Answer:
5.5 or 5 1/2
Step-by-step explanation:
In order to solve this problem, we first need to set up an equation. Line AB is tangent to circle P. So is line AC. Because these two tangent lines come together at a point, they are congruent, or equal to each other. Now that we know this, we can set up an equation in order to solve for the value of y.
3y + 4 = 11y
Now solve for y.
- 3y - 3y
4 = 8y
÷8 ÷8
y = 0.5 or 1/2
Now that we know what the value of y is, we can plug that number into the AB equation to figure out what the measurement of line AB is.
3(0.5) + 4 =
1.5 + 4 =
5.5 or 5 1/2
We now know the measurement of line AB. I hope this helps and isn't too confusing. Please let me know if you need any more help. Good luck!
