Answer:
The polygons are similar.
Step-by-step explanation:
By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.
Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.
The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is
.
The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is
.
If these polygons are similar, these proportions must be equal.

Checking, we see that these proportions are equal, and therefore the polygons are similar.
We can solve this problem using the Triangle Inequality property. The Triangle Inequality property states that the sum of two sides of a triangle will always be greater than the third. That being said, the only answer that works is the last one, which has the answer of 9 cm, 15 cm, and 22 cm.
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Answer:
457 pesos
Step-by-step explanation:
From the above question, we are told that:
David bought 23 pens and 15 pencils.
Each pen = 14 pesos
Each pencil = 9 pesos
The amount of money David spent in total =
(23 × 14 pesos) + (15 × 9 pesos)
= 322 pesos + 135 pesos
= 457 pesos
Therefore, David spent in total 457 pesos
Looking at the attachment, we'll determine entire hexagon area with this formula:
area = apothem^2 *Number of sides * tan(180/n)
area = 17.32^2 * 6 * tan (30)
area =
<span>
<span>
<span>
299.9824
</span>
</span>
</span>
* 6 * 0.57735
area = <span><span><span>
1,039.16903184
</span>
</span>
</span>
Now we subtract the triangle area (16*20 = 320)
shaded area = <span>
1,039.16903184
-320 = </span>
<span>
<span>
<span>
719.16903184
</span>
</span>
</span>
<span>answer is D
</span>