Prove that DE is parallel to BC.
Please help, will award brainliest.

Prove That DE Is Parallel To BC. Please Help, Will Award Brainliest.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

To find D and E use the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then

D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and

let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then

E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )

Use the slope formula to find slopes of DE and BC

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then

[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then

[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Since the slopes are equal then DE and BC are parallel lines

Answer 2
Anwser


I know he anwsered it but I really want to level up so can you please give me Brainliest

Related Questions

can someone help me with this asap.​

Answers

Answer:

fourth option

Step-by-step explanation:

Given

3x < - 9 ( divide both sides by 3 )

x < - 3

solution set is { x | x < - 3 }

ANSWER ASAP FOR BRAINLIESTT

Answers

It was really fun 4639

between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year

Answers

Answer: Approximately 4.333 cubic miles

Explanation:

2008 - 2002 = 6 years have passed

In that time frame, we lost 26 cubic miles of ground water.

This means we lost about 26/6 = 4.333 cubic miles of ground water per year.

somebody please help

Answers

Answer:

169

Step-by-step explanation:

13²

=169

BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP

3r+4=qr-5p for r

Answers

Answer:

r = qr - 5p - 4

Step-by-step explanation:

3r + 4 = qr - 5p

Subtract:

3r = qr - 5p - 4

Divide:

r = qr - 5p - 4

What is the value of the function at x=-2

Y=-4
Y=0
Y=2
Y=3

Answers

Y=3 I took test and it’s right

A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total marbles?

Answers

Answer: 3:20

Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.

Need help anyone know how to do this

Answers

X Coordinate: (-3a + 3a)/2
0/2 = 0

Y Coordinate: (b + b)/2
2b/2 = b

Midpoint: (calculated x, calculated y)

In this case, the midpoint should be (0, b)

I will give Brainlyest to the first person



A family gathered 12 seashells from the beach bringing the total number of seashells in their collection to 86
Which equation can be used to find, x, the number of seashells in the collection before the 12 were added?

Answers

Answer:

The first selection is the answer.

Step-by-step explanation:

x+12=86

The equation that can be used to find x is x + 12 = 86

A linear equation is of the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of seashells in the collection before the 12 were added.  Hence to find x, we use the equation:

x + 12 = 86

The equation that can be used to find x is x + 12 = 86

Find out more at: https://brainly.com/question/13911928

(-2)^3=

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answers

Answer:

[tex]\left(-2\right)^3=-8[/tex]

Step-by-step explanation:

Given the expression

[tex](-2)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-2\right)^3=-2^3[/tex]

[tex]=-2^3[/tex]

[tex]=-8[/tex]       ∵  [tex]2^3=8[/tex]

Therefore,

[tex]\left(-2\right)^3=-8[/tex]

his figure is made from part of a circle and part of a square.

Answers

Answer:

What?

Step-by-step explanation:

That was pretty deep

somebody please help

Answers

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF


b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)

Answers

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. [tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

[tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Simplify 2 x × − 3 x × − x

Answers

Answer:

[tex]\huge\boxed{2x^x-3x^x-x=-x^x-x}[/tex]

Step-by-step explanation:

[tex]2x^x-3x^x-x=(2-3)x^x-x=-x^x-x[/tex]

Find the 12th term of the geometric ouence 5, 15, 45,...

Answers

Answer:

295,245

Step-by-step explanation:

It is always multiplying by 3.

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245

Answer:

885735

Step-by-step explanation:

Can someone please tell me if the following relations are functions please?

Answers

yes the first one is a function. The second one with the arrows is not.

Complete the synthetic division problem below.
-1/ 2 8 6
What is the quotient in polynomial form?
O A. X-6
O B. X+6
C. 2x + 6
D. 2x-6

Answers

Answer:

c bc of -1/ 2 8 6 of you divide and then u multiple

The quotient of the synthetic division problem -1 | 2 8 6 in polynomial form is 2x + 6.

How to determine the quotient?

