In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines l and m are parallel. Angles 1 and 2 are supplementary by definition. Upload the entire proof below.
Given:
∠1 and ∠2 are supplementary angles
Prove:
l || m
STATEMENT REASON
1.∠1 and ∠2 are supplementary angles 1. Given
2. m∠1 + m∠2 = 180° 2.
3. ∠1 and ∠3 are supplementary angles 3. Exterior sides in opposite rays
4. 4.
5. m∠1 + m∠2 = m∠1 + m∠3 5.
6. 6.
7. l || m 7.
Answers
Line m and line l are parallel as m∠2 = m∠3
Equation
An equation is an expression that shows the relationship between two or more variables and numbers.
Two angles are said to be supplementary if they add up to 180 degrees.
m∠1 + m∠2 = 180° (Given)
m∠1 + m∠3 = 180° (sum of angles on a straight line)
Hence:
m∠1 + m∠2 = m∠1 + m∠3
m∠2 = m∠3
Line m and line l are parallel as m∠2 = m∠3
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Related Questions
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5). What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4) Mark this and return
Answers
9514 1404 393
Answer:
(c) (–5, 4)
Step-by-step explanation:
The rule for reflection across the line y=x is ...
(x, y) ⇒ (y, x)
G(4, -5) ⇒ G'(-5, 4)
Explain the differences and similarities of the steps for dividing whole numbers and decimals.
Answers
Answer: Comparing a whole numbers and a decimals:
First let’s talk about the similarities of comparing whole numbers and decimals:
=> their place value always matters.
Now, let’s proceed to their differences
=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.
=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.
Step-by-step explanation:
29. Which set of integers is listed in order from least to greatest?
5,8,-9, -10
-5, -3, -2,7
O-5, 4, -2, -7
O 5, 4, 2, -1
Answers
Answer:
It would be the second set of numbers.
Step-by-step explanation:
Jasmine ran 5 miles in 42 minutes
Answers
Answer:
5 divided by 42 is 0.11 repeating
Step-by-step explanation:
Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).
Answers
Step-by-step explanation:
(4 - x)(x - 4) = 16 - x2 help me please sir please help me please sir fasthelp me please sir please help mehelp me please sir please help mehelp me please sir please help mehelp me please sir please help me
Answer:
Step-by-step explanation:
this equals 0.03
PLZZZ HELPPP
What are the domain and range of f (x) = 1/2 (x+4)^2 - 11
Domain: All real numbers
Range: f(x) > -11
Domain: 3 > -11
Range: f(x) > -11
Domain: All real numbers
Range: All real numbers
Domain: 2 > -11
Range: All real numbers
Answers
Answer:
D. Domain: 2 > -11
Range: All real numbers
Step-by-step explanation:
Correct me if I’m wrong UwU
Answer:
Domain: All real numbers
Range: f(x) ≥ - 11
Step-by-step explanation:
Given the quadratic function in vertex form, f(x) = ½(x + 4)² - 11:
The vertex, (h, k) is (-4, -11).
Range: f(x) ≥ -11.The parabola opens upward (where a = ½, which is greater than 0), and k = -11 is the minimum value for f(x). Hence, the range of the given function must be at least -11, or f(x) ≥ -11.
Domain: all real numbersThere is no restriction for the value of x. Therefore, the domain of the given function is all real numbers.
For the right angle shown, the length of two sides are given. Find the third side. Leave your answer in simplified, radical form.
b=9, c=16
a=
Answers
Answer:
a is about 13.2
Step-by-step explanation:
the formula for this type equation is a²+b²=c²
plug in the numbers to make the equation a²+9²=16²
do the multiplication and it gives u a²+81=256
subtract 81 from both sides and a²=175
take the square root of both sides and it gives u 13.22
is a function f(x)= 1/x odd or even?
Answers
Answer:
the function is odd.
Step-by-step explanation:
f(x) is even if f(−x)=f(x) . f(x) is odd if f(−x)=−f(x) . Since −1x=−f(x).
Answer:
Odd
Step-by-step explanation:
There are two ways a function can be determined even or odd.
1. Graph
If the line of symmetry is the y=axis, the function is even.
