Debby used a garden hose to fill up a 4-gallon bucket in just 1/6 of a minute. At what rate does water flow through the hose?
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1. , then
and triangles ADC and ACB are similar by AAA theorem.
2. The ratio of the corresponding sides of similar triangles is constant, so
.
3. Knowing lengths you could state that .
4. This ratio is equivalent to .
5. , then
and triangles BDC and BCA are similar by AAA theorem.
6. The ratio of the corresponding sides of similar triangles is constant, so
.
7. Knowing lengths you could state that .
8. This ratio is equivalent to .
9. Now add results of parts 4 and 8:
.
10. c is common factor, then:
.
11. Since you have
.
Answer:
Step-by-step explanation:
{90° = m∠1 + m∠2
{105° = 2m∠1 - m∠2
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All you have left to do is this:
So, your two angle measures are
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