Answer:
Step-by-step explanation:
Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:
Answer:
x = 20 cm
Step-by-step explanation:
The triangles given are similar triangles because they share the same angles. Because they are similar, their side lengths are in the same ratio, or proportion to one another. The left side of the larger triangle has a length of 121cm + 11cm = 132cm where the smaller triangle only has a length of 11 cm. We can put these lengths into a ratio:
Since the other side of the triangle would have to be in the same proportion, or ratio, we can set up the following proportion:
Use cross-multiplication: 5x + 20 = (10)(12) or 5x + 20 = 120
Subtract 20 from each side: 5x + 20 - 20 = 120 - 20 or 5x = 100
Divide and solve for 'x': 5x/5 = 100/5 or x = 20 cm