Of three numbers, two are 1/2 and 1/3. What should the third number be so that the average of all is 1?

Step-by-step explanation:

There are three numbers namely x, y, and z.

y and z were given as 1/2 and 1/3.

Therefore, there are three numbers x, 1/2, and 1/3.

If their average is 1, we could write this as:

Let's multiple the whole equation to 2(3) to get rid of the denominators and for clearer simplification.

To check:

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

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.