Sara goes to the shopping mall every 6 th day andy goes to the same shopping mall every 7th day how many times will they meet in the mall in the month of December and January if we start counting from 1st December

Sara and Andy will meet at the shopping mall once ( 1 time) in the month of December and January

Step-by-step explanation:

December + January

= 31 days + 31 days

= 62 days

How many times will they meet in the mall in the month of December and January ?

We can solve this by finding the common factors of 6 days and 7 days in the month of December and January

Sara (every sixth day) = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66

Andy (every seventh day) = 14, 21, 28, 35, 42, 49, 56, 63

The common factor is 42

Therefore, Sara and Andy will meet at the shopping mall once in the month of December and January

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

x coordinate is none

step-by-step explanation: