Answer:
Bren=5 years
Tom=7yrs
Sally=4 yrs
Kate=8years
Step-by-step explanation:
-Let Bren's current age be x, therefore Tom is x+2
-Let Sally's current age be y, therefore Kate is 2y
-Also, given that:
#We calculate the ages one year ago of Tom and Sally:
#Substitute for x in i;
Central angle CBA is a right angle, so it is 90 degrees. This means the arc measure from A to C, following the shortest path on the curve, is 90 degrees. This is minor arc CA. A minor arc is one that is less than 180 degrees in measure.
We want to find the measure of minor arc DE. This is the last piece of the puzzle, so to speak, that forms the entire arc ACD. This arc is 180 degrees because AD is a diameter.
So,
(minor arc DE) + (minor arc EC) + (minor arc CA) = arc ACD
x + 61 + 90 = 180
x + 151 = 180
x + 151 - 151 = 180 - 151 .... subtract 151 from both sides
x = 29
Minor arc DE is 29 degrees.
Check out the attached image below if you're still stuck. Hopefully the image clears any confusion you may have.