If it can be rotated 180˚ about the origin and lines up with the original equation, it is odd.
If none of the cases above are satisfied, the function is neither.
2. f(-x)
If you substitute -x for x and you get the equation to be the same as before, the function is even.
If you substitute -x for x and you get the previous equation * -1, the function is odd.
If none of the cases above are satisfied, the function is neither.
Which of the following statements about resale price maintenance is correct? Resale price maintenance _______.
A. is considered by some economists to be efficient and by other economists to be inefficient
B. is also called horizontal price fixing
C. is legal under the Sherman Act
D. occurs when a manufacturer prints the price of its good directly on the packaging
Answers
Answer:
A. is considered by some economists to be efficient and by other economists to be inefficient
Step-by-step explanation:
What number should be subtracted to -2/3 to get -1/6
Pls answer thissss
Answers
Answer:
-1/2
Step-by-step explanation:
2/3 becomes 4/6
4/6 to go to 1/6 is -3/6 or -1/2 (simplified)
Yoko, Austin, and Dante served a total of 105 orders Monday at the school cafeteria, Yoko served 9 fewer orders than Austin. Dante served 4 times as many
orders as Yoko. How many orders did they each serve?
Answers
Answer:
Austin: [tex]25[/tex]
Dante: [tex]64[/tex]
Yoko: [tex]16[/tex]
Step-by-step explanation:
Total: [tex]105[/tex]
Austin: [tex]y+9[/tex]
Dante: [tex]4y[/tex]
Yoko: [tex]y[/tex]
Equation:
[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]
Invisible Steps:
Combine like terms: [tex]y+y+4y=6y[/tex]
Subtract 9 from each side: [tex]6y+9-9=6y[/tex]
[tex]105-9=96[/tex]
Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]
[tex]96[/tex] ÷ [tex]6 = 16[/tex]
Which of the following points lie on a line that passes through the origin with a slope of −2/5? Select all that apply.
A)
(0, 0)
B)
(1, −25)
C)
(−2, 5)
D)
(−1, 25)
E)
(4, 10)
F)
(−5, 2)
Answers
Answer:
a f
Step-by-step explanation:
(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the points lie on a line that passes through the origin with a slope of −2/5
The line passes through (0, 0) and (x, y) form a slope of -2/5
-2/5=y/x
So y is 2 and x is 5.
Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5
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Myra likes blueberry yogurt, but cherry yogurt is her favorite. Yesterday, she bought 3 cartons of cherry yogurt for every 2 cartons of blueberry yogurt. If Myra bought 3 more cartons of cherry yogurt than blueberry yogurt yesterday, how many cartons of cherry yogurt did she buy?
Answers
Answer:
9 cherry, 6 blueberry
Step-by-step explanation:
lets do a table!
cherry | blueberry
----------------------------
3 2
6 4
9 6
When there are 2 blueberry, there are 3 cherry. 3 is 1 more than 2. When there are 4 blueberry, there are 6 cherry. 6 is 2 more than 4. When there are 6 blueberry, there aare 9 cherry. 9 is 3 more than 6.
Please help me with these questions. I’m genuinely confused.
Answers
Answer:
16: 5
17: 6 4/9
Step-by-step explanation:
I only will give u the answer for a few questions
chapter 6.4 : Problem 4
Answers
Answer:
wdym
Step-by-step explanation:
If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen
Answers
Answer:
first 45-6=36 and 36×6=216 the answer is 216
What is the distance between the points (7 , 34) and (7 , 19) in the coordinate plane?
Answers
Answer: 15.00 units
Explanation: When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this: distance = √ a2 + b2
Use technology to find the P-value for the hypothesis test described below.
The claim is that for a smartphone carrier's data speeds at airports, the mean is p = 19.00 Mbps. The sample size is n = 21 and the test statistic is t= 1.401
P-value = (Round to three decimal places as needed)
Answers
Using the t-distribution, it is found that the p-value is of 0.177.
