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1 answer:
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Answer:
64 degrees
Step-by-step explanation:
Since the triangles are similar they have the same angle measures
∠P = ∠S ∠R =∠U ∠Q=∠T
We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U
In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula
subtract 116 from both sides
Therefore ∠Q is equal to 64 degrees
Answer:
140 ounces of water and 105 ounces of 35% salt solution.
Explanation:
Let be the ounces of water that need to be added and
be the ounces of 35% solution that need to to be added.
We know that the total of ounces of water and of 35% solution must be 245 ounces:
35% of is the salt, and since no salt is added with addition of
liters of water, this must be equal to the amount of salt in the final 15% solution:
we solve for and get:
We put this value into and solve for
to get:
Thus we have 140 ounces of water and 105 ounces of 35% solution.