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Illusion [34]
3 years ago
12

Given: ΔABC Prove: The three medians of ΔABC intersect at a common point. When written in the correct order, the two-column proo

f below describes the statements and justifications for proving the three medians of a triangle all intersect in one point: Statements Justifications Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC Draw Line segment BE Draw Line segment FC by Construction 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 I Line segment BD ≅ Line segment DC Properties of a Parallelogram (diagonals bisect each other) II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC Midsegment Theorem III Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC Substitution IV BGCH is a parallelogram Properties of a Parallelogram (opposite sides are parallel) Line segment AD is a median Definition of a Median Which is the most logical order of statements and justifications I, II, III, and IV to complete the proof? II, III, I, IV III, II, I, IV II, III, IV, I III, II, IV, I
Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Answer:

IV, III, I, II

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vlabodo [156]
So, she has 550 dollars saved. If the junior season pass costs 315, you subtract that from 550. You should then have 235 dollars. Next, you divide 235 by 45 dollars per lesson, and you should get 5.22. You can't buy half a lesson, so she only has enough for 5 lessons. 
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3 years ago
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What is the value of the x variable in the solution to the following system of equations? (5 points) 2x − 3y = 3 5x − 4y = 4 Sel
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Answer:

D. There is no x value as there is no solution to this system

Step-by-step explanation:

2x − 3y = 3                                  5x − 4y = 4

5x - 4y = 4               -4y = -5x + 4                         y = 5/4x - 1

2x - 3(5/4x - 1) = 3

2x - 15/4x + 3 = 3

-7/4x = 0

x = 0

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2 years ago
Over the course of a multi-stage 4510-km bicycle race, the front wheel of an athlete's bicycle makes 1.70x106 revolutions. How m
iragen [17]

Answer:

The wheel have made 2.10 * 10^{6}  m revolutions.

Step-by-step explanation:

The total distance traveled during the race is

D = 4510km [(1000m)/(1km)] = 4510 * 10^{3} m

The radius (r1) of the smaller bicycle wheel is

r1 = \frac{D}{2*pi*N1} = \frac{4510 * 10^{3} m }{2*pi*(2.18*10^{6}) } =0.329 m

Than the larger wheel has a radius

r2 = 0.329 m + 0.012 m = 0.341 m

Over the same distance this wheel would make N2 revolutions

N2 = \frac{D}{2*pi*r2} = \frac{4510 * 10^{3} m }{2*pi*(0.341) } = 2.10 * 10^{6}  m

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3 years ago
90% of the seniors at Richmond high school will attend the school prom. If 270 seniors attend
ELEN [110]

Answer:

243

Step-by-step explanation:

make 90% into a decimal

0.9

multiply 270 by 0.9 to get the answer of 243

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Write 740% as a decimal and as a mixed number.
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740% written as a decimal is 7.4 as a mixed number it would be 7 4/10 or simplified it would be 7 2/5

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3 years ago
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