Use desmos:
This is the piece wise graph
Answer:
This is called a mid segment theorem in which the al ine segment (DE) joining the midpoints of two sides of a triangle is parallel to the third side.
Step-by-step explanation:
Suppose we have a triangle ABC. Then the midpoints can be located as D, E and F. If we join D , E and F another triangle is formed.
From the figure we can see that
AE≅ CE
AD≅DB
BF≅CF
BECAUSE all the given points are the midpoints which divide the lines into two equal halves.
If we increase the line DE to a point L we find out that DL is parallel to BC i.e. it does not meet at any point with BC. ( the two lines do not meet)
(1)
If we join C with L we find out that the the line DE is half in length to the line BC.
AS
AE= CE (midpoints dividing into equal line segements.)
LE= DE
Triangle CEL= Triangle DEF
so
DL= BC
But DE = 1/2 DL
therefore
DE= 1/2 BC (2)
Therefore from 1 and 2 we find that a line segment (DE) joining the midpoints of two sides of a triangle is parallel to the third side
Answer:
4. A survey asking 75 people if they like the new school building
Step-by-step explanation:
A binomial experiment consist of n trials but for every trial there are only two possible outcomes.
1. A survey asking 75 people to name their favorite color
There can be more than two answers to the given question so it is not a binomial experiment.
2. A survey asking 75 people to give their age
The age can be any integer which makes the outcomes more than two so this is also not a binomial experiment.
3. A survey asking 75 people whom they voted for in the election
This is also not a binomial experiment as there can be more than two answers to the question
4. A survey asking 75 people if they like the new school building
The given question can only be answered in yes or no which means only two possible outcomes so this is a binomial experiment ..
Answer:
D 6
Step-by-step explanation:
4/1 / 8/12
4/1 * 12/8
48 / 8 = 6
Answer:
125 blue vehicles
Step-by-step explanation:
In this question, we are going to estimate the number of vehicles of a specific color given that there are some numbers of both vehicle models present in a sample.
Now to solve this question, we are going to treat the sample numbers as a ratio.
The ratio here is thus 7 black to 5 blue I.e 7:5
We have 300 vehicles, we now want to estimate the number of blue vehicles present.
From the sample ratio, there are a total of 12 vehicles
Now the total number of blue vehicles would be 5/12 * 300 = 125
There are 125 blue vehicles