What is the reason for the step taken from the proof below?
2 1 and 2 2 are vertical angles
Given
21 22
?
Congruent Complements Theorem
Linear Pair Postulate
Congruent Supplements Theorem
Vertical Ángles Theorem
Answers
Answer:
Option (4)
Step-by-step explanation:
Vertical angles theorem;
"Two vertically opposite angles formed by the intersection of two straight lines are congruent"
By this theorem,
If ∠1 and ∠2 are the vertical angles Given
∠1 ≅ ∠2 Vertical angles theorem
Therefore, Option (4) is the correct option.
The reason for the step taken from the proof is vertical angles theorem.
Vertically opposite angles are equals.
Therefore,
if ∠1 and 2 are vertical angles, they are equal.
This means the angles are congruent and are the same.
Therefore,
∠1 ≅ ∠2 follows the vertical angle theorem
read more: https://brainly.com/question/17702030?referrer=searchResults
Related Questions
A number n is no less than -3. what is the inequality
Answers
Answer:
n ≥ -3
Step-by-step explanation:
If n can be no less than -3... then we know that n has to be bigger than or equal to -3.
This could also be said as greater than or equal to -3
Conveniently enough... there is a sign for greater than or equal to and it is ≥
Solve for x.
140°
6x – 8
Answers
Step-by-step explanation:
Add 8 to both sides of the equation.
6 x = 8
Divide each term by 6 and simplify.
Divide each term in 6 x = 8 by 6 .
6 x 6 = 8 6
Cancel the common factor of 6 .
x = 8 6
Cancel the common factor of 8 and 6 .
Factor 2 out of 8 .
x = 2 ( 4 ) 6
Cancel the common factors.
Answer(s):
Exact Form:
x = 4/ 3
Decimal Form:
x = 1. ¯ 3
Mixed Number Form:
x = 1 1 /3
Angelique makes 547 4 7 quarts of chili. She and her family eat 214 1 4 quarts. Use estimation to complete the statements below about Angelique's chili.
Answers
Luke Bryant is a train conductor. He earns $36/hour and time and a half for overtime. Last week he worked 37 hours plus 8 hours of overtime. Solve for a. straight-time pay, b. over-time pay, and c. total pay ?
Answers
Answer:
Step-by-step explanation:
a Calculate Remas wage in a week where she works 37 hours. ... To calculate the hourly rate earned when working overtime we multiply the normal hourly rate by ... overtime factor, which is 1 2 for time and a half and 2 for double time. ... 3 Gareth works as a train driver and is normally paid $11.48 per hour.
In a TV contest show, Abraham has 1600 points. To determine his final score in the game, Thomas
will spin the spinner shown below, and multiply his current number of points by the fraction the
spinner landson.
10
3
10
10
10
3
Which statement correctly describes the effect of multiplying his current score by the fractions shown on
the spinner?
Answers
Answer: It makes it smaller, but I don’t know what the fractions are
Step-by-step explanation:
Have a happy thanksgiving!
Answer:
Step-by-step explanation:
What are the fractions on the spinner? What are the statements?
What is the domain of the following function
Answers
Answer:
3,5,-3,9
Step-by-step explanation:
Domain is x(left circle) while range is right circle(y), meaning the answer is 3, 5, -3, 9.
I NEED HELP ON 3,4, and D) Please help
Answers
Answer:
Step-by-step explanation:
Well looking at the answer sheet on google if u look up the name of the paper the first link that comes in there's an answer sheet to it! i would add the link but it wasn't letting me copy and paste.
HELP!!
Graph the following direct proportions: y=-2.5x
If possible please explain how to do this so I won’t have to ask future questions :)
Answers
so start from the origin and go down 2.5 and over to the right 1 and keep repeating that pattern
then to make the left end of the line, go 2.5 up and 1 left
this will result in a line going downwards at a slope of 2.5 (aka making a y = -2.5x line)
Please help! i’ve been stuck on this for over 10 minutes.
