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3 years ago

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Cheryl uses the graph below to convert x, a measurement give to y, the equivalent measurement in another unit. Which of the foll

owing conversations does the graph best represent?

1 answer:

Salsk061 [2.6K]3 years ago

4 0

Where's the graph? If you can give me the graph then I'd be able to answer for you.

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Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

1 year ago

Read 2 more answers

One hundred times the quantity six plus five

Andru [333]

100 times (6+5)
100 times 11
100 groups of 11=1100
Hope I helped:)

3 0

3 years ago

Read 2 more answers

A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanut

Dvinal [7]

Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the revenue

Step-by-step explanation:

Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the revenue.

The nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound.

In order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that

4x + (1.5 × 60) = 2.5(60 + x)

4x + 90 = 150 + 2.5x

4x - 2.5x = 150 - 90

1.5x = 60

x = 60/1.5

x = 40

5 0

3 years ago

-2log5 7x=2<br><br> the 5 is small please help me

RSB [31]

-2log_5 7x = log_5 2

log_5[1/(7x)^2] = log_5 2

log_5(1/49x^2) = log_5 2

log_5(1 - 49x^2) = log_5 2

1 - 49x^2 = 2

You finish.

3 0

2 years ago

HELP QUITCKLY <br> combine like terms to create an equivalent expression to 8(8+7J+8).

Zinaida [17]

Answer: 56j + 128

Step-by-step explanation:

3 0

2 years ago

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