Which is the scale factor proportion for the reduction shown? A larger and smaller triangle with corresponding heights and bases.

StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
StartFraction original height over reduction base EndFraction = StartFraction original base over reduction height EndFraction

The answer is A.

Step-by-step explanation:

The first triangle is shown to be the original before the reduction version. The first triangle would be original height/ original base, since we know it is the original because it is shown in front of the reduction version. The reduction version is the small triangle to the right, and it is smaller than the original triangle, making it reduction height, since it is the reducted version of the original height, divided by the reduction base. Your answer would be A.

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

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