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zmey [24]
2 years ago
6

Carla and Jonah are working together to determine if quadrilateral CDEF with coordinates C(2, 3), D(1, 2), E(4, 1), and F(5, 3)

has perpendicular sides.
Carla sets up the following equations:
m^cd = 2-3/1-2
m^de = 1-2/4-1

Jonah sets up the following equations:
m^cd = 2-3/1-2
m^ef = 3-1/5-4

Who is on track to get the correct answer, and why?
A. Carla is on the right track because she is finding the slopes of consecutive sides to check for perpendicular sides.
B. Carla is on the right track because she is finding the slopes of the opposite sides to check for perpendicular sides.
C. Jonah is on the right track because he is finding the slopes of the opposite sides to check for perpendicular sides.
D. Jonah is on the right track because he is finding the slopes of consecutive sides to check for perpendicular sides.
Mathematics
1 answer:
mart [117]2 years ago
4 0

Answer:

  A. Carla is on the right track because she is finding the slopes of consecutive sides to check for perpendicular sides.

Step-by-step explanation:

Only adjacent sides can be perpendicular, so Jonah's approach of finding slopes of opposite sides cannot work.

Carla is on the right track; choice A.

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Rena is building a 1:1801:1801, colon, 180 scale model of a real castle. Her model has a rectangular base that is 333 feet wide
liubo4ka [24]

Answer:

388,800 ft^2.

Step-by-step explanation:

Scale = 1 : 180

Actual length, Ls = 180 × 4

= 720 ft

Actual width, Bs = 180 × 3

= 540 ft

Area of a rectangle = Ls × Bs

= 540 × 720

= 388,800 ft^2.

7 0
2 years ago
Harper has $15.00 to spend at her grocery store. She is going to buy bags of fruit that cost $4.75 each and one box of crackers
Andrej [43]
First write the inequality:    15\leq4.75x +3.50

Then to solve, first subtract 3.50 from both sides to get:

11.50\leq4.75x

Then divide by 4.75 to get 2.42, and since you can't buy .42 of a bag  of fruit, you round down. So your final answer would be 2 bags of fruit.
7 0
2 years ago
Read 2 more answers
Jodi is cutting out pieces of paper that measure 8 1/2 inches by 11 inches from a larger sheet of paper that has an area of 1000
attashe74 [19]
10 diffhhjjjkfdffyiihgfgghjjhggghh
3 0
2 years ago
 consider the figures below which of the following statements are true given angle S is congruent to angle J and angle N is con
Vsevolod [243]

Answer:

A C D E F

Step-by-step explanation:

Might be wrong

7 0
2 years ago
The pucks used by the National Hockey League for ice hockey must weigh between and ounces. Suppose the weights of pucks produced
Dahasolnce [82]

Answer:

P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

P(-2.769

Step-by-step explanation:

For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places. "

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.86,0.13)  

Where \mu=5.86 and \sigma=0.13

We are interested on this probability

P(5.5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

P(-2.769

4 0
2 years ago
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