A produce box can hold no more than 25 pounds of potatoes.
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Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:
Solve for the scale factor <em>k: </em>
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Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
In conclusion, the area of ΔEDF is 9.6 square inches.
Parallel lines share the same slope, so the slope of the parallel line in this case must be .
Point-slope form is , where
is the slope and
is any known point on the line.
Plug in the values.
Simplify and distribute.
Subtract 1 from both sides.