Yoko, daniel, and rami went for a bike ride in the park today. yoko bike rides at the park for 3 days. daniel bike rides at the park every 6 days. rami bike rides at the park every 7 days. find the least common multiple of 3, 6 and 7 to determine how many days will pass before all three bike ride at the park on the same time.

It will take 42 days to pass before all three bike ride at the park on the same day.

Step-by-step explanation:

multiples of 3: 3, 6, 9 , 12, 15, 18, 21, 24,27, 30, 33, 36, 39, 42

multiples of 6: 6, 12, 18, 24, 30, 36, 42

multiples of 7: 7, 14, 21, 28, 35 ,42

the LCM or least common multiple is the first number in the list that 3, 6, and 7 both have. The first number is 42 because they dont have any other numbers in common before that.

I hope this helped you:)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.