The sail on a souvenir boat is similar in shape to the sail on a sailboat. The sail on the sailboat is in the shape of a right triangle with a base of 9 feet and height of 24 feet. The height of the souvenir's sail is 3 inches. What is the base of the souvenir's sail

1 1/8 inches.

Step-by-step explanation:

As the sails are similar,  corresponding sides are in the same ratio, so we have the equation

:24/3 = 9/b     where  b = base of the souvenir boat.

Cross multiply:

24b = 9*3

b = 27/24

= 1 1/8 inches.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.