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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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Marsha is buying a new cell phone. She has a 45% off coupon from the store. She pays $275 for the cell phone. What is the price
jekas [21]

Answer:

The price of the cell phone without the coupon= $500

Step-by-step explanation:

Step 1: Express discounted amount

The discounted amount can be expressed as a function of the original  cost of the phone as follows;

D=r×A

where;

D=discounted amount

r=coupon rate

A=original price of the cell phone before the coupon

In our case;

r=45%=45/100=0.45

A=a

replacing;

Discounted amount=(0.45×a)=0.45 a

Step 2: Amount she pays up

Amount she pays=Original cost of cell phone-discounted amount

where;

Amount she pays= $275

original cost of cell phone=a

discounted amount=0.45 a

replacing;

$275=a-0.45 a

0.55 a=275

a=275/0.55

a=500

The price of the cell phone without the coupon= $500

7 0
3 years ago
An A-frame house is 45 feet high and 32 feet wide. Find the measure of the angle that the roof makes with the floor. Round to th
Flura [38]

Answer:

Angle, \theta=70.4^{\circ}

Step-by-step explanation:

We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.

The attached figure shows the A frame. Let \theta is the angle that the roof makes with the floor. So,

\tan\theta=\dfrac{45}{16}\\\\\tan\theta=2.81\\\\\theta=\tan^{-1}(2.81)\\\\\theta=70.4^{\circ}

So, the angle of 70.4 degrees is the angle that the roof makes with the floor.

4 0
3 years ago
The experimental probability that Amir will make a basket is 0.4. The experimental probability that Juju will make a basket is 0
madreJ [45]

Answer:

30 baskets

Step-by-step explanation:

The experimental probability Pa that Amir will make a basket is 0.4;

Pa = 0.4

the experimental probability Pj that juju with make the same basket is 0.6;

Pj = 0.6

Total number of shoot Nt = 150

Number of basket Amir will make is;

Na = Pa × Nt

Na = 0.4 × 150

Na = 60 basket

Number of basket juju will make is;

Nj = Pj × Nt

Nj = 0.6 × 150

Nj = 90 basket

6 0
3 years ago
Read 2 more answers
Which statement is true about the parts of this expression? 5/6 + 1/4x - y The constant is 5/6. The only coefficient is 1/4. The
andriy [413]

Answer:


Step-by-step explanation:

1/4 is the coefficient

x and y is the variables

5/6 is the constant but there could be a  equal to zero on the end giving you another constant

Therefor the only true statement is The only coefficient is 1/4.  

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3 years ago
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