Svetlana's hair is 4 4 centimeters ( cm cm) long. her hair grows 1 . 5 cm 1.5cm per month. svetlana wants her hair to be less than 1 6 cm 16cm long. write an inequality to determine the number of months, m m, svetlana can allow her hair to grow so that it is less than 1 6 cm 16cm long.

Step-by-step explanation:

Let m represent the number of months.

We have been given that Svetlana's hair grows 1.5 cm per month, so in m months her hair will grow 1.5m cm.

We are also told that Svetlana's hair is 4 centimeters long, so the total length of Svetlana's hair in m months will be 1.5m+4.

Since Svetlana wants her hair to grow less than 16 cm. This means that total length of Svetlana's hair should be less than 16. We can represent this information in an inequality as:

Let us solve for m.

Therefore, the inequality can be used to determine the number of months, m, Svetlana can allow her hair to grow so that it is less than 16 cm long.

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.