Jack was 13 years older than Priscilla. together their ages totaled 163 years . What were their ages?

Jack is 88, Priscilla is 75.

Step-by-step explanation:

Let J represent Jack's age and let P represent Priscilla's age.

Their age totaled 163, so:

And we know that Jack was 13 years older than Priscilla. In other words:

Solve for J and P. To do so, substitute the second equation into the first:

Combine like terms:

Subtract 13 from both sides:

Divide 2 from both sides:

So, Priscilla is 75 years old right now.

Jack is 13 years older meaning that Jack is 88 years right now.

And we're done!

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm