Diameters AB and CD of circle K intersect such that m∠BKD = 100°. The measure of arc AC is:
2 answers:
Answer:
Measure of arc AC = 100°
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
Given : AB and CD are the diameters of the circle K and m∠BKD = 100°
To find : measure of arc AC
Solution :
The angle which is formed by the arc AC is m∠AKC so we need to find the measure of the angle ∠AKC
Now, m∠BKD = 100°
and m∠BKD = m∠AKC ( Vertically opposite angles are always equal)
⇒ m∠AKC = 100°
Hence, Measure of the arc AC = 100°
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Answer:
There are <u>20,000 milligrams</u> chlorine in the pool.
Step-by-step explanation:
Given:
The chlorine per liter of water in the pool is 2.5 milligrams.
The volume of water in the swimming pool is 8000 gallons.
Now, to find the quantity of chlorine in the pool.
Let the quantity of chlorine be
The gallons of water in the swimming pool = 8000.
The milligrams of chlorine per liter of water in the pool = 2.5.
According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.
So, 2.5 mg of chlorine is equivalent to 1 liter.
Thus, is equivalent to
Now, to get the quantity of chlorine by using cross multiplication method:
<em>By cross multiplying we get:</em>
Therefore, there are 20,000 milligram chlorine in the pool.