Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
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<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
The answer is D because when you transfer the numbers to decimal forms, you can see how each choice may or may not be true. The decimal form for D is 1.167<1.833 which is true.
Answer triangle RST is congruent to the triangle LMK
If you move the triangle vertically you can find the congruency of two sides and one angle
Answer:
B
y=-2x+4
C
f(n)=-2n+4
Step-by-step explanation: