Bridget has swimming lessons every fifth day and diving lessons every third day. if she had a swimming lesson and a diving lesson on may 5, when will be the next date on which she has both swimming and diving lessons?

On May 20,

Step-by-step explanation:

In order to calculate on which date both her lessons will fall on the same date, we take the LCM of 3 and 5.

Factors of 3 ⇒ 1 × 3

Factors of 5 ⇒ 1 × 5

Since 1 is common, we take it once and multiply with other non-common factors.

Therefore LCM = 1 × 3 × 5 = 15

Thus after 15 days of 5th may = 20th May

she has both lessons on May 20 after May 5.

4

step-by-step explanation:

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value