Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He kn
ows that the distance between the x-coordinates is 8 units. Which of the following fractions will let him find the x-coordinate for point E?a. 
b.
c.
d.
b.
c.
d.
1 answer:
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Answer:
Step-by-step explanation:
You can observe in the figure that JK is a tangent and KH is a secant and both intersect at the point K. Then, according to the Intersecting secant-tangent Theorem:
You know that:
Then KE is:
Now you can substitute the value of KE and the value of KH into and solve for JK. Then the result is: