Question on circumference, photo attached.
1 answer:
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The marked angles are opposite angles, and as such they have the same measure. So, we have
Subtract 2a and 11 from both sides to get
Divide both sides by 4 to get
Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:
Answer:
Step-by-step explanation:
Make a system of equations
Give the hot and cold faucets variables
Set x to be the minutes it takes for the hot water faucet to fill up the tub and Set y to be the minutes it takes for the cold water faucet to fill up the tub
She first equation is x = 2y because the hot faucet takes <em>2 times</em> as much time as the cold water
The second equation is x + y = 5 because if you add the number of minutes each takes to fill a tub, it will add up to 5 minutes
Now you have the equations
x = 2y
x + y = 5
So you can plug the first equation in for x in the second one to make
2y + y = 5
which equals 3y = 5
Then you divide 3 from both sides to get
y =
Since y is the number of minutes the cold water faucet takes to fill the tub, then the cold faucet takes minutes for the cold water faucet to fill the tub itself