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2 years ago

How could a quadrilateral be a parrallelogram

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

4 0

Answer: i don't know the answer but im going to list conjectures of what make a parallelogram a parallelogram

Step-by-step explanation:

Parallelogram opposite angles conjecture: Opposite sides of a parallelogram are congruent.

Parallel opposite sides conjecture: opposite sides of a parallelogram are congruent.

Parallelogram diagonals conjecture: the diagonals of a parallelogram bisect each other

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Give an example of a function f : N → N that is surjective but not injective. You must explain why your example is surjective an

Helen [10]

Answer:

Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.

Step-by-step explanation:

First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.

However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.

Note:

If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.

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2 years ago

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Answer:

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OleMash [197]

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2 years ago

The dot plots show rainfall total for several spring storms in highlands areas an lowlands areas what is the median rainfall for

tankabanditka [31]

*See attached picture showing the dot plots referred to

Answer:

16mm

Step-by-step Explanation:

Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.

Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.

From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.

Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.

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Answer: 75% 45/60 is .75 witch is 75%

Step-by-step explanation:

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