Answer:
A
Step-by-step explanation:
They are basically wanting the value of x.
These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.
To solve this, we have to use secant-secant theorem.
Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.
In algebra, that is:
![(x+1)(x+1+11)=(x+4)(x+4+1)](https://tex.z-dn.net/?f=%28x%2B1%29%28x%2B1%2B11%29%3D%28x%2B4%29%28x%2B4%2B1%29)
Let's multiply and find the value of x:
![(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2](https://tex.z-dn.net/?f=%28x%2B1%29%28x%2B1%2B11%29%3D%28x%2B4%29%28x%2B4%2B1%29%5C%5C%28x%2B1%29%28x%2B12%29%3D%28x%2B4%29%28x%2B5%29%5C%5Cx%5E2%20%2B%2013x%20%2B%2012%3Dx%5E2%2B9x%2B20%5C%5C13x%2B12%3D9x%2B20%5C%5C13x%20-%209x%20%3D%2020%20-%2012%5C%5C4x%20%3D%208%5C%5Cx%20%3D%202)
Hence, the correct answer choice is A
I think the correct answer is C. i hope this helps
Where is the diagram?
Can't be solved without it.
Answer:
Because sine can only be positive in quadrant II according to the CAST rule.