Answer:
See proof below
Step-by-step explanation:
Consider triangle with midpoints D, E, F of the sides BC, AC and AB, respectively. If D, E and F are midpoints of the sides BC, AC and AB, then
Triangle ABC is equilateral triangle, then
- m∠ABC=m∠ACB=m∠BAC=60°;
- AB=BC=AC.
If AB=BC=AC, then EA=CE=FA=BF=DC=DB.
By SAS theorem, ΔFAE≅ΔDCE≅ΔEBD.
Congruent triangles have congruent corresponding sides, then
EF=FD=DE. This means that triangle DEF is equilateral.
Part A: Charlie's answer is incorrect
In step 2 of Charlie's answer he subtracted 5 from each side. Since 5x is multiplication, he must DIVIDE each side by 5 to get x by itself. The problem should have worked out like this...
Step 1: 5x = 30
Step 2: x = 30/5
Step 3: x = 6
Part B: There is only 1 solution for this problem.
a) The point (140, 57) lies furthest from the rest of the data, therefore making it an outlier.
b) Since the points are all going in somewhat of a positive diagonal direction, there is a positive correlation.
c) We can estimate that the new student weighs approximately 155 kg.
John is correct because 0.5 is equal to one half and multiplying something by its half is just same as dividing something in two and half of 1.4 is 0.5
(sorry if it's too long feel free to shorten it)
Answer:
24 is the largest fraction fell by 12 to 19
