Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.

Given: D Is The Midpoint Of AB: E Is The Midpoint Of ACProve: DE 1 BCComplete The Missing Parts Of The

Answers

Answer 1

Answer:

Step-by-step explanation:

Slope of DE = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    =  [tex]\frac{c-c}{a+b-b}[/tex]

                    = 0

Slope of BC = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    = [tex]\frac{0-0}{2a-0}[/tex]

                    = 0

Therefore, DE║BC because slopes of BC and DE are equal.


Related Questions

what is 3 1/4 as an improper fraction a imprper fraction?​

Answers

Answer:

13/4

Step-by-step explanation:

3×4=12

12+1=13

Your welcome

Answer:

13/4

Step-by-step explanation:

Which equation represents a line which is parallel to the line 5x + 7y = 49?

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Answer:

(0,7)

Step-by-step explanation:

use desmose it will show you (0,7)

Blueberries cost $4.00 per pound. How many pounds of blueberries can you buy for $1.00?

Answers

Answer:

1/4 of a pound

Step-by-step explanation:

Blueberries are 4 dollars a pound you have 1 dollar

you can by 1/4 of a pound

Answer:

You can get 4 ounces

Step-by-step explanation:

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Answer:

12/7

Step-by-step explanation:

how do I figure out the speed of a train with constant speeds

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Answer:

If you know the distance the train went and how long it was travelling for you can use the formula:

speed = [tex]\frac{distance}{time}[/tex]

Answer:

Trains regularly reach speeds of 125-150 mph (201-241 kph).

Step-by-step explanation:

3 1/9+2 1/4=
what is the answer

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Step-by-step explanation:

Help

w(n)=-2n-1. Find f(3)

Answers

Answer:

-7/3

Step-by-step explanation:

substitute 3

w(3)=-2(3)-1

3w=-6-1

3w=-7

divide by 3

w=-7/3

please give answer please!!!!!!!!!!!!​

Answers

Answer:

All of them produce an angle of 90 degrees, therefore

90 degrees x 4 = 360 degrees

Fint the are and perimeter of the shape at the bottom

Answers

Answer:

Area: 59.5 ft squared

Perimeter: 31.6 feet

Step-by-step explanation:

Area:

For the area of the square, you're going to use the formula length times width. The length and width are both 7, so you'll do 7 times 7, which is 49. Next, you need to find the area of the triangle. It's a bit more confusing since they give you the hypotenuse (7.6 ft), but they did that to try and trick you. The area of a triangle is length times width divided by two. So, you're going to take the width (3) and multiply it by the length (7). The length is 7 because the length of the square and the triangle are the same since the bottom of the triangle is the same length as the top of the square. Anyway, using the formula, you will do 7 times 3 divided by 2, which is 21 divided by 2, which is 10.5. Add the 10.5 to the 49 we got from the square, and you'll get 59.5 feet squared.

Perimeter:

For the perimeter, you just need to add the side lengths. Starting at the top and going to the right, we can add 7.6+7+7. We don't get the left length, but it's the same as the rest of the square (7) because all sides of a square are equal. So, now we have 7.6+7+7+7, which is 28.6, and we just need the last one which is 3, so the final answer is 31.6 feet.

Answer:

Area: 59.5 ft squared

Perimeter: 31.6 feet

Step-by-step explanation:

X
-2
-1
0
1
2
у
N
3
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5
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Answers

Answer:

can you round it up? what is the question and what are we solving for?

Damian has a mask collection of 500 masks he keeps 64% of the masks on his wall. How many masks does he keep on his walk?

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Answer:

he has 320 masks on his wall

Clyde took a survey to see the favorite pizza topping of his 6th grade classmates.
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pepperoni
sausage
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Number of Students
45
36
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Answers

I’m pretty sure it’s 3:4 Correct me if I’m wrong

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Y: 14 -2 0 8 34

Answers

Answer:

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Step-by-step explanation:

A-2

B.1/-2

C.1/2

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Michael can mow 5 lawns in 36 minutes. At this rate, how long will it take him to mow 15 lawns?

Answers

Answer:

It would take him 108 minutes to mow the lawn.

Step-by-step explanation:

We can do proportion.

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What's the length of the diameter of the ferris wheel?

Answers

520 feet (158.5 m)
Ghhynny

Mr. Rogers is designing the layout for a new floor of his office. His new layout will have 8 workstations in one row, with the side length of each workstation being 2 feet longer than the side length (s) of the workstations in the existing layout. He writes this expression to help him design the layout.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Search it up on google

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Answers

Answer:

the remainder is 58

Step-by-step explanation:

when you use long division and can't fit what you are dividing by into the number, that is your remainder.

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Answers

Answer:

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Step-by-step explanation:

Help me it’s not D !!!!

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The answer to this is A.

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Answers

2/5 does not have the same value

PLEASE HELP ME ITS DUE TODAY!!
PLS SHOW WORK OR EXPLAIN!!

Answers

Answer:

(-3, -0.5)

first put the points, then just draw the line that goes throw that row of dots.

Step-by-step explanation:

so this isnt very complicated, you need to put the points on the coordinate plane (the grid) and find where they meet coordinates (written starting with the x and ending with the y are written like this: (x,y))

go to the bottom line (x axis) and find the number in the x row on the page, then take the vertical line and go until the two ends meet,repeat that until there are no more coordinates to graph on the left box draw a straight line for all of the coordinates do the same with the other box drawing a line whre the other coordinates. if done right the lines should intersect, and the intersecting point is the answer

Problem ID: PRABJVTY

Answers

Answer:

I'm confused too I'm sorry

the averages of the squared differences between the data values and the mean is known as​

Answers

Variance is the answer.

Explanation:

The variance is the average of the squared differences from the mean. To figure out the variance, first calculate the difference between each point and the mean; then, square and average the results.

3/5 + 7/10 + ¾ what is the answer

Answers

Answer:

2 1/20

Step-by-step explanation:

Compare -3.6 and 1.2.

Answers

Answer:

-3.6 is a negative number compared to 1.2. 1.2 is -3 times less than -3.6. -3.6 is -3 times more than 1.2

Step-by-step explanation:

(can I get brainliest)

Answer:

they are both number with a decimal in it

Step-by-step explanation:

is (-3,4) a solution to y=2x+2??​

Answers

Answer:

NO i do not think so because you would end with a -4 not positive because a positive times a negative is a negative so (-3,4) is not a solution.

I hope this helps sorry if am wrong

Step-by-step explanation:

If f(x) =|3x + 2, what is f(-1)

Answers

-1 because you plug in -1 times 3 and that’s then -3 after that you add 2 which is -1
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