One year after you buy a tree, it is 15 feet tall. Each year after you buy the tree, it grows 2.5 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 25 feet?

5 years

Step-by-step explanation:

Since the tree grows 4 feet every single year and the second year it was 12 feet tall then that means that when you bought the tree it was 8 feet tall (12-4 = 8). Therefore, using these values we can write an equation to calculate the number of years it will take for the height of the tree to be 28 feet. We do this by multiplying 4ft by the variable of a number of years (x) and then adding that product to 8ft which is the initial height. All of which should add up to 28 ft.

28 ft. = 8 ft. + 4x    ... subtract both sides by 8

20 ft. = 4x   ... divide both sides by 4

5 years = x

Step-by-step explanation:

42

step-by-step explanation:

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.