Please help me ASAP!! And please don’t just answer randomly for points..thanks

The proof that shows that AB∥CD in the diagram given is:

1. E is the midpoint of AD --> Given

2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint

3. E is the midpoint of BC --> Given

4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint

5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem

6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem

7. AB∥CD ---> CPCTC Theorem.

The given figure showing ΔABE ≅ ΔDCE is in the image attached below.

We know that:

E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.

E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.

∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.

This means that ΔAEB and ΔDEC have:

two pairs of congruent sides - AE ≅ ED and BE ≅ EC

one pair of congruent included side -  ∠AEB ≅ ∠CED

Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.

If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.

Therefore, AB∥CD by the CPCTC Theorem.

Thus, the proof that shows that AB∥CD in the diagram given is:

1. E is the midpoint of AD --> Given

2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint

3. E is the midpoint of BC --> Given

4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint

5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem

6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem

7. AB∥CD ---> CPCTC Theorem.

Learn more about the CPCTC Theorem on:

https://brainly.com/question/14706064

Answer:

y = -5 + 2

Step-by-step explanation:

    We can use change in y over change in x to find slope:

[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]

So, our slope (aka m) is -5.

    For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b

y = -5x + b

-8 = -5(2) + b

-8 = -10 + b

2 = b

    And there is our equation,

y = -5 + 2

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

B

Step-by-step explanation:

You can find the nth term of the arithmetic sequence calculator to find the common difference of the arithmetic sequence. The approach of those arithmetic calculator may differ along with their UI but the concepts and the formula remains the same. You need to find out the best arithmetic sequence solver having good speed and accurate results.

Answer:

iaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

4 hours

Step-by-step explanation:

1 hour x 3 = 3 hours

So Brian spent 3 hours assembling and painting the plane

However the question asks for the total time, so we would do:

1 hour + 3 hours to get 4 hours

So in total, Brian spent 4 hours carving, assembling and painting the plane

Hope this makes sense.

Answer:

A. 20%

Step-by-step explanation:

% Increase = 12−10/10x100

= 2/10x100

= 20%

Mark me as brilliant

Answer:

$3

if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.

2 is the answer!!

a.9v3-4v3+v5+2v5

=5v3+v3+2v5

=5v3+3v5

b.10v2+4v2+6v2

=4v2+4v7

Answer:

-31/6, -/26, -5, -5/6

first choice is the answer

Answer:

8c + 6 = 3     

Step-by-step explanation:

six more than the product of a number and 8 is 3  

the product of 8 and c is 8•c, which can also be written as 8c. 6 more than that means you are adding 6, and getting 3... so your equation is,   

8c + 6 = 3     

hope this helped!

mark me brainliest :D

Answer:

The slope is 10

The y - intercept is 20

Step-by-step explanation:

The equations are written as:

y = ?x + ?

The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10

The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept

Answer:

if we let admission fee per child to be a and the rental fee for the skates  to be s.

Then john 6a + 5s =32

Juanita     7a + 5s = 35.25

Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.

        6a + 5s = 32

        7a + 5s = 35.25

we get -a + 0s = -3.25     therefore a= 3.25

Then we can solve for s by substituting a in either of the two equations

 6 (3.25) + 5s =32

 19.5 + 5s =32

            5s = 12.5

               s = 12.5/5

               s = 2.5

Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.

Step-by-step explanation:

Answer:

T = 4/5

Step-by-step explanation:

t/4 = 1/5

x4    x4

t = 4/5

Hope this works.

Answer:

4/5

Step-by-step explanation:

t/4 = 1/5

5t = 4

t = 4/5

yeah-ya.... right?

Answer:

N=0.019666a-0.983284 or

A = 50.85n + 50

Step-by-step explanation:

Let's solve for n.

a = 50 + 50.85n

Step 1: Flip the equation.

50.85n + 50 = a

Step 2: Add -50 to both sides.

50.85n+50+-50=a+-50

50.85n n = a - 50

Step 3: Divide both sides by 50.85.

50.85n

50.85

=

a-50

50.85

n=0.019666a-0.983284

Let's solve for a.

a = 50 + 50.85n

Answer:

4/n subtracted by 6 or the third option

Step-by-step explanation:

Answer:

3 / 4

Step-by-step explanation:

9 = 3 x 3

12 = 3 x 4

9 / 12

= ( 3 x 3 ) / ( 3 x 4 )

= 3 / 4

Answer:

3/4

Step-by-step explanation:

9= 3×3

12= 3×4

9/12

= (3×3) / (3×4)

= 3/4

Answer:

14x-21=14x +7

x cancels all out which leaves with just

28

Answer:

There is no x that satisfies the condition.

Step-by-step explanation:

7(2x - 3) = 14x + 7

14x - 21 = 14x + 7

-21 = 7

contradiction

Answer:

A=464

B=93

Step-by-step explanation:

A+B=557

A-B=371

Solving the two equations simultaneously gives A=464 and B=93

Answer:

- x - 16

Step-by-step explanation:

Answer:

the answer is x = 4.

1. use the quadratic formula.

2. use a coordinate plane to check your answer.

hope this helps.

Answer:

x = 4

Step-by-step explanation:

(x - 3)(x² + 3x + 9) = 37 ← distribute left side

x³ + 3x² + 9x - 3x² - 9x - 27 = 37 , simplify left side by collecting like terms

x³ - 27 = 37 ( add 27 to both sides )

x³ = 64 ( take cube root of both sides )

x = [tex]\sqrt[3]{64}[/tex] = 4

Answer:

iro 50*.6 gives us 30 miles

andkalini drives 65 for .5 65*.5= 32.5 miles

so kalini drove further

Answer:they are only 2

Step-by-step explanation:

3/5 + 3/5 = 6/10 so you need a 6/5 + 3/5 and it will equal 9/10

Answer:

1

Step-by-step explanation:

3/5's = 6/10 and 6/10 plus 6/10 would be 12/10 so only 1 3/5's can fit.

Answer:

D.

Step-by-step explanation:

An excluded value often comes from a zero in the denominator.

Set each denominator equal to zero creating an equation in x. If there is a solution to the equation, then there are excluded values. If the equation has no solution, then there are no excluded values.

A.

2x^2 = 0

x = 0

excluded value

B.

3x + 3 = 0

3x = -3

x = -1

excluded value

C.

x² - 7 = 0

x² = 7

x = √7 or x = -√7

excluded values

D.

-x² - 5 = 0

x² = -5

x = √(-5) or x = -√(-5)

There is no real solution for x.

no excluded values

Answer: D

Answer:

{x | x R, x > 3}

Step-by-step explanation:

x - 5 > -2

Add 5 to each side

x - 5+5 > -2+5

x> 3

6 soaps comparing to the other 5 = 30 different comparisons:

30 x 2,000 = 60,000

Answer: H. $60,000

ok I don't see the thing you need help with

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