determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel.
Answers
Answer/Step-by-step explanation:
1. YES.
Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)
Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.
2. YES.
Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)
Thus,
128° + 53° = 180°.
3. YES.
Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).
Thus,
The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.
4. YES
Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)
Thus, the two exterior angles are congruent, therefore l || m.
The converse which would serve as prove that l is parallel to m are given in the answers below:
Considering the information in the given diagrams:
1. Yes, l is parallel to m.
The converse is: "If corresponding angles are equal, then l is parallel to m". One of the corresponding angles plus [tex]115^{o}[/tex] equals [tex]180^{o}[/tex].
Thus, l || m.
2. Yes, l is parallel to m.
The converse is: "if two angles are linear pair, then they sum up to [tex]180^{o}[/tex]".
So then, l || m.
3. Yes, l is parallel to m.
The converse is: "if two corresponding angles are right angles, then they are congruent".
Therefore, l || m.
4. Yes, l is parallel to m.
The converse is: :if two alternate exterior angles are congruent, then l is parallel to m".
Therefore, l || m.
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Related Questions
XYZ shown below has a measure of (8x + 12)°. The measure of 1 is (4x + 8)°, and the measure of 2 is (9x - 11).
What is the measure of ZXYZ?
A 3
B 20°
C 36°
D 60
Answers
Answer:
C
Step-by-step explanation:
∠ XYZ = ∠ 1 + ∠ 2, substitute values
8x + 12 = 4x + 8 + 9x - 11 = 13x - 3 ( subtract 13x from both sides )
- 5x + 12 = - 3 ( subtract 12 from both sides )
- 5x = - 15 ( divide both sides by - 5 )
x = 3
Thus
∠ XYZ = 8x + 12 = 8(3) + 12 = 24 + 12 = 36° → C
Which statements about the Commutative Property of Multiplication are TRUE? Select all that apply. A. The property applies to all real numbers. B. The property states that ab is equivalent to ba. a ( x + y ) = ax + ay C. There is also a Commutative Property of Division because multiplication and division are related operations. D. The property states that when multiplying three numbers together, you can multiply any two of them first and then multiply by the remaining number.
Answers
Answer:
b) The property states that ab is equivalent to b a
Step-by-step explanation:
Commutative property:-
the commutative property , when we multiply two integers , the answer we get after multiplication will remain the same, even if the position of the integers are interchanged.
Let 'a' and 'b' be the two integers , then ab = b a
Example:-
. 1 X 2 = 2 X 1 = 2
. 12 X 5 = 5 X 12 = 60
Answer:
B
Step-by-step explanation:
A company orders 18 boxed lunches from a deli for $223.20. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answers
Answer:
12.40
Step-by-step explanation:
[tex]223.20 \div 18[/tex]
that will give you the answer of 12.40 for each unit.
Answer:
Step-by-step explanation:
1 box costs x amount
18 boxes cos 223.20
Cross multiply
223.20 * 1 = 18 x
Divide by 18
223.20 / 18 = 18x / 18
x = 12.40
Cost of 1 box is 12.40
Y’all pls help me kanajkabawiajjajqjqkqknabajokqnqq
Answers
Answer:
help with what? what is your q u e s t i o n
Step-by-step explanation:
Answer:
I will help, but I need to know your question first haha!
Step-by-step explanation:
Please help me with My algebra. I'm stressing a lot right now so Thank you.
I might brainly you
Answers
The circle has a radius of 11 cm. What is the area of the shaded sector? Use 3.14 for π, and round your answer to the nearest tenth.
What is the approximate area of the shaded sector?
23.0 cm2
126.7 cm2
253.3 cm2
379.9 cm2
Answers
Answer:
C) 253. 3 cm²
Step-by-step explanation:
1. Sector area formula can be in degrees or radians. I will use degrees because we are given 240 degrees as a unit.
2. SA= [tex]\frac{x}{360}[/tex] times [tex]\pi r^{2}[/tex] where x is the degrees of the sector
3. 240/360 times 3.14(11)²
4. 0.66666667 times 379.94
5. approximately 253. 3 cm²
Answer:
C. 253.3 cm2Step-by-step explanation:
Solve the following:
3x + 7 = 5x - 1
X =
Answers
Answer:
x= 4
Step-by-step explanation:
3x + 7 = 5x - 1
combine the like numbers: add 1 to the other side, isolating 5x
3x + 8 = 5x
Subtract 3x from 5x, isolating 8
8 = 2x
divide
4 = x
Check if it works
3(4) + 7 = 5(4) - 1
19 = 19
Yes, it is correct
A playground is rectangular with a length of 1/2
miles. If the area of the playground is 5/8
square miles, what is its width? Input your answer as a fraction. Need help ASAP for a grade
Answers
Answer:5/4
Step-by-step explanation:
Area = length* width
5/8 = 1/2 * width
Width = 5/4
Answer:
5/4 miles.
