40º
7) In this problem, we can see that both tangent lines to that circle come from the same point O.
So, we can write out the following considering that there is one secant line DO and one tangent line to the circle AO
Answer:
2967 yes votes
Step-by-step explanation:
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One way of doing this problem follows:
Find the ratio, r, mentioned in the problem statement. To do this,
write the equation 3r + 5r = 7912 and solve this for r:
8r = 7912, so that r = 989.
Then the number of yes votes was 3(989), or 2967, and the number of no votes was 5(989), or 4947.
check: Does the ratio 2967/4947 equal 3/5? yes.
There were 2967 yes votes.
Start the equation by putting the equations equal to each other 3x+14=7x-10
Next +10 on both sides
3x+14=7x-10
+10 +10
You are left with 3x+24=7x
because the 10's canceled each other out.
Next -3x on both sides
3x+24=7x
-3x +3x
You are left with 24= 10x
because like before the 3's canceled each other out
Now you will divide both sides by 10
24=10x
---- -----
10 10
2.4= X is the answer!
I think it's 36. Because 7x3=21 and 12x3=36
