Will give two boats start their journey from the same point a and travel along directions ac and ad, as shown below: abc is a right triangle with measure of angle abc equal to 90 degrees and length of ab equal to 200 feet. there is a point c on bd such that measure of angle acb is 60 degrees and measure of angle adc is 30 degrees. what is the distance, cd, between the boats? a. 230.9 ft b.284.3 ft c.115.5 ft d.173.2 ft

in triangle abc, we have

on substituting the given values, we get

now, in triangle abd, we have

therefore, the distance between the boats cd is given by

a is the correct option.

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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