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Archy [21]
3 years ago
6

ABCD is a rectangle on a coordinate grid with side AB parallel to side CD and side BC parallel to side AD. If the slope of side

AB is 2/7, what is the slope of side BC?
Mathematics
2 answers:
fiasKO [112]3 years ago
8 0

Answer:

<h2>The slope of BC is -7/2.</h2>

Step-by-step explanation:

<h3>Givens</h3>

ABCD is a rectangle.

AB \parallel CD

BC \parallel AD.

m_{AB} =\frac{2}{7}

We know that AB \perp BC and CD \perp AD, by definition of rectangle.

Additionally, m_{AB} \times m_{BC}=-1, by condition of perpendicularity.

Replacing, we have

\frac{2}{7}  \times m_{BC}=-1\\ m_{BC}=-\frac{7}{2}

Therefore, the slope of BC is -7/2.

sashaice [31]3 years ago
4 0
The answer would be 2/7
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Free_Kalibri [48]

Answer:

x = -4/11

Step-by-step explanation:

add the x values.

11x+8=4

subtract 8 from each sides

11x=-4

divide by 11

x=-4/11

8 0
2 years ago
What is the area of this quadrilateral
sammy [17]

Answer:

C

Step-by-step explanation:

First, let's work out the two triangles:

Area of triangle: bxh/2

2 x 8/2 = 8

Because there is two triangles multiply 8 by 2 = 16

To work out the area of the central rectangle:

Area of rectangle: l x w

3 x 8 = 24

Add 16+24 = 40 square feet

4 0
2 years ago
can some one also please help my one that i should do after i finds the area of the square aka how to find the area of the trian
Andre45 [30]

Answer:

6 square units

Step-by-step explanation:

Given shape is of a trapezoid:

area \: of \: trapezoid  \\ =  \frac{1}{2}  \times (4 + 2) \times 2 \\  \\  = 6 \:  {units}^{2}

Area of shape = area of square + area of triangle

= 2^2 + \frac{1}{2} \times 2\times 2\\= 4 + 2\\= 6\: units^2 \\

4 0
3 years ago
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti
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Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6.

4 0
3 years ago
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marusya05 [52]
I believe the answer is b.
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3 years ago
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