Using the table above. Which statement below is true?

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

9514 1404 393

Answer:

(d) 45% play basketball; 55% play soccer

Step-by-step explanation:

You just need a little number sense here. The total number who play sports is the number in the lower right of the table: 120.

The fraction who are males playing basketball is 42/120. Comparing that to 45/100, we see it cannot be 45%. (a) is false.

The fraction who are males is 72/120, more than half, so cannot be 40%. (b) is false.

Looking at males who play basketball, we have already determined the fraction 42/120 is well below 65%. (c) is false.

The fraction who play basketball is 54/120 = 45%. (d) is true.

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Answer:

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Step-by-step explanation:

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3 years ago

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4vir4ik [10]

Answer:

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Step-by-step explanation:

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3 years ago

the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees

horsena [70]

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.