Answers
(-2,0) and (3,4)
Slope: (y2-y1)/(x2-x1)
(4-0)/(3+2)
Slope is 4/5
could someone help? picture Is included. "Even More Situations, Diagrams, and Equations"
Answers
Answer:
story 1- B and story 2-Ax and y is the amount of flyers she gave to each volunteer. 3x+12=90 3y+36=90x= 26 y=183x+12=90
3x+12-12=90-12
3x=78
3x/3=78/3
x=26
3y+36=90
3y+36-36=90-36
3y=54
3y/3=54/3
y=18
I hope this is good enough:
OMG My teacher posted this stupid assignment and I CANT find WALDO!!! HELP!!!
(also she is my math teacher for those wondering why this was posted in math)
Answers
Answer:
hes at the top left corner with the bootsss
Step-by-step explanation:
There are 1,496 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?
Answers
Answer:
Step-by-step explanation:
what you need to do is 1496 divided by 16 because you have 1496 and 16 go into each box so u divide
Find the value of 3^-3x10^-3
Answers
Answer:
1/27000
Step-by-step explanation:
Use your calculator
Explanation:
If 3^-1 = 1/3
Then 3^-3 = 1/3^3 = 1/27
And 10^-3 = 1/10^3 = 1/1000
3^-3 x 10^-3
= 1/27 x 1/1000
= 1/27000
*20 POINTS*
A coffee table is shaped like a square and has an area of 22 square feet. Find the length of the side of the table to the nearest tenth of a foot.
Answers
Answer:
4.69 feet
Step-by-step explanation:
If the table is a square, all the sides are equal and the area is the length of one side squared. A=l^2
The length must then be the square root of the area. The square root of 22 square feet is 4.6904 feet. Rounded to the nearest tenth, that is 4.69 feet.
combine like terms: 80 + 50m + 65 + 40m
Answers
Answer:
90m+145
Step-by-step explanation:
80 + 50m + 65 + 40m
90m+145
How long will it take a car to go 100 miles
traveling at a speed of 25 miles per hour
Answers
Pls do this 10 points will mark brainliest pls I need help this is multiplying positive and negative integers
Answers
Explanation
All you have to do is multiply a crossed and if there is only one negative then it will be a negative and if there are two negative than it will be a positive after you get the imporoper fraction divided the top and bottom and you will get 2 remandier 11 then you just put it like this -2 11/35
4. (08.01, 08.02, 08.03 HC)
Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)
Answers
Answer:
Here GCF is 5z
all terms are divisible by 5z. so greatest common factor is 5z
One form of polynomial is
We factor the polynomial further
Other form of polynomial is
and are the two forms of polynomial
First form is created by taking out GCF 5z
SEcond form is created by factoring x^2 + 5x + 6
Step-by-step explanation:
all terms are divisible by 5z. so greatest common factor is 5z
One form of polynomial is
We factor the polynomial further
Other form of polynomial is
and are the two forms of polynomial
First form is created by taking out GCF 5z
SEcond form is created by factoring x^2 + 5x + 6
f^ -1 (x)=-3+^ 3 sqrt x+4 is the inverse function of f(x) = (x - 3) ^ 3 + 4 true or false
Answers
Answer:
false
Step-by-step explanation:
Brainliest DONT ANSWER IF YOU NDONT KNOW IT
Answers
Answer:
B
Step-by-step explanation:
THATSS ALL I NOW IT SOO GOOD
A map has a scale of 2 inches : 25 miles. Gabriel uses the map to find the
distance from the zoo to his house. The distance on the map is 5 inches. If
Gabriel bikes at a rate of 12.5 miles per hour, how long will it take him to get to
the zoo?
Answers
2 hours. It's extremely simple this is elementary grade, he needs to travel 25 miles and he's going 12.5 miles an hour, 12.5 x 2 = 25 So in 2 hours he reaches his destination.
The time it will take will be 5 hours.
What is ratio?"The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related. For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole. For example, out of every 10 people, 5 of them like to read books. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books."
The speed of the bike = 12.5 miles/hour
So, the distance will be = [tex]25/2 * 5 = 125/2[/tex]
Time taken = [tex]125/2 * 1/12.5[/tex]
= 5 hours
Hence, the time taken to get to the zoo = 5 hours
To know more about ratio here
https://brainly.com/question/13419413
#SPJ3
Zander downloads a combination of 30 games and songs he downloads 8 to more songs than games. The equation g+(8+g)=30 equals 30 can be solved to determine see the number of games and purchased how many games and songs did Zender download
Answers
Answer:
Step-by-step explanation:
8times 45
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of games is 11.
