Answer:
Step-by-step explanation:
As per midsegment theorem of a trapezoid,
Segment joining the midpoints of the legs of the of the trapezoid is parallel to the bases and measure half of their sum.
Length of midsegment = 
3). MN = 
= 14
4). MN = 
= 66.5
5). MN = 
7 = 
14 = AB + 10
AB = 14 - 10
AB = 4
6). 15 = ![\frac{1}{2}[(3x+2)+(2x-2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%283x%2B2%29%2B%282x-2%29%5D)
30 = 5x
x = 6
I found the dot plots that accompanies this problem.
Based on the plots, the <span>statement that gives is a valid comparison of the number of candies in the bags of the two Brands is:
</span><span>B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.
Dots in Brand B are scattered and whereas dots in Brand A are not and they are more concentrated between 52 to 55 range. </span>
Slope (y2-y1)/(x2-x1)
(-3-9)/(15-19) = -12/-4 = 3
The slope is 3
Answer:
second option
Step-by-step explanation:
Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse, the line opposite of the 90 degree angle.
a and b are the other 2 sides.
the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.
so, we have (-2, -3) and (3, 2)
distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =
= (-5)² + (-5)² = 25 + 25 = 2×25 = 50
distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)
System of Equations:
{-2x+2
{-1/3x-3
I used y=mx+b to find the equations
