Answer:
see below
Step-by-step explanation:
To find the coordinates of the midpoints, add the x's and divide by 2 and add the y's and divide by 2.
The coordinates of D, the midpoint of AB, (1+3)/2 will be the x-coordinate and (4+0)/2 will be the y-coordinate.
D (2,2)
You could also see this on a graph, see image.
E, the midpoint of AC has the x-coordinate (1+-3)/2, which is -1 and y-coordinate (4+-2)/2 which is 1.
E is (-1,1)
Then we are able to calculate the slope of DE and BC.
To calculate slope, subtract the y's and put that on top of a fraction and subtract x's and put that on the bottom of a fraction. If the slopes are the same the segment are parallel.
Slope of DE:
(2-1)/(2--1)
= 1/3
Slope of BC:
(0--2)/(3--3)
=2/6
=1/3
The slopes of BC and DE are equal, so the segments are parallel.
(Alternatively, you could show that Triangle ABC and Triangle ADE are similar. Then find the segments parallel because corresponding angles are congruent.)
Answer:
A. |x|=9 D. -|-x|=-9 F. |-x|=9
Step-by-step explanation:
a. |9|=9
D. -|9| = -9
F. 9=9
Answer:
In basic terms, a population is the total number of individuals, animals, items, observation, data, etc. So the sample, in other words, is a portion, part, or fraction of the whole group, and acts as a subset of the population. Samples are used in a variety of settings where research is conducted.
Answer:
A = 179.4units²
Step-by-step explanation:
To find the surface area of a square pyramid use this formula
A = a² + 2a√
+ h²
So plug in your numbers
- A = 8² + 2 × 8 ×√
+ 6² ≅ 179.37764 - Round to the nearest tenth
A = 179.4units²