Match the following reasons to the statements given. Given: A B E F is a parallelogram E B | | D C Prove: A C D F is a parallelogram. 1. A B E F is a parallelogram, E B||D C Definition of parallelogram 2. A F||B E, F E||A B Opposite sides of a parallelogram are || 3. A F||C D Transitive 4. F D||A C Given 5. A C D F is a parallelogram. Part of lines F E and A B

Answer:

42

Step-by-step explanation:

6 to the second power is 36+6 is 42.

Answer:

Step-by-step explanation:

y2- y1/x2-x1

-1-5/6-2

-6/8

The required slope of AB is -3/4 which passes through points  A(-2, 5) and B(6.-1).

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Assume two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

To determine the slope of AB: A(-2, 5) and B(6.-1)

Given,

We have been given that two points are A(-2, 5) and B(6.-1)

Let

x₁ = -2, y₁ = 5

x₂ = 6, y₂ = -1

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

The slope of AB = (-1 - 5)/(6 - (-2))

The slope of AB = (-6)/(6 + 2)

The slope of AB = -6/8

Therefore, the required slope of AB is -3/4.

Learn more about the Slope of the Line here:

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Answer:

-7/6

Step-by-step explanation:

- take two values of x and their corresponding two values of y

- use the slope formula ( y2 - y1 )/( x2 - x1 )

- i used x values 4 and 10 but you can use any

( -6 - (-13) ) / ( 4 - 10 ) = -7/6

Answer:

The number of minutes is 10minutes

Step-by-step explanation:

  Step one:

Given that the first minute of a call cost $2.30 and

each additional minute is $0.20.

let the number of minutes be x

and the total cost be y

the total cost  for the situation is modeled as

y=mx+c-----equation of a line

   Step two:

given that y=4.3, we can solve for the totals cost as

by substituting we have

4.3=0.2x+2.3

4.3-2.3=0.2x

2=0.2x

x=2/0.2

x=10

The number of minutes is 10minutes

Answer: $9.75.

Step-by-step explanation:

Given: Cost per stamp  = 39 cents

since 1 dollar = 100 cent , so 1 cent = 0.01 dollar

So,  Cost per stamp  = $0.39

Total stamps = 25

Cost of 25 stamps = (Cost per stamp)  x (Cost per stamp)

=$0.39 x 25

= $9.75

Hence, the price  for the sheet of stamps = $9.75.

Answer:

39

Step-by-step explanation:

4 cubed is 64 and 64-25 is 39

Answer:

I believe the answer is b

Step-by-step explanation:

I might be wrong

Answer:

A. -1

Step-by-step explanation:

ΔY/ΔX= 1/-1 =-1

Answer:

No, I believe the solution is (2/3, 11/3)

Step-by-step explanation:

Answer:

12. Dragon

Step-by-step explanation:

The unicorn has 40 votes and 40 x 4 is 160, which is how many votes the dragon has

Answer:

Step-by-step explanation:

Putting values

2[8(2(3)+ 3(1)]

2(8(9)

2(72)

144

Answer:

3*2+x=2

6+x=2

subtract 6 on both sides

x= -4

Step-by-step explanation:

Answer:

B and D since the table tells that the answers B and D are correct

Answer:

B. There is a y-intercept at (0,-2)

Step-by-step explanation:

I did what the other answer said, but apparently the only right answer in your case is B.

Answer:

A

Step-by-step explanation:

-7-(3)/4-(-1)=-10/5 which is -2

Use the slope formula y2-y1/x2-x1 to solve

Answer:

35.8

Step-by-step explanation:

                [tex]\frac{340.1}{9.5}[/tex]  = 358

 We know that our answer can never be greater than 358 since the dividend

is 340.1 and the divisor is 9.5;

  Also,

  Both values are to one decimal places and we can use this to solve the problem;

  9 can divide 340 in about 37 place with a remainder of 7,

    So, it is appropriate to make the solution 35.8

Answer:

-3/2

Step-by-step explanation:

Visualize it or write it out.

Answer:

I THINK ITS 61

Step-by-step explanation:

Given:

A rocket is 1.5 miles above the earth in 20 seconds.

It is 8 miles above the earth in 2 minutes.

To find:

The rockets rate of change in miles per seconds.

Solution:

Let y be the height above the earth after x seconds.

A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).

It is 8 miles above the earth in 2 minutes.

1 minute = 60 seconds

2 minutes = 120 seconds

So, the point is (120,8).

The rockets rate of change in miles per seconds is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{8-1.5}{120-20}[/tex]

[tex]m=\dfrac{6.5}{100}[/tex]

[tex]m=0.065[/tex]

Therefore, the rockets rate of change is 0.065 miles per seconds .

Answer:

$170

Step-by-step explanation:

15 percent of 200 is 30 and 30 minus 200 would be 170

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer:

[tex]\Delta=144[/tex]

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

[tex]\Delta=b^2-4ac[/tex]

We have the equation:

[tex]4x^2-8x-5=0[/tex]

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

[tex]\Delta=(-8)^2-4(4)(-5)[/tex]

Evaluate:

[tex]\Delta=64+80[/tex]

Add:

[tex]\Delta=144[/tex]

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.

Answer:

slope should be 3

Step-by-step explanation:

i used my calculator

Answer:

32

Step-by-step explanation:

54 = 2(C-5)

27 = C-5

32 = C

Answer:

a,bcb,a

Step-by-step explanation:

Answer:10$

Step-by-step explanation:37.50 - 7.50 = 30.00

Answer:

I believe the slope is 1

Step-by-step explanation:

Answer:

The slope is 1

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-4)-5/(-7)-2

m=-9/-9

m= 1

Answer:

540

Step-by-step explanation:

Answer:

what is the question?...

Answer:

a=4.8

Step-by-step explanation:

may be wrong tho

Answer: y=8 and x=8[tex]\sqrt{3}[/tex]

Use the normal 30 60 90 triangle to get y as 16/2, or 8 and x as 16*sqrt3, or