Answer:
<em>x = 24 </em>
Step-by-step explanation:
The corresponding sides of similar Δs are proportional.
ΔADE ~ ΔABC ⇒ =
=
AD = x + 8 ; DE = 8
AB = x ; BC = 6
=
⇔ 8x = 6(x + 8) ⇒ <em>x = 24</em>
Rename each additive inverse without parentheses
1 answer:
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Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.
Step-by-step explanation:
<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>In order to solve this problem it is important to analize the information provided in the exercise.
You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.
Then, you can identify that the Length scale factor used is:
Now you have to find the Area scale factor.
Knowing that the Length scale factos is 6, you can say that the Area scale factor is:
Finally, evaluating, you get that this is:
Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.