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1/3

Step-by-step explanation:

Look at two corresponding lengths that are easy to measure.

BC and B'C' are both along horizontal lines, so you can easily count squares to find their lengths.

BC = 3

B'C' = 1

B'C' is the image, and BC is the original.

The scale factor is obtained by dividing a length of the image by the corresponding length of the original.

scale factor = B'C'/BC = 1/3

1/3

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3