<span>Given: ΔABC
When written in the correct order, the two-column proof below describes
the statements and justifications for proving the three medians of a
triangle all intersect in one point are as follows:
Statements Justifications
Point F
is a midpoint of Line segment AB </span><span>by Construction
Point E is a midpoint of Line segment
AC
Draw Line segment BE
Draw Line segment FC
Point G is
the point of intersection between
Line segment BE and Line segment FC Intersecting Lines Postulate
Draw Line segment AG by Construction
Point D
is the point of intersection between
Line segment AG and Line segment
BC Intersecting Lines Postulate
Point H lies on Line segment AG such
that
Line segment AG ≅ Line segment GH by Construction
</span><span>Line segment FG is parallel to line segment
BH and Line
segment GE is parallel to line
segment HC Midsegment Theorem
</span><span><span>Line
segment GC is parallel to line segment
BH and Line segment BG is
parallel to
line segment HC Substitution</span>
</span>BGCH is a <span><span><span><span>Properties of a Parallelogram </span>parallelogram (opposite sides are parallel)</span>
</span>Line segment BD
≅ Line segment </span><span><span>Properties of a Parallelogram </span>DC (diagonals bisect each
other)
Line segment
AD is a median Definition of a Median</span>
Thus the most logical order of statements and justifications is: II, III, IV, I
Answer:
1) $343
2) $40
Step-by-step explanation:
1) Kathy paid (100 - 30)% of 490
so we can multiply 490 by 70%
490 x .7 = 343
2) let 'x' = original price
if she's saving 10% (or .10) then she's paying 90% (or .90)
.9x = 36
x = 36/.9
x = 40
Answer:
the answer is 15 minutes
Step-by-step explanation: It would take Dan half an hour to travel that much. So it would take Tom half that time.
The polynomial function of the least degree with integral coefficient that has the given zeros is <span>y = (x+2)(x-2)(x-4)(x-6). I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications about the said problem.</span>
Divide each set to see if the answers are identical:
A: 3/2 = 1.5
6/3 = 3
Answers are not the same so this is not proportional.
B: 20/4 = 5
24 /6 = 4
Answers are not the same so this is not proportional.
C: 27/9 = 3
81/27 = 3
Answers are the same so this is proportional.
D: 8/2 = 4
16/8 = 2
Answers are not the same so this is not proportional.
The answer is C.
