Answer:
D. 6
Step-by-step explanation:
the similarity theorem:
x/9 = 8/12
12x=8 (9)
12x = 72
x = 72/12
x = 6
Answer:
a or b but i think a
Step-by-step explanation:
Answer: I did the test too
Answer:

Step-by-step explanation:
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<u>Distance formula</u>

Let P(x, y) = any point on the locus
Let A = (0, 2)
Let B = (-2, 3)
If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

Therefore, using the distance formula:

Square both sides:
![\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2%2B%28y-2%29%5E2%3D%5Cdfrac%7B1%7D%7B9%7D%5B%28x%2B2%29%5E2%2B%28y-3%29%5E2%5D)

Multiply both sides by 9:



G -1/6= 1/6
Move -1/6 to the other side
sign changes from -1/6 to 1/6
G-1/6+1/6=1/6+1/6
G = 2/6
Reducing: divide by 2 for 2/6
2/2= 1
2/6= 3
Answer : G= 2/6= 1/3