The slope for is JK 1/3 , the slope of LK is -2 , the slope of ML is 2/5 , and the slope of MJ is 3/2 . Quadrilateral JKLM is not a parallelogram because neither pair of opposite sides is parallel
Further explanation:
Given vertices are:
J(−4, 1) , K(2, 3) , L(5, -3) , and M(0, −5) .
We have to find the slopes before concluding any result
The formula for slope is:

So:
<u>Slope of JK:</u>

<u>Slope of LK:</u>

<u>Slope of ML:</u>

<u>Slope of MJ:</u>

As the slopes of all sides are different, the given quadrilateral is not a parallelogram because in order for the quadrilateral to be a parallelogram the opposite sides have to be parallel i.e. have equal slopes and there are no sides with equal slopes.
Keywords: Parallelogram, Quadrilateral
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Let the length of the shortest side = x
The two longer sides that are equal = 3x
The are two equal longer sides, so their total is 3x + 3x = 6x
3x+ 3x + x= 35 Collect like terms on the left
7x = 35 Divide by 7 on both sides
x = 35/7
x = 5
Answer
Two long sides -- 15 cm each
Shortest side -- 5 cm
Answer:
I) There are
hours in 1 year.
II) The exact number of hours in one year is
hours.
Step-by-step explanation:
Given : 1 hour=3600 seconds
1 year = 31556952 seconds.
To find :
I) Use scientific notation to estimate the number of hours in one year.
1 day = 24 hours
1 year = 365 days
So, number of hours in one year is given by,

In scientific notation,

So, there are
hours in 1 year.
II) 1 year = 31556952 seconds.
1 hour = 3600 seconds
In one year the number of hour is given by,


In scientific notation,

So, the exact number of hours in one year is
hours.
III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.
- The exact numbers of hours using 365 days is 8760 which is written as
in scientific notation but using the given data we get
hours.
- Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
- If we round these we get
hours which has two significant numbers.
wind is predicted for 9 of the days.
rain is predicted for 18 of the days.
cloudiness if predicted for 27 of the days.
sunshine of predicted for 36 of the days.