3x=3\times 6=18[/tex].

Hence, the number of cheery pieces in the box are [tex]18[/tex].

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