The given polygons are similar
Step-by-step explanation:
By observing the given diagrams, we can see that the respective angles are congruent.
Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.
For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar
So,
The scale factor is:
We can see that the scale factor is same for all sides.
Hence,
The given polygons are similar
Keywords: Polygons, similarity
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Answer:30 mi
3s = 2.5(s+2)
3s = 2.5s + 5
3s - 2.5s = 5
.5s = 5
s = 5/.5
s = 10 mph to the beach
:
:
Confirm this by finding the actual distance each way, should be the same
3*10 = 30 mi
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:
The only correct option is the probability of B which is 
Answer:
x = 9, Angles are 54°
Step-by-step explanation:
First, we need to find x:
7x-9 = 5x+9
+9 +9
7x = 5x+18
-5x -5x
2x = 18
x = 9
Now, we plug our x value in to find our angles.
5(9) + 9 = 54
Angle B = 54°
7(9) - 9 = 54°
Angle E = 54°
(angles are the same due to AAA property)
Answer:
the answer is x = 0
Step-by-step explanation:
Cancel equal terms on both sides of the equation:
Divide both side of the equation by 5.
Therefore, the answer is x = 0
