a. 4 – commutative property
b. 5 – commutative property
c. 0 – identity property
d. 4 – associative property
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The commutative property lets you swap the order: (a) + (b) = (b) + (a).
The associative property lets you change the grouping: (a+b)+c = a+(b+c).
The identity property lets you add 0 without changing anything: (a) +0 = (a).
Answer:
The expected values from the product of 2 marbles are 1,2,3,4,5,6,8,10,12,15,20
Step-by-step explanation:
THe expected values are 1,2,3,4,5,6,8,10,12,15,20
Answer:
8.3 cm
Step-by-step explanation:
The product of lengths to the near and far point of intersection with the circle is the same in all cases:
(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)
Since we're only interested in x, we can divide by 4 and subtract 4:
49 cm² = (4 cm)(4 cm +x)
(49/4) cm = 4 cm +x . . . . . . divide by 4 cm
8.25 cm = x . . . . . . . . . . . . . subtract 4 cm
To the nearest tenth, x = 8.3 cm.
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For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.
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The angles depend on the size of the circle, which is not given.
