Question 2(multiple choice worth 5 points) when solving negative one over three (x − 15) = −4, what is the correct sequence of operations? multiply each side by negative one over three , subtract 15 from each side multiply each side by −3, add 15 to each side multiply each side by negative one over three , add 15 to each side multiply each side by 3, subtract 15 from each side

Multiply each side by −3, add 15 to each side

Step-by-step explanation:

You have the following equation:

(-1/3)(x-15)=-4

First, multiply each side by -3

-3*(-1/3)(x-15)=-4*-3

The 3 that is multiplying cancels with the three in the denominator of the expression (-1/3) and a negative number times another negative number is positive. Then we have:

(1)(x-15)=12

x-15=12

Second, we add to each side 15:

15+x-15=12+15

Positive 15 minus 15 es zero, thus we have:

x=12+15

x=27

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.