Step-by-step explanation:
Width = area / length
= 5/8 / 1/2
= 5/8 * 2
= 10/8
= 5/4 miles.
What's the problem with this chemical equation: H2 + 02 --> H20?
Select one:
a. There's a missing hydrogen in the reactants
b. There's a missing oxygen in the product
c. There an additional oxygen in the product
Answers
Answer:
there is an additional oxygen in the product
What is the slope of the line that goes through points (-3,-4) and (-7, 16)?
Answers
Answer:
The slope is -5
Step-by-step explanation:
16 -(-4) / -7 -(-3) = 5
Hope this helps. Pls give brainliest.
I need you to find the value for X, show steps please!
-4x = 22
Answers
Answer:
x=-5.5
Step-by-step explanation:
This equation has already been simplified to the last part for you so all you have to do is divide 22 by -4 and you get -5.5
22/-4=-5.5
Answer:
x = -5.5
Step-by-step explanation:
To answer this you need to isolate the x.. So -4x/-4 and then do the same to 22. So 22/-4 = -5.5
The answer is x = -5.5
find the value of s(5) in function s(x)=2^2+10
Answers
Answer:
0
Step-by-step explanation:
the question is on the sheet
Answers
Answer:
m= 3 /2
Step-by-step explanation:
Frank raked 23 of his lawn yesterday and 16 of it the day before. How much of his lawn did Frank rake over the course of the two days?
Answers
answer
39.............................
Step-by-step explanation:
23+16 39.
Please help! Quickly!
Answers
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato will pull a pen from the bag.
When Denato pulls a pen from the bag, how many outcomes are possible?
A.8
B.7
C.14
D.29
20 POINTS!!
Answers
The probability helps us to know the chances of an event occurring. The number of possible outcomes When Denato pulls a pen from the bag is 29.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that the bag has 8 red pens, 7 blue pens, and 14 black pens. Therefore, if Denato will pull a pen from the bag the number of possibilities will be the sum of all the number of pens.
Number of Possibilities = 8 + 7 + 14 = 29
Thus, the number of possible outcomes When Denato pulls a pen from the bag is 29.
Learn more about Probability:
https://brainly.com/question/795909
Answer:
29
Step-by-step explanation:
There are 9 pens, so 29 outcomes
On a social media site, Josie gets 10 friend requests. She could accept or reject any of them. How many different possible ways could she respond to this set of 10 requests?
Which one is the correct answer?
9
10
11
19
20
21
45
44
46
1024
1023
1025
None of the above
Answers
Angle Theorems for triangles
Answers
Answer:
Step-by-step explanation:
The interior angles of a triangle add to 180°:a + b + c = 180°
Angles c and d make a straight angle, which is 180°:d + c = 180°
So d + c equals a + b + c:d + c = a + b + c.
Subtract c from both sides:d = a + b.
Select three ratios that are equivalent to 11:1
Choose 3 answers:
A
1:11
(Choice B)
B
22:2
(Choice C
C
55:5
(Choice D)
D
9:99
(Choice E)
E
110:10
Answers
What percentage of the circle is shaded? *
2%
25%
50%
75%
Answers
Answer:
50%
Step-by-step explanation:
There are 4 sections in the circle. 2 out of 4 of them are shaded. That is half. 50% is another way of representing half of something.
Answer:
its c 50%
Step-by-step explanation:
A variable expression consists of numbers, variables, and operations.
true or false
Answers
Answer:
True
Step-by-step explanation:
PLEASE HELP THIS IS SUPER URGENT ILL GIVE YOU EXACTLY 50 POINTS IF YOU ANSWER THIS PLEASE DON'T COMMENT SOMETHING THAT HAS NOTHING TO DO WITH THE QUESTION PLEASE AND THANK YOU!!!!!!!
Figure ABCD is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 3, negative 4, B prime at 5, negative 2, C prime at 5, 1, D prime at 3, negative 1. Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer.
