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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,

The 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:

We 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.

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.

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Answer:

1. 43.98

2. 28.27

3. 7.85

Step-by-step explanation:

i would answer this but i don't know this language .

Step-by-step explanation:

Put x as the width and x+8 as the length. The equation would be x(x+8)=33 and it would factor out as (x-3)(x+11). The width is 3 and the length is 11. The perimeter would be 28.

Answer:

$74,664.76

Step-by-step explanation:

We are to determine the future value of  £45 500

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

Future value for the first 5 years =  £45 500 x (1 + 0.045)^5 = $56,701.28

Future value for the remaining 8 years = $56,701.28 x ( 1 + 0.035)^8 = $74,664.76

Answer:

21 glasses can be filled

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.

Answer: V = (12in - 2*x)*(8 in - 2*x)*x

Step-by-step explanation:

So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.

Remember that for a box of length L, width W and height H, the volume is:

V = L*W*H

In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:

L = 12 in - 2*x

For the width we have a similar case:

W = 8in - 2*x

And te height of the box will be equal to x, then:

H = x

This means that the volume is:

V = (12in - 2*x)*(8 in - 2*x)*x

Here we can see the connection between the cutout and the volume of the box

É só vc ir somando até 11.

Ou multiplicar por 11.

4,35x11

Espero ter ajudado!

Answer:

the fraction of the newspaper remains is [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

The computation of the fraction of the newspaper remains is shown below:

[tex]= \frac{1}{2} - \frac{1}{5} \\\\= \frac{5 - 2}{10} \\\\= \frac{3}{10}[/tex]

Hence, the fraction of the newspaper remains is [tex]\frac{3}{10}[/tex]

we simply deduct these two fractions so that the remaining fractions could come

Answer:

The first one

Step-by-step explanation:

Answer: The curve formed by a quadratic equation is called a PARABOLA

Step-by-step explanation:

Answer:

Parabola

Step-by-step explanation:

2 because  iiiiiiiiiiiiiiiiiiiiiiiiii

Answer :

[tex]\frac{79}{10}[/tex]

Answer:

The answer is 79 over 10!

Also, Broccoli boi is cool

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)

Answer:

Reading in first person account of a slave auction is important because you get to read what they had to experience from their point of view.

Now all you have to do is look through the text that they want you to support your answer with. Look for parts of the text/passage that show what the slaves went through through THEIR point of view/first-person.

Hope this helped ;)

Answer:

its 96 hope this helps!

Step-by-step explanation:

it's  96 because 128-(128/8)=96

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

Answer:

166 dogs were at the veterinary hospital

Step-by-step explanation:

Here, we want to know the number of dogs that were at the veterinary hospital

From the question, 72% of these animals are dogs

72% of a total of 230

Mathematically, the number of dogs are as follows;

dogs = 72% of 230

dogs = 72/100 * 230 = 165.6

since we cannot have a fractional dog, we round off to the nearest whole number which is 166 dogs

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#

Answer:

8.3

Step-by-step explanation:

To find a length, we want to find how many radians our arc length is. Let's convert our 73-degree angle into radians, which will give us our radian length.

(73)≈1.2741

Now, we know our arc length is equal to about 1.2741 radians. Let's multiply this by our radius.

1.2741(6.48)≈8.3

Therefore, our arc length is about 8.3 inches.

I hope this helps!

( not my answer, i saw this question posted somewhere else and it was already answered :)

The length of arc PS is 8.3 inches.

Here we have to convert our 73-degree angle into radians, which will give us our radian inch length.

i.e.

(73)≈1.2741

Now, we know our arc length is equivalent to about 1.2741 radians.

Let's multiply this by our radius.

1.2741(6.48)

≈8.3

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Answer:

12 ÷ 2 = 6

6 × 6 = 36

36 scrunchies

Answer:

someone deleted mine but its 36

Step-by-step explanation:

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]

Answer:

4

Step-by-step explanation:

To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

y = -0 + 4

y = 4

Answer:

(0,1) and (1,4)

Step-by-step explanation:

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.

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].

The speed Horatio ride to finish at the same time as Davie is mathematically given as

X=32 mph

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

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