Answer:
Option C. x = 12
Step-by-step explanation:
we have that
Traingles MOP and MNQ are similar
therefore
The ratio of its corresponding sides is proportional

substitute the values


Answer:37.2 sec
Step-by-step explanation:
Given
Joel takes 81 sec for 14 mile long track
speed of joel
mi/min=10.37 mi/min
Jason takes 69 sec for 14 mi track
so jason speed is 
if both starts from same spot in opposite direction then

where x is distance covered by Joel
then x=6.44 miles
therefore time required

Answer:
i. Girls : 10 merits
ii. Boys : 11.4 merits
iii. The boys did better on average because the number of their mean merits received is higher than that girls.
Step-by-step explanation:
Mean = 
Sum of merits received by boys = 5 + 10 + 19 + 22 + 13 + 10 + 1
= 80
number of merits = 7
Mean number of merits received by boys = 
= 11.4286
The mean number of merits received by boys is 11.4
Sum of merits received by girls = 6 + 11 + 15 + 16 + 12 + 10 + 0
= 70
number of merits = 7
Mean number of merits received by girls = 
= 10.0
The mean number of merits received by girls is 10.0
Therefore,
i. Girls : 10 merits
ii. Boys : 11.4 merits
iii. The boys did better on average because their mean merits is higher than that girls.
To determine the nth term of sequence, first we need to know what type of sequence is it. It can be an arithmetic sequence or a geometric sequence. For an arithmetic sequence, the nth can be determined by the formula,
an = a1 + (n-1)d
For a geometric sequence,
an = a1r^n-1
Hope this answers the question.