Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle. Draw a picture to re
present the situation. Then solve for each unknown angle measure.
1 answer:
Answer:
The angles are 26 and 64
Step-by-step explanation:
When two angles are complementary, what this means is that the add up to 90 degrees
Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12
Since they add up to be 90, we have
x + 2x + 12 = 90
3x + 12 = 90
3x = 90-12
3x = 78
x = 78/3
x = 26
The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64
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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.