The synthetic division problem is given;

-1 | 2 8 6

Remove the number before the | sign

2 8 6

Remove the middle number;

2 6

Introduce a variable starting from an exponent of 0 (let the variable be x);

2x¹ 6x⁰

Evaluate the exponents;

2x 6

2x + 6

Hence, the quotient of -1 | 2 8 6 in polynomial form is 2x + 6.

Read more about synthetic division at:

brainly.com/question/10465785

#SPJ2

What similarity property, if any, can be used to show that the following two triangles are similar.

Answers

They both have right angles and have the same angles overall. Essentially they are the same size, one is just expanded bigger than the other. It might be dilation. The inside line so indicate the similarity in angle sizes.

Answer:

The angles

Step-by-step explanation:

On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.

Hope this helps you

Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Calculate the mean and median without the outlier. Part D - How did the outlier affect the mean and median? Does the outlier have a greater effect on the mean or the median? Justify your answer with your calculations.

Answers

The outlier is 3, and the outlier has a greater effect on the mean because it is an average of all numbers where as the median is just the middle value in the data set. Everything else you can do on your own. To find the mean you add all the numbers up and divide by the total amount of numbers there are, the median you just cross one out from the left and then cross one out from the right and continue doing this until you are left with one number, or if you are left with two numbers you can add those two numbers up and then divide them by 2

Maurice can pack 100 cans in 20 minutes Is this a faster or slower rate than packing 160 cans in 40 minutes?

Answers

Maurice can pack cans at a faster rate.

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Who wants to help with 7th grade math? 10 points (i put in 20 points)

Answers

Answer:

2 apples = .24 kilograms

12 apples = 1.44 kilograms

Step-by-step explanation:

If 5 apples all weigh The same amount. Let x represent one apples weight

5x = 0.60

divide by 5

one apple weighs .12 kilograms

then multiply by the number of apples. So 2 apples is .24

and 12 apples is 1.44

please help me out....​

Answers

Answer:

It is the first one, so

7u + 5v

Answer:

7u+5v (A)

Step-by-step explanation:

3u+4u=7u

7v-2v=5v

7u+5v

PLS GIVE BRAINLIEST

Help!! I will mark brainiest!!

Answers

Answer:

b = 148.5052112

Step-by-step explanation:

To find the value of b we will use the trigonometry functions

∵ The triangle is a right triangle

∵ The measure of one of its acute angles = 68°

∵ The length of the side opposite to the angle of measure 68° is b

∴ The opposite side = b

∵ The length of the side adjacent to the angle of measure 68° is 60

∴ The adjacent side = 60

∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]

∴ tan(68°) = [tex]\frac{b}{60}[/tex]

→ Multiply both sides by 60 to cancel the denominator of the right side

∴ 60 × tan(68°) = b

∴ 148.5052112 = b

b = 148.5052112

Answer:

b = 148.5052112

Step-by-step explanation:

Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?

Answers

Answer: The answer is 27

Given:

Mr. Roberts will drive 56 milesHe has 29 more miles to go

We will:

Subtract the total distance he plants to travel by the amount he has left.

Equation: [tex]\mathrm {56 - 29 = 27}[/tex]

Our answer is 27. Best of Luck!

The football team has a total of 20 jerseys. There are 8 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

40%

Step-by-step explanation:

:)

why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1

Answers

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1

Half of the difference between -5 and three times a number is -13.
translate into an algebraic expression.

Answers

the answer is: -13=(-5-3x)/2

QUICK I REALLY NEED HELP

When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answers

Answer:

-5

Step-by-step explanation: Yeah i think its -5

What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)

Answers

Answer:

17

Step-by-step explanation:

24x+24=27x-27

51=3x

x=17

Find the slope of the line passing through the points (6, 1) and (6,-6).

Answers

Answer:

Slope = undefined

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(6, 1)

(6, -6)

1 - (-6)/6 - 6= 7/0

Slope = undefined

For reference:

0/x = 0

x/0 = undefined

Hope this helps!

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