30. MODELING WITH MATHEMATICS You earn
$10 per hour working as a manager at a grocery store,
You are required to work at the grocery store at least
8 hours per week. You also teach music lessons for
$15 per hour. You need to earn at least $120 per week,
but you do not want to work more than 20 hours
per week,
a. Write and graph a system of linear inequalities
that represents the situation,
b. Identify and interpreta solution of the system.
e. Use the graph to determine whether you can work
8 hours at the grocery store and teach 1 hour of
music lessons

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step-by-step explanation:

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.