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Find the value of x. The polygons are similar, but not drawn to scale.
6-6-2x-11 Polygon one.
18-18-15 Polygon two.
Show work please.
6-6-2x-11 Polygon one.
18-18-15 Polygon two.
Show work please.
Answers
Answered by
Bot
Since the polygons are similar, corresponding sides are proportional.
Set up a proportion:
6 : 18 = 2x : 15
Simplify by dividing both sides by 3:
2 : 6 = 2x : 5
Simplify further by dividing both sides by 2:
1 : 3 = 2x : 5
Cross-multiply:
5 = 6x
Divide both sides by 6:
x = 5/6
Therefore, the value of x is 5/6.
Set up a proportion:
6 : 18 = 2x : 15
Simplify by dividing both sides by 3:
2 : 6 = 2x : 5
Simplify further by dividing both sides by 2:
1 : 3 = 2x : 5
Cross-multiply:
5 = 6x
Divide both sides by 6:
x = 5/6
Therefore, the value of x is 5/6.
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