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.
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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"
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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:
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The four small circles are identical. The total area of the small circles is 36π square inches. What is the area of the larger circle?
Answer:
Check pdf
Step-by-step explanation:
The radius of the larger circle is 12 inches. Then the area of the larger circle will be 144π square inches.
What is the area of the circle?Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The four small circles are identical. The total area of the small circles is 36π square inches. Then the radius of each small circle is given as,
36π = 4 × (πr²)
r² = 9
r = 3 inches
Then the radius of the larger circle is calculated as,
R = 4r
R = 4 × 3
R = 12
Then the area of the larger circle will be given as,
A = π × (12)²
A = 144π square inches
The radius of the larger circle is 12 inches. Then the area of the larger circle will be 144π square inches.
More about the area of a circle link is given below.
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The table shows conversions of pounds to ounces. A 2-column table with 4 rows. Column 1 is labeled Pounds with entries 2, 4, 6, 8. Column 2 is labeled Ounces with entries 32, 64, 96, a. Use the drop-downs to answer the following questions about the data in the table to determine the next value. What is the pattern of ounces as the pounds increase by 2? What is the value for a in the table representing the amount of ounces in 8 pounds?
Answer:
its 96 hope this helps!
Step-by-step explanation:
it's 96 because 128-(128/8)=96
Solve for x and y.?? having trouble
Answer:
c
Step-by-step explanation:
took the test
Answer:
Option C is the correct answer
[tex] x = 34 \\y=17\sqrt3[/tex]
Step-by-step explanation:
[tex] \sin \: 30 \degree = \frac{17}{x} \\ \\ \frac{1}{2} = \frac{17}{x} \\ \\ x = 17 \times 2 \\ \\ x = 34 \\ \\ \tan \: 30 \degree = \frac{17}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{17}{y} \\ \\ y = 17 \sqrt{3} [/tex]
I need someone to actually fill this out
i will mark brainliest
Answer: See below
Step-by-step explanation:
-3 2^x + 3 = 2^(-3) + 3 = 0.125 + 3 = 3.125 (-3, 3.125)
-2 2^x + 3 = 2^(-2) + 3 = 0.25 + 3 = 3.25 (-2, 3.25)
-1 2^x + 3 = 2^(-1) + 3 = 0.5 + 3 = 3.5 (-1, 3.5)
0 2^x + 3 = 2^(0) + 3 = 1 + 3 = 4 (0, 4)
1 2^x + 3 = 2^(1) + 3 = 2 + 3 = 5 (1, 5)
2 2^x + 3 = 2^(2) + 3 = 4 + 3 = 12 (2, 12)
3 2^x + 3 = 2^(3) + 3 = 8 + 3 = 11 (3, 11)
Can someone please help me show my work for 6. And 7. I really need help and haft to show how I got the answers I’ll give the brainly to the brainliest :)
can anyone help? i rlly need help !
A town council wants to conduct a survey on town policies using a random sample of residents.
Which method would result in a random sample?
A
Ask all residents having lunch at a local restaurant
B Ask the first 5 residents who visit town hall after it opens
С
Draw slips of paper with names of residents out of a large box.
D
Print survey forms on postcards and have residents mail their responses
Answer:
Step-by-step explanation:
Answer:
The correct answer is C. Draw slips of paper with names of residents out of a large box.
Step-by-step explanation:
Hope it helps-
On average, it takes Xavier \large 2\frac{1}{6}hours to drive to his Mom's house. After \large 1\frac{3}{4}hours, how many hours does he have left to drive?
2 because iiiiiiiiiiiiiiiiiiiiiiiiii
A boat traveled at an average speed of 27 miles per hour for 2 hours after first leaving the dock and then traveled at an average speed of 65 miles per hour for 4.5 hours. What is the total distance in miles the boat traveled?
A. 98.5 miles
B. 54 miles
C. 346.5 miles
D. 292.5 miles
Answer:
C
Step-by-step explanation:
27 miles for 2 hours so u add 27 + 27 = 54 than it says 65 miles per hour and travels for 4.5 hours so do 65 x 4.5 = 292.5 than add 54+292.6 and you will get the final answer wich is 346.5
help me who know deku
Answer :
[tex]\frac{79}{10}[/tex]
Answer:
The answer is 79 over 10!
Also, Broccoli boi is cool
How many ounces of yogurt can you get
for $4.00?
Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long. Davie rides at 20 miles per hour and leaves 90 minutes before Horatio. How fast must Horatio ride to finish at the same time as Davie?
24 mph
24.5 mph
32 mph
33.3 mph
The speed Horatio ride to finish at the same time as Davie is mathematically given as
X=32 mph
What is the speed Horatio ride to finish at the same time as Davie?Question Parameter(s):
Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long.
Davie rides at 20 miles per hour and leaves 90 minutes before
Generally, the equation for the speed Horatio is mathematically given as
X=d/t
Therefore
X= (80)/(2.5)
X=32 mph
Read more about Arithmetic
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I just want the coordinates, thanks :)
Answer:
(0,1) and (1,4)
Step-by-step explanation:
My sister promised to buy me 6 scrunchieas for every two laps I completed. I ran the whole race, which was 12 laps. How many scrunchieas did my sister buy me?
