Answers
Answer: Choice B)
If corresponding angles are not congruent, then the lines are not parallel.
==================================================
Explanation:
The given conditional is in the form "If P, then Q"
where,
P = two lines are parallelQ = corresponding angles are congruentThe P and Q are placeholders for those definitions shown above. So we'll simply do a "search and replace" to replace P and Q with those phrases. We do this shortening so that we can do logical operations.
Specifically, we'll do two things:
Swap the positions of P and QPlace a "not" before each letter after the swapWe go from the format "if P, then Q" to "if not Q, then not P". Those two formats are equivalent in truth value. This is known as the contrapositive.
In terms of the problem at hand, the phrase "if not Q, then not P" becomes "If corresponding angles are not congruent, then the lines are not parallel"
-------------
In short, we swap each part of the original "if ..., then ..." statement, and stick "not"s in there to negate each piece.
Option B is correct, if corresponding angles are not congruent then the lines are not parallel.
What is Mathematical Reasoning?In mathematics, reasoning involves drawing logical conclusions based on evidence or stated assumptions
The given statement is "If two lines are parallel, then corresponding angles are congruent."
Let us consider p as two lines are parallel,
q as corresponding angles are congruent.
If p is true then q should be true
or else if p is false then q also should be false
if P, then Q" to "if not Q, then not P". Those two formats are equivalent in truth value
This is known as the contrapositive.
"If two lines are parallel, then corresponding angles are congruent." is equivalent to if corresponding angles are not congruent then the lines are not parallel.
Hence, option B is correct, if corresponding angles are not congruent then the lines are not parallel.
To learn more on Mathematical reasoning click:
https://brainly.com/question/11679298
#SPJ2
Related Questions
PLEASE HELP ITS DUE IN 30 MINNNNN
Answers
Answer: Radius 6 because Radius is 1/2 of the diameter so 12/2=6
Diameter 14 because the Radius is 7 so 7x2=14, times 2 because the diameter is 2 radius.
Step-by-step explanation:
A school club is comparing prices at two movie theaters. Theater 1 charges $7.50 for a movie ticket and $5.75 per item at the concession stand it would cost a total of $187.75 for their group. Theater 2 charges $22.50 a ticket and $7.50 per item for a total of $397.50. Using this information solve for how many tickets and how many concession items they plan to purchase how many movies do they plan to purchase? and how many snack bins did they get?? I will give you brainlist !!!!!
Answers
Step-by-step explanation:
Aiuda plis necesito para hooooy
Answers
Answers:
No sé lo que eso significa, pero ¿puedes marcarme mentalmente?
Step-by-step explanation:
For the diagram shown, which angles are alternate interior angles?
Answers
Answer:
∠3 and ∠5
Step-by-step explanation:
Please help.
Algebra.
Answers
9514 1404 393
Answer:
8
Step-by-step explanation:
A system of linear equations has no solution when the equations describe parallel lines. Parallel lines have the same slope. In your equation, the slope is the x-coefficient, 8. A parallel line will have a slope of 8.
The second equation will have a slope of 8 if the system has no solution.
Hi need points?
I’ll also give best answer
Answers
Answer:
can you answer my latest post plsssssss id appreciate it
Step-by-step explanation:
PLEASE HELP NOW!!!!!!!
Answers
Answer: BC
Step-by-step explanation:
I know this because i did this one before your welcome
need help asap will give brainly
Answers
Answer:
x = 60
Step-by-step explanation:
So, ever triangle, no matter what shape or size, is always going to equal 180 degrees. You start off by trying to find angle L which is 71. The way you find this is you subratch 109 from 180 which ultimately gives you 71.
180 - 109 = 71
After that you have to add what you already have (49 degrees) with what you just found (71 degrees)
49 + 71 = 120
Now that you have 120, you have to again subtract 180 by 120 to get your answer, 60 degrees. And that's it.
180 - 120 = 60
Please answer! I’ll make brainliest
Answers
Answer:
16 feet
Step-by-step explanation:
We are Given that
We have a 34 foot ladder leaning against a 30 foot buildingWe are asked to find the distance of the bottom ladder from bottom of the building.A ladder leaning against a object makes the ladder slanted so that means 34 is our hypotense.
The building height And distance of the bottom of ladder and building is our legs so our formula we use is
[tex] {30}^{2} + {x}^{2} = {34}^{2} [/tex]
[tex]900 + {x}^{2} = 1156[/tex]
[tex] {x}^{2} = 256[/tex]
[tex]x = 16[/tex]
what is T/8 = -4 solve for T
Answers
Answer:
The answer is -32
Step-by-step explanation:
Multiply both sides by 8 to cancel 8 as the denominator and you have T = -32
The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?
Answers
*see attachment for the diagram of the triangular prism box
Answer:
528.8 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(BA) + P*H
Area of triangular base (BA) = ½*b*h
b = 24.5 in.
h = 12 in.
BA = ½*24.5*12 = 147 in.²
Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.
Height of prism = 4 in.
