Answers
Corresponding angles theorem states that parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
To prove m∠ = m∠2.
Then,
m∠3 + m∠2 = 180m∠1 + m∠3 = 180m∠1 = m∠2How to prove corresponding angles?The corresponding angles theorem states that If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Corresponding angles are formed when a transversal passes through two lines.
As we know that line segment m is parallel to the line segment n.
m || n .
Hence,
m∠3 + m∠2 = 180 (same interior angles)
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Same side interior angles are supplementary.
m∠1 + m∠3 = 180(sum of angles on a straight line)
Angles on a straight line is supplementary.
So, by transitive property of equality, we get:
m∠ = m∠2
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Related Questions
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. Weight (pounds), x Miles per Gallon, y 3773 17 3793 16 2706 25 3645 20 3308 22 2908 24 3675 17 2687 24 3522 18 3827 16 a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable y= x+( ) A certain gas-powered car weighs 3511 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? The estimated average miles per gallon for cars of this weight is ( ) miles per gallon. The miles per gallon of this car is average for cars of this weight.
Answers
Answer:
y= 0.007x- 4.945
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
Step-by-step explanation:
Weight Miles
(pounds), x per Gallon, y xy
3773 17 64,141
3793 16 60,688
2706 25 67,650
3645 20 72,900
3308 22 72,776
2908 24 69,792
3675 17 62,745
2687 24 64,488
3522 18 63,396
3827 16 61,232
∑y²=4075; ∑y=199; ∑x²= 116,406,174 ; ∑x=33,844 ; ∑xy=659,808
b= n∑XY - (∑X)(∑Y)/ n∑X² - (∑X)²
b=(10) (659,808) - (33,844)(199)/ 10 (116,406,174) - 1,145,416,336
b=6,598,080- 6,734,956/ 1,164,061,740 -1,145,416,336
b=136,876/18,645,404
b= 0.007341
a= Y`- bX`
a= 19.9- (0.007341) (3384.4)
a= 19.9 -24.845
a=-4.945
Y^= -4.945+ ( 0.007341) X
y= 0.007x- 4.945
Putting the values
y= 0.007x- 4.945
18 = 0.007(3511) - 4.945
18< 20.829
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
Workers mixed 7 gallons of blue paint, 4 gallons of yellow paint, and 1 gallon of white paint to make a special shade of paint . They will use a total of 108 gallons of this mixture to paint the offices in a building .Based on this information, complete the following statements.
They will use _______times as much yellow paint as white paint.
They will use a total of _______gallons of blue and yellow paint.
They will use _________more gallons of blue paint than of white paint.
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Answer:
What’s the answer
Step-by-step explanation:
BRAINIEST TO WHOEVER IS RIGHT
Answers
Answer:
Least= -6
Middle= -3
Greatest= -2
f(x)=3(x+1)^2-4 then evaluate when x=3
Answers
Step-by-step explanation:
given
[tex]f(x) = 3{(x + 1)}^{2} - 4 \\ f(3) = 3 {(3 + 1)}^{2} - 4 \\ = 3 {(4)}^{2} - 4 \\ = 3(16) - 4 \\ = 48 - 4 \\ = 44[/tex]
Answer:
3(3+1)²-4
3(16)-4
48-4 = 44
please dont give me a file
Answers
The upper quartile is the right edge of the green box.
This is at 300 minutes.
The answer is 300 minutes.
I really need help with this. Can you help me please?
Answers
Answer:
Solve the equation using the method of completing the square.
Step-by-step explanation:
Freddy pays $840 per year in
insurance.
How much should he budget
monthly for it?
A) $70
B) $92
C) $140
D) $142
Answers
Because in 1 year we have 12 months so we divide 840 with 12 we get 70
A tent is in the shape of a triangular prism shown below.
What is the lateral surface area of the prism?
Answers
When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?
Answers
Answer:
2669
Step-by-step explanation:
Given that :
Salary range = 876
Starting salary = 1793 monthly
The starting salary represents the minimum amount Micah can earn monthly
Therefore, the amount of money much can earn can be calculated thus :
Recall :
Range = maximum - minimum
876 = maximum - 1793
876 + 1793 = maximum
Maximum = 2669
Hence, the maximum salary Micha can earn is 2669 monthly
A) If 4 farmers can plow a 3-hectare land in 6 days, how long will 8
farmers do it?
Answers
Answer:
I believe that It will take 3 days if 8 farmers will plow 3-hectare land.
Step-by-step explanation:
The work doubled so days will be less in a half.
Distribute and combine like terms: 8(1 + 6 p)
Answers
Answer:
8 + 48p
Step-by-step explanation:
Please help I will give u brainlest pleaseee and thank you ❤️
Answers
Answer:
I think:
A),C),and D
Step-by-step explanation:
Using the formula,( h= 138÷46),and using times after that.
Hope this helps! Have a good day/or night!
P.S: Sorry if I'm wrong I tried my best. Best wishes!!!
Answer:
D, E
h - 46 > 138
+46 +46
–––––––––––
h>184
Step-by-step explanation:
:))
Hello, I gotta turn it turn in this question today, help!!!!!!
Answers
Answer:
2 or -2
Step-by-step explanation:
If x² - 8x = -12
Step 1
We find x by solving
x² - 8x = -12
We equate to zero
x² - 8x + 12 = 0
We factorise
x² - 6x - 2x + 12 = 0
x(x - 6) -2(x - 6) = 0
(x - 6) (x - 2) = 0
x - 6 = 0, x = 6
x - 2 = 0, x = 2
x = 6 or 2
Step 2
What is x - 4?
