anonymous
  • anonymous
The two triangles illustrated below are similar. What are the values of x and y? (picture below) A. x = 3, y = 53 B. x = 9, y = 53 C. x = 6, y = 53 D. x = 3, y = 106
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
Are they proportional?
anonymous
  • anonymous
they are similar so yes they are proportional

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anonymous
  • anonymous
the two triangle are similar , then the angles of the smaller triangle is the same with the bigger triangle, so "d" is already not an option now to get the value of y try this proportion 5:30 = x:18
anonymous
  • anonymous
5 x 6 =30 X x 6 =18? X=3 angle y would be equivalent to the angle in the second triangle. Kay? >o<
anonymous
  • anonymous
And so it would be answer choice A.
anonymous
  • anonymous
A? you sure?
mathstudent55
  • mathstudent55
Yes, A is correct In similar triangle, corresponding angle are congruent, so y = 53 Also, in similar triangle, the lengths of corresponding sides are proportional. You know the ratio 30/5. The other sides must be in the same ratio, so 18/x = 30/5
anonymous
  • anonymous
yeah~ because if they really are proportional, the sides would have to be multiplied by the same constant.
anonymous
  • anonymous
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