There are 24 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital? There are men in the dance recital.

9 men

Step-by-step explanation:

men: women : total

3          8            3+8

3          8               11

There are 24 women

24/8 = 3

Multiply each term by 3

men: women : total

3*3      8*3         11*3

9           24         33

There are 9 men at the recital

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.