Answer:
12 ÷ 2 = 6
6 × 6 = 36
36 scrunchies
Answer:
someone deleted mine but its 36
Step-by-step explanation:
If the function h is defined by h(x)=[tex]x^{2}[/tex]-3x+5,then h(2x+1)=
Given:
The function is:
[tex]h(x)=x^2-3x+5[/tex]
To find:
The value of [tex]h(2x+1)[/tex].
Solution:
We have,
[tex]h(x)=x^2-3x+5[/tex]
Putting [tex]x=2x+1[/tex], we get
[tex]h(2x+1)=(2x+1)^2-3(2x+1)+5[/tex]
[tex]h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5[/tex]
[tex]h(2x+1)=4x^2+4x+1-6x-3+5[/tex]
On combining like terms, we get
[tex]h(2x+1)=4x^2+(4x-6x)+(1-3+5)[/tex]
[tex]h(2x+1)=4x^2-2x+3[/tex]
Therefore, the required function is [tex]h(2x+1)=4x^2-2x+3[/tex].
You and your friend are standing back-to-back. Your friend runs 10 feet forward and then 8 feet right. At the same time, you run 11 feet forward and then 12 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?
Answer:
29 feet
Imagine you are on an open plane.
you walk 11 feet forward and your friend 10 feet. you are now 21 feet apart. now put imaginary walls that stopped both of you at that 21 feet.
now, you go 12 feet to your right, and your friend 8 feet to their right. imagine you are pushing a wall in front of you.
at that point the side walls are 20 feet apart.
you and your friend are at opposite corners of a 20 by 21 foot room.
at that point it's just a matter if applying the Pythagorium theory.
PLEASE HURRRYYYYYYY!!!!!!!!!!
Answer:
The first one
Step-by-step explanation:
Find the missing angle
Answer: 110 degrees
Step-by-step explanation:
30+40=70
180-70=110
Javier and Carlita are studying measures of spread. After looking at Dot Plot A and Dot Plot B, Carlita believes the standard deviation for Dot Plot A is larger than the standard deviation for Dot Plot B. Javier believes the standard deviation for Dot Plot B is larger than the standard deviation for Dot Plot A. Choose whether Javier or Carlita is correct, and the best reasoning to support your answer.
Answer:
the answer is d
Step-by-step explanation:
a standard deliation is how streaded out the number thing is
Answer:
Carlita is correct because Dot Plot A is more spread out than Dot Pot B
Step-by-step explanation:
Dot Plot B is skewed left which means most of its data is on the left side so it will mostly have lower numbers as data. On the other hand, Dot Plot A is spread out so it has both low numbers but also some higher numbers.
cot^2x-csc^2x=
please include the steps thank you !!
will give branliest
Answer:
Step-by-step explanation: One of the fundamental identities is #1+cot^2(x) = csc^2(x)#.
Starting with your given:
#cot^2(x)-csc^2(x)#
Replace #csc^2(x)# with #1+cot^2(x)#:
#cot^2(x)-(1+cot^2(x))#
#=cot^2(x)-1-cot^2(x))#
#=-1#
the cost of 5 cans of dog food is 4.35. how much do 11 cans of dog food cost
É só vc ir somando até 11.
Ou multiplicar por 11.
4,35x11
Espero ter ajudado!
Help!! Screenshot below.
Answer:
60
Step-by-step explanation:
person above is correct
hi! like almost everyone else on here, I'm probably gonna fail so uh help, please? In your own words explain how to multiply/divide radical expressions? How do you know if you can or cannot simplify them?
Answer:
It does not matter whether you multiply the radicands or simplify each radical first. You multiply radical expressions that contain variables in the same manner. As long as the roots of the radical expressions are the same, you can use the Product Raised to a Power Rule to multiply and simplify.
Step-by-step explanation:
Martín afirma que todo número entero es un
número racional. ¿Es correcta la afirmación de
Camilo?
i would answer this but i don't know this language .
6(t - 1) = 9(t - 4)
t = ?
t = 43
My reasoning is that I just did this and if you were to times 4 x 9 you would get minus ce tre avergae t pens
(1 point)
5. Write the polynomial in standard form. Then name the polynomial based on its degree and
number of terms.
5x + 2x4 – 4
O 5x – 4 + 2x4, not a polynomial
O 2x4 + 5x – 4; fourth-degree trinomial
O 5x + 2x4 – 4; quadratic monomial
O 2x4 + 5x – 4; cubic binomial
Answer:
Option (2)
Step-by-step explanation:
Standard form of the polynomial will be in the form of (ax⁴+ bx³+ cx²+ dx + e).
Which means exponents of each successive term will be in the reducing form and the last term will be a constant term.
Now we can rearrange the terms of the given polynomial (5x + 2x⁴ - 4) for the standard form.
(2x⁴ + 5x - 4)
Since, degree of the leading term = 4
And number of terms = 3
Given polynomial is a fourth degree trinomial.
Option (2) will be the answer.
(awarding brainliest) PLS HELP ME i’m not that smart.
using 3.14 or 22/7 ( rounding to the nearest hundredth if necessary) What is the CIRCUMFERENCE of these 3 circles.
Answer:
1. 43.98
2. 28.27
3. 7.85
Step-by-step explanation:
The cone and cylinder below have equal surface area
Answer:
Step-by-step explanation:
It's false AP appove
The curve formed by a quadratic equation is called a...?
Answer: The curve formed by a quadratic equation is called a PARABOLA
Step-by-step explanation:
Answer:
Parabola
Step-by-step explanation: