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7nadin3 [17]
3 years ago
11

How much does he weigh?

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
He weighs about 200 lb.
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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
2 years ago
Read 2 more answers
7. Which model shows two equal expressions when the value of x is 4?
Zigmanuir [339]

Answer:

If your problem looks like this (in the picture) then the answer is D.

Step-by-step explanation:

Hope this helps and is the question and answer your looking for!?

7 0
3 years ago
If you answer this your littearly a pro hacker pls help ​
gladu [14]

Answer:

6 times 3 times 4

18 times 4

= 72

Step-by-step explanation:

hope this helps good luck

6 0
2 years ago
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Christine bought 4 CDs that were each the same price. Including sales tax, she paid a total of $54.40. Each CD had a tax of $1.3
Basile [38]

Answer:

12.30

Step-by-step explanation:

1.30x4=5.20

54.40-5.20=49.20

49.20/4= 12.30

7 0
3 years ago
The price of a car has been reduced from $14,000 to $8,400. What is the percentage decrease of the price of the car?
Lady bird [3.3K]

Answer: 40%

Step-by-step explanation:

If you divide 8400 by 14000. You will see that $8400 is 60% (.60 in the calculator) you need to subtract that from 100 to find the discount. 100-60= 40

3 0
3 years ago
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