4. a tank containing 35 gallons of water is leaking at a rate of gallon per minute. write an expression to determine the number of gallons left in the tank after m minutes.

The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.

Solution:

Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute.

Let "m" represent the number of minutes spent

Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.

Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute

Hence, the required expression is 35 – m

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.