There are 7 tigers at the zoo. each year, the number of tigers increases by 10%. there are 15 eagles at the zoo. each year, 2 new eagles join the zoo.

part a: write functions to represent the number of tigers and eagles at the zoo throughout the years. (4 points)

part b: how many tigers are at the zoo after 10 years? how many eagles are at the zoo after the same number of years? (2 points)

part c: after approximately how many years is the number of tigers and eagles the same? justify your answer mathematically. (4 points)

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.