At the gym, Ava swims every 10 days, runs every 4 days and cycles every 5 days. If she did all three activities today, in how many days will she do all three activities again on the same day?

After 20 days

Step-by-step explanation: you have to find the greatest common multiple so that the number is a multiple for each of them

since 10 is multiple of 5 you have to find the lcm of 10 and 4 or 5 and 4 which is still 20

so just multiply them and if she swims and does cycles every 10 days then you know that if she is swimming she is cycling, but if she is cycling she might not be swimming. So if running is 4 days then just multiply 4*5 = 20

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq