Answer:
(-1, 2) and (-1, 3.5)
Step-by-step explanation:
The triangle ΔDEF spans 4 squares horizontally.
So, the midsegment of ΔDEF will coincide with the line 4/2 = 2 squares from the vertex F.
Note that the <em>x </em>coordinate of the vertex F is -3 and 2 units to the right of F is -1.
Therefore, the midsegment of ΔDEF coincides with the line <em>x</em> = -1.
So, the <em>x</em> coordinates of the end points of the midsegment are -1.
Let's find the <em>y</em> coordinates of the end points.
From the given figure, it is clear that the mid point of FD is half way between 3 and 4 and hence it is 3.5.
Mid point of FE is 2.
So, the co-ordinates of the end points of the midsegment are (-1, 2) and (-1, 3.5).
Answer:
60
Step-by-step explanation:
2x+5+x-5=180
add the common things
3x=180
divide stuff
x=60
Answer:

And using the normal standard distribution table or excel we got:

The excel code would be:
"=NORM.DIST(1.38,0,1,TRUE) -=NORM.DIST(0,0,1,TRUE)"
Step-by-step explanation:
For this case we know that our random variable of interest is Z and the distribution is given by:

This distribution is an special case of the normal distribution.
And we want to find this probability:

And we can find this probability with this difference and using the concept of cumulative distribution function for a continuous distribution:

And using the normal standard distribution table or excel we got:

The excel code would be:
"=NORM.DIST(1.38,0,1,TRUE) -=NORM.DIST(0,0,1,TRUE)"
Answer:
Hey there!
There are a total of 20 children, and 2+6, or 8 are girls.
Thus the probability of choosing a girl is 8/20, or 2/5.
There are 2 left handed girls, so the probability is 2/20, or 1/10.
Hope this helps :)
answer: 50°
If triangle is isosceles than L and J are same angles
3x + 20 = 4x + 10
3x-4x=10-20
-x = -10 (divide both sides by -1)
x=10
angle L=J = 3*10+20= 50
we can calculate it like this too 4*10 +10= 50