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boyakko [2]
3 years ago
11

Select all that apply. Several pennies are tossed in the air. Twelve land heads up and fifteen land tails up. Which of the follo

wing ratios are correct? 12 heads to 27 coins 15 tails to 12 heads 5 tails to 9 coins 12 heads to 15 tails
Mathematics
2 answers:
storchak [24]3 years ago
8 0

Answer:12 heads to 15 tails

Step-by-step explanation:

jeka943 years ago
4 0

Answer:

12 heads to 15 tails

Step-by-step explanation:

Heads : Tails

12 : 15

4 : 5

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
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Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

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Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

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coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


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3 years ago
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