22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).

help is appreciated !!!

Answers

Answer 1

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints  D(c, -7) and E(5, -3).

Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

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

We have:

[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]

Putting values and finding c

[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]

So, If the lines BC and DE are parallel, the value of c is c=-2


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Answer:

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Step-by-step explanation:

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Answer:

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ASAP DUE TODAY BY 9:05

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Answer:covert - 2/3 to -4/6. Then after you do the math...you get -9/6....simplify that to -3/2e=-27. You then multiply -27 by the reciprocal -2/3 and the answer is 18.

Step-by-step explanation:

Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be
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800-8 100
O 35--8" 4.375
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

5(3x + 8)

Use the distributive property and multiply 5 by 3x and 8

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How many solutions does this equation have?

7h - 7h = 0

Answers

Answer:

Infinite

Step-by-step explanation:

7h-7h=0

We add all the numbers together, and all the variables

=0

h=0/1

h=0

What is the image of (-9,6) after a dilation by a scale factor of 44 centered at the origin?

Answers

Answer:

(- 396, 264 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply each of the coordinates of the point by the scale factor, that is

(- 9, 6 ) → ( (- 9 × 44 ), (6 × 44 ) ) = ( - 396, 264 )

There are 12 inches in a foot in april mrs Harris used 32 feet of ribbon for an art club in may she used 45 feet of ribbon how many more inches of ribbon did mrs Harris use in may than April

Answers

Answer: 156 inches

Step-by-step explanation:

12 inches = 1 foot

In April, Ms Harris used 32 feet of ribbon for an art club. We will convert this to inches. This will b e:

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= 384 inches

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= 540 inches

We now calculate the difference in inches. This will be:

= 540 - 384 inches

= 156 inches

1 point
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Answers

300 = 5t + 150
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The answer elevation /_angle B /_ V

Answer:

Step-by-step explanation:

∠4 is angle of elevation from ∠C to ∠D

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Answer: y = 1/2x - 5.5

Try the same thing for the second question

Your should get

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Answers

Answer: y=-x+5 and y=-14 [tex]2x+2y=10 subtract 2x from both sides\\2x+2y-2x=10-2x \\2y=10-2x divide both sides by 2\\y=5-x rewriting using the commutative property\\y=-x+5[/tex]

Step-by-step explanation:

Slope Intercept form is y=mx+b

Equation A:

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Answers

Answer: 0.85 kilograms

Step-by-step explanation:

The answer is 0.84 kilograms

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Answers

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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.

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Quadrilateral A B C D is reflected over line y to form quadrilateral T U R S.

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Answers

Answer:

7in

Step-by-step explanation:

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(I searched it up)

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A quadrilateral is a shape with four sides, four vertices, and four angles that is only two dimensional. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Given that,

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Answers

Answer:

Step-by-step explanation:

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I hope it is helpful for you ...

The greatest common factor of the whole numbers 56 and 16 will be 8.

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The numbers are given below.

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Answers

Answer:

start with the prostheses first and the -3 and -10 together us

Step-by-step explanation:

Please

excuse

my

dear

ant

sally

Answer:

-26

Step-by-step explanation:

4×2×(-3)+(-10)÷5​

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Answer:

8.7714

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

[tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

Step-by-step explanation:

Use the form: [tex]\sqrt{(x^2-x^1)+(y2-y1)^2[/tex]

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By the distance formula,

[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]

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[tex]y_1 = 6[/tex]

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Answers

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Answers

Answer:

=-8x^3

Step-by-step explanation:

=2x^-1×4x^2

=-2x×4x^2

=-8x^3

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2x to the power of negative 1 is represented as follows

(2x)⁻¹

The value((2x)⁻¹) multiplied by 4x squared is represented as follows

(2x)⁻¹ × (4x)²

Therefore,

(2x)⁻¹ × (4x)²  = (2x)⁻¹ × 16x²

(2x)⁻¹ × 16x²  = [tex]\frac{1}{2x}[/tex] × 16x²

[tex]\frac{1}{2x}[/tex] × 16x²  = 8x

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62
64
()

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Answer: its 62

Step-by-step explanation:

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Answer:

47 DEGREES

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AOB + BOC = 180 (STRAIGHT LINE)

THEREFORE

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x = 3

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6x + 29

(6*3) +29

18 + 29

47 DEGREES = BOC

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