5/8 of the prizes at the giant spin were dolls. If there were 64 prizes , how many prizes were not dolls ?
2 answers:
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Answer:
Step-by-step explanation:
The figure given has two similar triangles: ΔABC and ΔDEF. Although the triangles are similar, their orientation is different and ΔDEF is flipped. Since the triangles are similar, their side lengths are proportional to each other. Given the orientation of the triangles, we can still see that the diagonal (hypotenuse) for the larger triangle is AC and the smaller is DF. The only answer that matches these up proportionally is the third one. Looking at the second side, BC, we can see that this matches up to the longer leg of EF on the smaller triangle. Final answer being:
Answer:
Step-by-step explanation:
So we have the equation:
Let's let u be equal to x². So:
Factor:
Zero Product Property:
Subtract:
Replace:
Take square root:
Simplify: