By the Intersecting Secants Theorem we have
2x(2x+7)=x(x+23)
4x^2+14x=x^2+23x
3x^2=9x
3x=9
x=3
Since DY is length 2x,
the length of DY is 6.
126 liters of pure water should be added
<em><u>Solution:</u></em>
Let "x" be the liters of pure water
Then, 18 + x is the liters of final solution
18 Liter solution of 80% acid, which means 100 - 80 = 20 % of water is used
Pure water is 100%
Then according to question, we can say,
"x" liters of pure water 100 % is mixed with a 18 liter solution of 20 % water to produce a mixture (18 + x) liter that is 90 % water
Thus we frame a equation as:
Equation:
water + water = water


Thus 126 liters of pure water should be added
Answer: 16
Step-by-step explanation:
Answer: x = 20/3 = 6.667
Step-by-step explanation:
Solve : 3x-20 = 0
Add 20 to both sides of the equation :
3x = 20
Divide both sides of the equation by 3:
x = 20/3 = 6.667