which expression is equivalent to the given expression?​

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:

(0,1) and (1,4)

Step-by-step explanation:

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

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:

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.

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.

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].

Answer:

its 96 hope this helps!

Step-by-step explanation:

it's  96 because 128-(128/8)=96

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)

C.

Volume of a cylinder is pi times radius squared times height.

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:

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:

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

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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Answer:

C. 18

Step-by-step explanation:

Inverse of 1/3 = 3

3 x 6 = 18

18 flowerpots can be filled with these 6 bags.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Brianna has 6 bags of soil.

Filling one flowerpot requires 1/3 of a bag of soil.

So, the number of flowerpots filled using 6 bags

=  6 / (1/3)

= 6 x 3

= 18 pots

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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:

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:

Algebra - Question related to graphs?

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?

Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times?  

Dose that make sense?

1:    Yes

Way out.

NY,S1,S2,S3,Ch

Way back

Ch,S4,NY

The Ch is the same therefore total is 7.

2:    

a(n)=-6+(n-1)(6)

3:  Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........

4:    A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?        

i guess it would be 7 as the answer because: Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........

Step-by-step explanation: Different Brainly's

1:    Answer:     7

Step-by-step explanation:     The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.  

So, cumulatively the altitude will touch the horizontal axis seven times.

2:    I Don't Know

3:    Answer:

5 is the right answer

Step-by-step explanation:

The graph will touch the horizontal x each time the altitude is zero.

Tha happens: 1st in Chicago before taking off, 2nd, in the intermediate place before getting to NY, 3rd in NY, 4th in the intermediate place before getting to Ch, and 5th when arrives to Ch.

4:    Answer:

7

Step-by-step explanation:

The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.

So, cumulatively the altitude will touch the horizontal axis seven times.

Answer:

so 240-90cm he cut off=195cm. Then 45x2=80cm so 195-90cm=105cm.

Therefore, 105 divided by 40=2.625 so he cut off 6 pieces of 40cm lengths overall

Step-by-step explanation:

Answer:

1. 43.98

2. 28.27

3. 7.85

Step-by-step explanation:

Answer:

12 ÷ 2 = 6

6 × 6 = 36

36 scrunchies

Answer:

someone deleted mine but its 36

Step-by-step explanation:

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 :

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

Answer:

The answer is 79 over 10!

Also, Broccoli boi is cool

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.

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:

Step-by-step explanation:

2ax−3<4x+5a

Step 1: Add -5a to both sides.

2ax−3+−5a<5a+4x+−5a

2ax−5a−3<4x

Step 2: Add 3 to both sides.

2ax−5a−3+3<4x+3

2ax−5a<4x+3

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]