When x = 6
= 6 - 4 = 2
When x = 2
= 2 - 4 = -2
Therefore, x - 4 = 2 or -2
PLEASE HELP ME I WILL MARK BRAINLIEST (ITS DUE IN A HOUR)
Answers
Answer:
the equation is 9.75c=20.75
then the amount is 2.13
Step-by-step explanation:
Answer: c - 9.75 = 20.75
flip it 20.75 - 9.75 = c
- 9.75
____________
11.00
C = 11.00
Question 2
Use pythagroean theorem to find the value of the missing side. Leave answers in simplest radical form.
Answers
Answer:
C
Step-by-step explanation:
a^2 + 49 = 169
-49 - 49
a^2 = 120
√120 = 2√30
the second part is thiss
Answers
Step-by-step explanation:
Question b has already been answered in part one. This is an exponential function.
C) 7 is the initial number of people who received the email;
7*2^n is the number of people who receive the email on day n;
2 is the factor of which the number of people increases each day.
D) On day 5,
[tex] {2}^{5} \times 7 = 32 \times 7 =224[/tex]
people will have received the email.
E) 2; 0 (no people has received the email on day 0). The equation is
[tex]y = {2}^{x} \times 7[/tex]
With x in the natural numbers
Suppose $67,050 is divided into two bank accounts. One account pays 6% simple interest per year and the other pays 1%. After seven years there is a total of $15,000 in interest between the two accounts. How much was invested into the bank account that pays 1% simple interest. (Rounded to the nearest cent)?
A. $55,455.56
B. $44,451.55
C. $37,602.90
D. $29,447.10
Answers
Step-by-step explanation:
i think the answer is C
Mathew builds a model of a house that is 2 in tall, 6 in wide, and 3 in long. The real house is 20 ft tall, 60 ft wide and 30ft tall. What is the scale used to build the house?
Answers
Answer: 1inch : 10 feet
Step-by-step explanation:
Since we are informed that Mathew builds a model of a house that is 2 in tall, 6 in wide, and 3 in long while the real house is 20 ft tall, 60 ft wide and 30ft tall.
For the length, we can see that the relay house is (30/3) = 10 times the model. The same thing is applicable to others as well as the width and height is 10× the scale used. Therefore, the scale used to build the house is 1inch:10 feet
Which equation matches this statement?
Finn buys a toy boat for $45.50 including tax. He was charged 7% sales tax on the original price.
HELPPPP PLEASE!!!
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X is the price of the toy boat, •07x adds the tax for a total paid of $45.50
Help Plz
Will mark brainliest
Answers
Answer:
b. [tex] (x - 2) ^{2} - 36[/tex]
d. [tex] (x - 2) ^{2} - 36[/tex]
Step-by-step explanation:
[tex](x + 4)(x - 8) \\ \\ = {x}^{2} - 8x + 4x + 4( - 8) \\ \\ = {x}^{2} - 4x - 32 \\ \\ = {x}^{2} - 4x + 4 - 4 - 32 \\ \\ = {x}^{2} - 4x + {2}^{2} - 36 \\ \\ = (x - 2) ^{2} - 36[/tex]
4y^2+20y+25
Factor the polynomial completely
Answers
Answer:
(2y+5)^5
Step-by-step explanation:
Use the "PERFECT SQUARE RULE"
Choose the equation below that matches the word sentence: "3 increased
by x is 9."
A.3x = 9
B.3/x = 9
C.3 + x = 9
D.3 - x= 9
Answers
Step-by-step explanation:
32 9655 9655 + 965 + 965 + 965 + 982
(y+7) what does that equal
Answers
what is the median and mode for the numbers 40, 28, 24, 37, 43, 26, 30, 36
Answers
Answer:
Median
Assending order =24,26,28,30,36,37,40,43
It is even no of obs
Therefore the two middle obs are 30,36
Therefore median 30+36/2
Therefore median 66/2
Therefore median is 33
There is no mode in the following obs
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU.......
The median of the numbers is M = 33 and the mode is not defined
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
Let the set of numbers be represented as set A
Now , the value of A is
A = { 40, 28, 24, 37, 43, 26, 30, 36 }
Arranging the numbers in the ascending order , we get
A = { 24 , 26 , 28 , 30 , 36 , 37 , 40 , 43 }
Now , the total number of elements in the set A = 8
So , the median is the average of the two middle data points in the list.
M = ( 30 + 36 ) / 2
M = 33
The mode of the numbers is the numbers that appears the most often
So , mode is not defined
Hence , the median is M = 33
To learn more about median click :
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I need this question as soon as possible. Can u please explain the answer to
Answers
Answer:
area = 8(x + 6)
The distributive property says that the x must be added to the 6 before it is multiplied by the 8
Answer: 8(x+6)
Step-by-step explanation:
the distributive property is where you use the form
a(b+c) and area is b*h or l*w and
here 8=h x+6=b so the equation is 8(x+6)
Hope this helps!
2/3 x 9 in simplest form
Answers
Answer:
The answer is 6
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
[tex] \frac{2}{3} \times 9 = 2 \times 3 = 6[/tex]
The numbers 3 and 9 are divisible by 3
hope it helps
have a nice day
I need help!! Bill will spend at most $29 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? 
Answers
Answer:
$ is less than or equal to $16
Step-by-step explanation:
Someone help me please extra points & brainlest!
Answers
Answer:
my best bet is d
Step-by-step explanation:
tell me if im wrong
Answer:
7x-11
Step-by-step explanation:
remove parentheses
4x-7+3x-4
group like terms
4x+3x-7-4
add similar elements
7x-7-4
then solve
7x-11
if the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? explain how you know
Answers
Answer:
love
Step-by-step explanation:
you
The data set shows the numbers of miles Ms.Franklin drove on five days. answer choices are in the picture ( please no files or links just the answer)