The number of songs is 19.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of games downloaded = g
Number of songs downloaded = g + 8
Total number of songs and games downloaded = 30
Now,
g + (g + 8) = 30
g + g + 8 = 30
2g + 8 = 30
Subtract 8 on both sides.
2g = 30 - 8
2g = 22
Divide 2 on both sides.
g = 11
The number of games = 11
The number of songs = 11 + 8 = 19
Thus,
The number of games is 11.
The number of songs is 19.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
What is angle MNT? Help
Answers
Answer: acute
Step-by-step explanation: it is less than 90 degrees so it is less the right angle
120 degrees.
Angle MNT is equal to its opposite angle, (I cant tell you the angle as one of the points is not showing, it uses T and Q)
Remember, all triangles have angles that when added together, equal 180 degrees.
So, add 35 and 25, which is 60.
Now subtract 60 from 180, 120.
Have a great day!
Of the students in Jill's grade, 41 students have a pet and the other 7 students do not. What is the ratio of the number of students who do not have a pet to the total number of students?
Answers
Answer:
The answer is 7 : 48.
Step-by-step explanation:
First, you can to calculate how many students are there in Jill's grade by adding the number of students who have pet with the students without pets :
total = 41 + 7 = 48
Next, you have to find the ratio of students without pets to total students :
7 : 48
Answer:
SoluTion :-Total student = Student who have pet + Student who don't have pet
Total Student = 41 + 7
Total Student = 48
Ratio
[tex] \tt \:7 \ratio \: 48[/tex]
Two rectangles with perimeters that are proportional if the area is proportional
Answers
Answer: I'm so sorry, but I'm not sure what you are asking.
I just read your comment, thank you for clarifying, I just was expecting a question, so I didn't really get it. Yeah you are right.
Answer:
Yep
Step-by-step explanation:
Just do that and this then u got it u got to figure out life lol
HElppppppp!!!!
everything is on the image
Answers
Answer:
a. 6
b. 12
c. [tex] y = 6x + 12 [/tex]
Step-by-step explanation:
a. Using two pairs of values given, (0, 12) and (1, 18)
Rate/slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{18 - 12}{1 - 0} = \frac{6}{1} = 6 [/tex]
Unit rate/slope (m) = 6
b. The starting value is the y-intercept (b). It is the value of of y when x = 0.
From the table, when x = 0, y = 12.
Therefore the starting value (b) would be 12.
c. The equation can be written in slope-intercept form, [tex] y = mx + b [/tex], where,
m = slope/rate = 6
b = starting value/intercept = 12.
Plug in the values into the equation
The equation would be:
✅[tex] y = 6x + 12 [/tex]
5х2 +х — 4
Factor completely
Answers
Answer:
(5x-4)(x+1)
Step-by-step explanation:
someone please help me with this question
Answers
Answer:
how to set up problem: (7x-36)+(5x+12)=180
edhesive 4.5 Code Practice
Answers
Question: Write a loop that inputs words until the user enters STOP.
Answer:
count = 0
word = input("User Input: ")
while word!="STOP":
count = count+1
print("You entered: "+str(word))
word = input("User Input: ")
print("All done. "+str(count)+" words entered")
Step-by-step explanation:
This line initializes counter variable count to 0
count = 0
This line prompts user for input
word = input("User Input: ")
The following iteration is executed until user enters STOP
while word!="STOP":
This increments counter variable by 1
count = count+1
This prints the word entered by the user
print("You entered: "+str(word))
This line prompts user for another input
word = input("User Input: ")
This prints the number of input by the user
print("All done. "+str(count)+" words entered")
Answer:
c = 0
word = input("Enter a word: ")
while word!="STOP":
c = c+1
print("#" + str(c) + ": You entered "+str(word))
word = input("Please enter the next word: ")
print("All done. "+str(c)+" words entered.")
Time Warner Cable charges $30 per hour and a trip fee of $55 for each service call.
Which of the following equations can be used to model this situation?
Answers
Answer:
y=30x+55
Step-by-step explanation:
$55 is constant because for each trip he will take $55 dollars so that gives you your y-intercept and m=$30 and x is the amount of hours worked. every time x increases he will be making more money