Please solve A sloth moves at a rate of 6 feet per minute. The results are recorded in the table below. a) Determine whether the distance the sloth moves is proportional to the time it moves by graphing on the coordinate plane. Explain your reasoning. b) Write an equation for the line.

A) Yes, it is proportional since on the table, 1 minute is 6 feet, 2 minutes is 12 feet and if you divide both 2 and 12 by 2 then you get 1 and 6.

the slope is 6, y=6x

B) y=6x

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.