an elderly patient goes to a general doctor every 4 weeks and goes to a chiroprator every 6 weeks . if he went to both the general and chiropractor today , how many weeks would he have to wait until both his appointments are on the same day again?

Step-by-step explanation:

He will actually need to wait for 12 weeks. And that is because if you look at the multiples of 6 and 4 and you'll notice that 12 is the lowest common multiple between them. So you start counting from 6 and 4 at the same time until you notice the LCM of these two numbers then on which ever you number you settle on is how long he will need to wait.

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral