Answer:
The ratio between Roberto and David is 3:11
Step-by-step explanation:
If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29
7-12= -5
7+12= 29
-5 ≤ n ≤ 29 or -5 ≤ n < 30 or -6< n ≤ 29 or -6 < n < 30
either one is acceptable. question was not clear but i did my best! :)
15 or 20
The slope of the line in the table given is 11
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by
m = y₂ - y₁ / x₂ - x₁
Taking two points from the table
m = 1172 - 864 / 72 - 44
m = 11
The slope of the line is 11
Learn more on slope of a line here;
brainly.com/question/16949303
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Option (C)
From the picture attached,
Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.
By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.
∠8 ≅ ∠11 [Alternate interior angles]
m(∠8) = m(∠11) = 118°
Therefore, Option (C) will be the answer.
Answer: 1-3 is a, and then 4-5 is c