Answer:

Step-by-step explanation:



Reducing 3 from numerator and denominator,

The distance between the points (d) is found using the Pythagorean theorem.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.
<h3>
You are correct. The answer is the second choice.</h3>
BC = JC by the single tickmarks shown
CD = CD because of the reflexive property
The angles between these two pairs of sides, that you've marked in the second answer choice, are needed to use SAS (side angle side).
See the diagram below. In the diagram, angle BCD (green) is between segments BC and CD. Also, angle JCD (blue) is between JC and CD.
Suppose, we are given
two points as
F as (x1, y1)
H as (x2, y2)
assume it divides in m/n
we can use formula

now, we are given points as
F=(x1, y1)=(4,8)

H=(x2, y2)=(10,12)


so,

now, we can find


so, point is
.................Answer