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IRINA_888 [86]
2 years ago
10

Please give a step by step explanation with the reasons. Basically a proofs column. Thank you.

Mathematics
1 answer:
lesya692 [45]2 years ago
8 0
Angle 4 equals angle 5, when all angles are equal and the triangles are similar
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The table shows the price for different numbers of board games:
zlopas [31]

Answer:

We conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the proportionality constant.

From the table,

For the point (2, 7)

k = y/x

  = 7/2

  = 3.5

For the point (4, 14)

k = y/x

   = 14 / 4

   = 7/2

    = 3.5

For the point (5, 17.50)

k  = y/x

   = 17.5 / 5

   = 3.5

For the point (9, 31.50)

k  = y/x

   = 31.50 / 9

   = 3.5

From the above calculations, we computed that the value of the proportionality constant remains the same.

Thus, the table of numbers represents a proportional relationship.

Therefore, the equation becomes

y = kx

The price of 2 board game

y = 3.5 (2)

  = 7

The price of 4 board game

y = 3.5 (4)

  = 14

Therefore, we conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

6 0
2 years ago
Asap Helpppppp <br>is the following a functions?
Leya [2.2K]
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3 0
3 years ago
What is the circumference of a circle that has a diameter of 12 feet
frosja888 [35]

Answer:

i think it's 37.7

Step-by-step explanation:

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2 years ago
find the volume of the smallest right circular cylinder that will hold a sphere whose radius is 4 meters. find the volune of the
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8 0
3 years ago
-2(x+2)=-12 .............
Dima020 [189]

Answer:

x=4

Step-by-step explanation:

-2(x+2)=-12

x+2=-12/-2

x+2=6

x=6-2

x=4

6 0
3 years ago
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