Dan wants to swim 2,500 laps before a swim meet that is 16 weeks away he plans to swim 160 laps in the pool each week for the first 15 weeks

laps swam by dan in 15 weeks = 2400 laps

he would be able to reach his objective of 2500 laps if he swims 160 laps each weeks for 16 weeks.

Step-by-step explanation:

total laps swam by Dan in n number of weeks will be = n×(total laps swan by dan in each week)

it is given that dan swims 160 laps each week

therefore total laps swam by him after 15 weeks will be = 15×160

                                                                                             = 2400 laps

if he swims 160 laps for an extra week he would have swam = 2400 + 160

                                                                                                     = 2560 laps

which is more  than his objective of 2500 laps

therefore dan would have swam an extra of 60 laps if he swims 160 laps each week for 16 weeks

therefore he would complete his quota of 2500 laps.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.