The answer is A, not sure about the expression though. Sorry
Answer:
Sofia went on a road trip to visit her family. She first traveled from West Palm Beach to Fort Myers which is 108 miles away. The next day, she drove to Miami for a distance of 135 miles. Finally, driving back home for 81 miles. Determine if the three towns on Sofia’s road trip form a right triangle. Which statement is correct?"
The picture in the attached figure
we know that
RX+RA+XA=24
XA=24-RA-RX------> XA=24-11-4----> XA=9
XA=XP+PA
so
XP+PA=9------> XP=9-PA-----> equation 1
RX/XP=RA/PA
11*XP=4*PA-----> equation 2
substitute equation 1 in equation 2
11*[9-PA]=4*PA-----> 99-11*PA=4*PA----> 15*PA=99----> PA=99/15
PA=6.6
XP=9-PA-----> XP=9-6.6----> XP=2.4
the answer is the option<span>
B. XP = 2.4, PA = 6.6 </span>
If Jamie's age is represented as x and given that Ana is the same age as Jamie then, Ana's age can also be represented by x. The sum of their ages is equal to,
Sum of their ages = x + x
Simplifying,
Sum of their ages = 2x