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sweet-ann [11.9K]
3 years ago
13

Prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases.

Mathematics
2 answers:
Viktor [21]3 years ago
4 0
M(b/2 ,c/2 )
Midpoint of BD=((a+d)/2 ,c /2 )
slope of AB = 0
Slope of MN =((c/2-c/2)/ ((a+d)/2-c/2 ))=0
notsponge [240]3 years ago
4 0

M = (d/2, c/2)

N = (a+b/2, c/2)

MN = a+b-d/2

AB = a

CD = b - d

MN = 1/2 (a + b - d)

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Please help me with a) and b) I’m very lost, please explain and how you got your answer
Karo-lina-s [1.5K]

To solve A, complete the square for both variables.

The center is (6,4)

8 0
4 years ago
An amusement park offers two options. Option 1 involves a $10 admission fee plus $0.50 per ride. Option 2 involves a $6 admissio
Art [367]

Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

                Each ride = $0.50

Option 2 . Admission fee = $6

                Each ride = $0.75

Let no. of rides be x

So, cost of ride according to option 1 = 0.50x

So, total cost after having x rides according to option 1 :

= 10+0.50x  ---1

Cost of ride according to option 2 = 0.75x  

So, total cost after having x rides according to option 2 :

= 6+0.75x  --2

Now to find the beak even point i.e. having the same cost

Equate 1 and 2

10+0.50x=6+ 0.75x

10-6= 0.75x-0.50x

4= 0.25x

\frac{4}{0.25} =x

16=x

Thus for 16 rides , the two options have the same cost .

Hence the break even point is 16 rides

5 0
4 years ago
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kirza4 [7]
Well number one is an acute angle number two is obtuse and number three is obtuse
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3 years ago
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trasher [3.6K]

Answer:

Option C: 41

Step-by-step explanation:

<ABD+<CBD=90

<ABD=8x+1

<CBD=6x+5

(8x+1)+(6x+5)=90

Combine like terms

(8x+6x)+(1+5)=90

14x+6=90

14x=90-6

14x=84

divide both sides by 14

x=6

Now we plug that value into <DBC = 6x+5

6(6)+5=

36+5

41

7 0
2 years ago
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X + 1 / 8 y = 2 0 x + 1 / 4 y = 4
UkoKoshka [18]

Answer:

Is that the question

Step-by-step explanation:

No seresly is that the question

4 0
3 years ago
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