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1 answer:
In 1/6 hour, 1/10 inch of snow fell.
So to find the unit rate per hour, we need to make a proportion.
1/6 is 10 minutes out of an hour so 6/6 or 1 would be an hour.
We can cross multiply. 1/10 * 1 = 1/10, 1/6 * x = 1/6x
1/6x = 1/10
Divide both sides by 1/6 to isolate x.
x = 3/5
Every hour, 3/5 inch of rain will fall.
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Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F =
m∠D = °.
Now, let m∠A = m∠B =
So, m∠C = m∠A + 30° =
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180
Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180
Therefore, m∠F = 50°
m∠E = 50° and
m∠D =
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.