Plug in the values into the surface area formula:
Surface area of prism = 2(147) + 58.7*4
= 294 + 234.8
= 528.8 in.²
I will give Brainliest AND a Cookie!
Answers
Answer:
it might be c not to sure
Step-by-step explanation:
sorry if u get it wrong
Answer:
c
Step-by-step explanation:
I CAN GET A COOKIE
What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1?
Answers
Answer:
y =1x+4
Step-by-step explanation:
If one side of a cube has
an area of 25 inches
squared, what is the
volume of this cube?
Answers
A=6a2
V=a3
Solving forV
V=6A3/2
36=6·253/2
36≈8.50517
v is approx. 8.51
hope it helps =) ♥
what mouse walks on 2 feet?
that one was easy
Now, what duck walks on 2 feet?
Answers
Answer:
A duck with 2 feet
Answer:
Donald duck and Remy
Step-by-step explanation:
eli is going to make apple pie he buys 17 apples and put them and put the in paper bags to take home each bag holds 6 apples how many bags eli completely fill? how many appels are left
Answers
Answer:
Eli can only have 2 bags, and there will be 5 apples left
Step-by-step explanation:
17/6=2 with a remainder of 5
Answer:
17/6=2 with a remainder of 5
Step-by-step explanation:
add or subtract to simplify IHML
Answers
6x^2+8x
Answer:
A) 6x^2 + 8x
Step-by-step explanation:
2x^2 + 4x^2 = 6x^2
7x + x = 8x
6x^2 + 8x
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
can someone help me with this, please
Answers
Answer:
Please find attached pdf
Step-by-step explanation:
Calculate the percentage increase of an item that cost R59.99 in 2020 and R 65.99 in 2021
Answers
Answer:
the answer is of this question R = 10
Answer:
The answer is 6%
Step-by-step explanation:
[tex]65.99 - 59.99 = \frac{6 \times 100}{100} = 6\%[/tex]
can somebody help me pleaseeee !
Answers
Answer:
First and Third one
Step-by-step explanation:
First one: No Solution
Second one: x= All real numbers
Third one: No Solution
Fourth one: All real numbers
Find the inverse for me please
Answers
Answer:
(C). [tex]f^{-1}[/tex] = ( x + 4 )² ; x ≥ 0
Step-by-step explanation:
Rewrite using a single positive exponent
Answers
Step-by-step explanation:
[tex] \frac{ {7}^{4} }{7} = {7}^{4 - 1} = {7}^{3} [/tex]
What is the value of x in the equation 0.03x − 1.2 = 0.24?
Answers
Answer:
x = 48
Step-by-step explanation:
solved it just now-
What is 6/5 be cause I am having a hard time
Answers
Answer:
Step-by-step explanation:
6/5 = 1⅕ or 1.2
Answer:
decimal form 1.2
mixed form: 1 1/5
Step-by-step explanation:
I'm not sure which answer you were looking for
Please help, 16 points and i’ll mark you as brainlest
Answers
I think this is the answer, sorry I am not 100% sure
can someone help with this?
Answers
Answer:
8
Step-by-step explanation:
10(4)-2(4)^2
What is 50% of 98 pls
Answers
The answer is 49 :))
A wedding reception was
being held at Stefano's
restaurant. They charged
$2.00 per person for
appetizers, $20.00 per
person for the main course
and $250 for the wedding
cake. There were 50 people
at the reception. What was
the total cost of the
reception?
Answers
Answer:
the total cost of the wedding would be: 1,350
Step-by-step explanation:
2×50=100 and 20×50=1,000
100+1,000=1,100
1,100+ 250= 1,350
total for wedding is 1,350
:)
Answer: The answer for this problem is $1350.
Step-by-step explanation:
The first thing you do is to see how much money for the appetizers and the main course did all 50 people pay.
50 x 2 = 100, how much money in total for the appetizers
50 x 20 = 1000, how much money in total for the main course
Once you're done with that! Next, you add the total prices for the appetizers and the wedding cake. Then, you add up the $250, so you get your answer!
$100 + $1000 = $1100
$1100 + $250 = $1350
This is how you get the answer!
4х + 1= 3x + 2
does it have no solution one solution or infinitely many solutions
Answers
Step-by-step explanation:
4x-3x=2-1
×=1
that's fine
Han creates a scatter plot that displays the relationship between the number of items sold, x, and the total revenue, y, in dollars.
Han creates a line of best fit and finds that the residual for the point (12, 1,000) is 75. The point (13, 930) has a residual of -40.
Interpret the meaning of -40 in the context of the problem.
Answers
Answer:
In context of the problem, -40 means that 40 was the difference between the actual data, and the estimated data.
Step-by-step explanation:
Here -40 represent the difference between the actual data and the estimated data.
Given that,
Han creates a line of best fit and finds that the residual for the point (12, 1,000) is 75. The point (13, 930) has a residual of -40.Based on the above information we can say that the -40 shows the difference of data.
Learn more: brainly.com/question/17429689