Answers
Answer
:Reflected along x axis
Translated 7 units to the righ
A transformation of a point is the movement of the point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.
Figure ABCD has A at (- 4, 4), B at (- 2, 2), C at (- 2, - 1), D at (- 4, 1).
If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)
If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:
It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)
It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get you a better answer! :)
Can i get brainliest plz, im trying to unpgrade my rank!
Alright, I am hoping this is an flvs question, and that it comes from the quiz.
I came to this question because I needed help on it, but now I understand it, so im gonna help others :)
For Part A, the answer would be reflected on the x axis, translated 7 units to the right. This is true because by only reflecting it, the figure would not be on the exact spot. We have to translate it to the right.
For part B, the simple answer is that they are NOT congruent. As shown, they have been translated and moved, so in conclusion, they are not congruent. PLS MARK BRAINLIEST, not trying to be mean or anything, but I need it way more than the other person if you look at our ranks.
HELPP PLEASEEE!!
(look at the photo)
Answers
Answer:
B
Step-by-step explanation:
If you notice, since concert tickets is 1, the cost is $23. So we are finding an option that satifies that. The only option is B.
Hope you get a 100. Please hit the crown if correct :D
Answer:
B:23 dollars is the cost for each concert ticket
Step-by-step explanation:
the figure is symmetric about the x- and y-axis. what is the area of the figure below
Answers
Answer:
126 units²
Step-by-step explanation:
Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.
Trapezoid ABRS ≅ trapezoid IHLK
Trapezoid DEOP ≅ trapezoid FEON
Rectangle BCQR ≅ rectangle GHLM
Area of trapezoid is [tex]\frac{b_{1} +b_{2} }{2}h[/tex]
Area of rectangle is [tex]lw[/tex]
The total area of the figure is: ( 2 × [tex]A_{ABRS}[/tex] + 2 × [tex]A_{BCQR}[/tex] + 2 × [tex]A_{DEOP}[/tex] )
In trapezoid ABRS: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 8 and h = 3 ⇒
2 × [tex]A_{ABRS}[/tex] = 2 × [3(6 + 8) ÷ 2] = 42 units²
In rectangle BCQR: l = 6 and w = 3 ⇒
2 × [tex]A_{BCQR}[/tex] = 2 × (6 × 3) = 36 units²
In trapezoid DEOP: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 10 and h = 3 ⇒
2 × [tex]A_{DEOP}[/tex] = 2 × [3(6 + 10) ÷ 2] = 48 units²
[tex]A_{total}[/tex] = 42 + 36 + 48 = 126 units²
The ramp measures 9 feet long and is 3 feet from the ground. What is the slope of the ramp?
Answers
Answer:
I think it's y = 3 and x = 9 so 3/9 I think.
or -3/9 if the ramp goes down
or 3/9 if the ramp goes up
good luck!
Determine whether 2, 5, 9, 14, . . . is an arithmetic sequence
Answers
Answer:
no because they do not go up by the same number plz mark brainiest
Step-by-step explanation:
A book weighs 0.65 kg. A printing company packs 5 copies of
the book in a box. How much do the books in the box weigh?
Answers
Answer:
3.25 kg
Step-by-step explanation:
Since there are five books in the box, and one book weighs 0.65 kg, you just have to multiply 0.65 by five.
0.65(5)=3.25. So the answer is 3.25kg
WILL GIVE BRAINLIEST A full grown elephant can, on average, eat 300 lbs of food and drink 50 gal of water each day. How much food is needed for 4 elephants for a week?
Answers
Answer:
8400
Step-by-step explanation:
Explanation: do 300 times 28 because 28 days is 4 weeks then you will get your answer please give brainliest!
Answer:
8400
Step-by-step explanation:
300x4 is 1200 then, you multiply by 7( 7 because there is 7 days in a week) which you get 8400 pounds of food
I need help with linear regression
Answers
Answer:
In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables). The case of one explanatory variable is called simple linear regression. For more than one explanatory variable, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable.
A Jackhammer from 1 meter away produces roughly 100dB of sound. What is the sound pressure caused by the Jackhammer? Recall that the loudness of a sound in decibels (dB) is given by the equation L=20log10(ppref) dB. Please help i'm so lost!!!
Answers
Answer:2
Step-by-step explanation:
Answer:
2Pa
Step-by-step explanation:
just did the hw :)