Answer:
A.
Step-by-step explanation:
If two lines are parallel, then
corresponding angles are congruent. i
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
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24. Find the cost of 4.8 kilogranis oſ polalves at the price of $0.75 kilogram?
Answer:
$3.6
Step-by-step explanation:
I am assuming you mean kilograms when you say kilogranis, so well all you have to do is 0.75*4.8 and you have your answer
Find the value of that makes DEF~XYZ
Answer:
DEF~XYZ
xz/DF=xy/de in similar triangle side are proportional
3x/7=7.5/5
3x=7.5/5 ×1/7=7.5/35
Find the value of h(45) for the function below.
Answer:
I agree with her her explain and her solving
What’s the perimeter
Answer:64
Step-by-step explanation:
Answer:
64 is the answer :)
Step-by-step explanation:
i hope its correct
What is the best name for polynomial with 3 terms that has a degree
Answer:
Names of Degrees
Degree Name Example
1 Linear x+3
2 Quadratic x2−x+2
3 Cubic x3−x2+5
4 Quartic 6x4−x3+x−2
Answer:
Quartic Trinomial
Step-by-step explanation:
Monomial = one term
Binomial = two terms
Trinomial = three terms
Polynomial = four or more terms
As the other answer says, the order for degrees is:
Linear - to first degree
Quadratic - to second degree
Cubic - to third degree
Quartic - to fourth degree
Quintic - to fifth degree
Anything above fifth degree is just said "__th degree"
Example: x^7 + x^2 + 5 would be seventh degree trinomial
Emily made $12.50 selling lemonade for 2 hours. If Emily wants to save $100, approximately how many hours would she need to sell lemonade?
Answer:
she needs to work 16 hours
What are the transformations on the following
function, f (x) = -2 log4 (x + 5) - 4?
Answer:
8
Step-by-step explanation:
= f (x) = -2 log 4 (x + 5) - 4
= 4 (-2 + 5) - 4
= So you do -2 + 5 because they are in ( ) so you do it first so (-2 + 5) = 3
= So now you have 4 (3) - 4
= You do 4 and (3) because when you have a 4 by a ( ) that means you multiply.
= 4 (3) which is the same as 4 × 3 which is 12.
= then you do 12 - 4 which is 8.
= 8 is your answer.
I hope this helps.
Jenna is having her birthday party at the ice cream palace. The ice cream party palace charges 2.49 for each ice cream cone
Answer:
No answer
Step-by-step explanation:
You seemed to have not pisted the whole question. if you need to find the cost of a certain number of cones, use this equation.
Y=2.49x
Let Y equal the total cost
Let x equal the number of cones
31093÷14 with remainder
Answer:
31,093 / 14 = 2,220 R 13
Step-by-step explanation:
Answer:
2,220.9285714286 this is the answer of 31093÷14
PIease help me to find this answer
Answer:
870
Step-by-step explanation:
1035-165=870
Mrs. Datz had to make a visit to the bank because her account was overdrawn
by $32. After making a deposit of $100, Mrs. Datz was now happy that she had
some money. How much money did she have after making the deposit?
Answer:
The answer of this question is $68.
Someone help and plz make sure it’s right
Answer:
a=40° hope I helped:)....
Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey
Answer:
hmm
Step-by-step explanation:
What's the answer to this questions?
solve using they law of exponents
x^2 x x^-5
Answer:
−103
Step-by-step explanation:
Need help! Pls help meee
Answer:
3min
Step-by-step explanation:
it is
Help plzzzzzzzzzzzzzzzz
(1,-2)(5,4) find the mid point
Answer:
Step-by-step explanation:
Given points A ( 1 , - 2) and B ( 5 , 4)
Mid point of AB is
= ( ( x1 +x2)/ 2 , ( y1+ y2)/ 2 )
= ( ( 1 + 5)/2 , ( - 2 + 4)/2 )
= ( 3 , 1 )
hope it helps :)
Find the greatest common factor of 15w2 and 25w3.
Answer:
5w^2
Step-by-step explanation:
Answer:
5w^2
Step-by-step explanation:
Which rule describes why these triangles are congruent?
Answer:
Angle-Side-Angle Postulate
Step-by-step explanation:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent
Please help answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Answer:
y = -1/2x + 1Step-by-step explanation:
Slope-intercept form:
y = mx + b, where m - slope, b - y-interceptWe are given two points on the graph:
(0, 1) and (2, 0)The first point gives us the y-intercept:
b = 1Finding the slope using slope formula:
m = (y2 - y1)/(x2 - x1)m = (0 - 1)/(2 - 0) = -1/2The formula of the line:
y = -1/2x + 1need help i don't know of I got the the first problems rigth so just please tell me if I did and please answer second problem
Answer: Question 1 is correct and Question 2 is 12 degrees :)
Step-by-step explanation: hope this helped!
HElp please i’m failing and i’m tired of this
Answer:
[tex]\sqrt{4x} =6\\\\(\sqrt{4x} x^{2} =6^{2}\\\\\frac{4x}{4} =\frac{36}{4} \\\\x=9[/tex]
Step-by-step explanation:
i hope it helps
have a nice day ^_^
What is the value of b?
Find the value of x. (Round to the nearest tenth as needed.)
Answer:
Hope that answers your question
PLZZZZZZZ HELLLPPP MEE HURRYRYYYYYYY AREA OF A CIRCLE PLZZ ILL MAKE YOU BRILLIANTEST PLZ HURRY!!!!!!!!! USE PIE IN YOUR ANSWER!!!!!!!!
Answer:
I think it is 15.708. sry if i am wrong
Step-by-step explanation:
my question is in the picture as well as the problem.
Answer:
Smallest to largest:
1 out of 10, 2/5, 2 out of 3, .75, 7/8
Step-by-step explanation:
An easy way to do this is to write each in decimal form
2/3 = .666666......
2/5 = .4
7/8 = .875
.75
1/10 = .10
Smallest to largest:
1 out of 10, 2/5, 2 out of 3, .75, 7/8
Find the missing angle or find X?
Answer:
x = 45
Step-by-step explanation:
Interior angles of a triangle sum up to 180
180 - 90 = 90
90 / 2 = 45
Answer:
X = 45
Step-by-step explanation:
Since all interior angles of a triangle add up to 180 and both of the missing angles are the same value, X would equal 45,
90+45+45=180
Choose the correct answer: 15 is 3% of
(A) 1.5
(B) 2.5
(C) 500
(D) 5000
Answer:
c) 500
Step-by-step explanation:
3% = 0.03
multiply the decimal from of 3% by 500:
500 x 0.03
solve:
500 x 0.03 = 15