At the null hypothesis, it is tested that for a smartphone carrier's data speeds at airports, the mean is 19 Mbps, that is:
[tex]H_0: \mu = 19[/tex]
At the alternative hypothesis, it is tested if the mean is different than 19 Mbps, that is:
[tex]H_1: \mu \neq 19[/tex]
We are testing if the mean is different from a value, hence it is a two-tailed test.The test statistic is t = 1.401.Sample size of n = 21, hence there are 21 - 1 = 20 df.Inputting this information into a calculator, the p-value is of 0.177.
A similar problem is given at https://brainly.com/question/13873630
Question 21: In January, Michelle walked 15.73 miles. In February she walked 3.6 miles. In March,
she walked 8.01 miles. How many miles did she walk in all?
Answers
Answer:
27.34 milesStep-by-step explanation:
Add all together:
15.73 + 3.6 + 8.01 = 27.3415.73miles + 3.6miles + 8.01miles = ...
= 19.33miles + 8.01miles
= 27.34miles
Question
The table below gives the value of a hypothetical $10,000 investment in a certain money market fund. Use a calculator or a
spreadsheet program to find an exponential regression model of the formy - ab' for the data set, and use it to estimate
the value of the investment 12 years after purchase.
Time (years) Value of Investment (USD)
0
10,000
1
11,000
2
12, 100
3
13,310
4
14,641
5
16,105,1
6
17,715.61
Answers
Answer:
$31,384.28
Step-by-step explanation:
If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...
y = 10000(1.1^x)
For x=12, the value of the investment is predicted to be ...
y = 10,000(1.1^12) ≈ 31,384.28
The value of the investment 12 years after purchase is predicted to be $31,384.28.
__
In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.
In the xy-plane, a line crosses the y-axis at the point (2, 2) and passes through
the paint (-3, -13). Which of the following is an equation of the line?
Answers
help! giving brainliest!!!
Answers
Of the eighth graders at the Paxton School, 14 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and soccer only, 2 played volleyball and soccer only, 1 played basketball and volleyball only, and 2 played volleyball, basketball, and soccer.
How many played one or more of the three sports?
Answers
6 kids played one or more of the 3 sports
In 2020, Puerto Rican rapper Bad Bunny claimed the top spot of most streamed artist globally on SPOTIFY, with more than 8.3 billion streams (8,300,000,000) this year from fans around the globe. His album YHLQMDLG—released in late February 2020, featuring collaborations with Sech, Anuel AA, and Daddy Yankee—is the number one streamed album as well. Calculate the profit earned using these numbers. (Hint: Use the slope intercept format to build this equation. Also, remember one unit = one thousand streams).
Answers
Ms. Duda’s class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.
Answers
Answer:
Percentage Calculator: 100. is what percent of 500.? = 20.
Step-by-step explanation:
Someone, please help me with this. I will give Brainliest
Answers
Explanation:
What we need to do here is to take the ratio of the distances of the planets to determine how much farther Neptune is from the sun compared to Mercury:
[tex]\dfrac{D_N}{D_M} = \dfrac{4.503×10^9\:\text{km}}{5.791×10^7\:\text{km}} = 7.776×10^1[/tex]
This means that Neptune is 77.76 times farther from the sun than Mercury is.
Please help! (Urgent)
Only answer if correct.
I will be asking more so stay tuned.
Answers
Answer: it takes 1/5 revolutions per foot and the slope is 5
Step-by-step explanation:
PLease help middle school math 40 points
Answers
Answer:
b
Step-by-step explanation:
2/5 * 2x = 4/5
2/5 * 3 = 6/5 = 1 1/5
Answer:
B.
Step-by-step explanation:
Using the distributive property (multiplying 2/5 to both 2x and 3) we can get the answer 4/5x + 1 1/5.
I hope this helps :)
Mofor had $21 to spend on two notebooks.
After buying them he had $13. How much
did each notebook cost?
Two-step equations
Answers
Step-by-step explanation:
21-13=8
8÷2=4
A note book costs 4$
Answer:
the unit price of the notebooks: $4
Step-by-step explanation:
Mo starts with $21 and finds himself left with $13 after buying the notebooks. Subtracting $13 from $21 results in $8, the amount he spent on two notebooks. Dividing $8 by 2 yields the unit price of the notebooks: $4
You have 2.567 grams of water. What is the volume of water(use correct units)
Answers
Answer:
16
Step-by-step explanation:
16 grams