Nico wants to use a horizontal number line to compare 13 4 and 1.5. he is unsure how to do it and asks you for . how would you explain the process?

answer with explanation:

properties of numbers plotted on number line:

      numbers on the right of number line is bigger.

the number that nicole wants to compare using number line

first plot these points on the number line, and real numbers on the right of number line is bigger than any real number on the left.

to plot , , on the number line, mark 3 lines between 1 and 2, equidistant from each other ,which we call   and 2.

to plot, 1.5 on the number line, mark a line equidistant between 1 and 2.

you will find that,   is on right of 1.5.so,     is bigger than 1.5.

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.