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AysviL [449]
3 years ago
11

A bottle holds 8.2 ounces of disinfecting soap. Jesse used 0.2 of the soap in the bottle to clean the kitchen floor. How many ou

nces of soap did she use?
Mathematics
1 answer:
Softa [21]3 years ago
3 0
In the question it said jesse used 0.2
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Answer:

Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±\sqrt{61})/2. So, PQ=\frac{\sqrt{61} }{2}, PQ²=\frac{61}{4}. Thus, the answer is 61+4=65.

Step-by-step explanation:

4 0
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