Douglas has a segment with endpoints i(5, 2) and j(9, 10) that is divided by a point k such that ik and kj form a 2: 3 ratio. he knows that the distance between the x-coordinates is 4 units. which of the fractions below will let him find the x-coordinate for point k? a. 2/3 b. 2/5 c. 3/2 d. 3/5

B. 2/5

Step-by-step explanation:

According to the question,

Douglas has a segment with endpoints I(5, 2) and J(9, 10) that is divided by a point K such that IK and KJ form a 2:3 ratio.

For finding the x-coordinate of K, the following steps can be used,

Step 1: Find the length of line segment IJ.

For this we will find the difference between the x-coordinates of points (5,2) and (9,10)

Which is 4. ( Because, 9 - 5 = 4 )

Step 2 : Find the length of IK, For this, Multiply the difference by the fraction 2/5.

Step 3: Now add IJ with the x-coordinate of point I,

Hence, Option B is correct.

2/5

step-by-step explanation:

im not sure

step-by-step explanation: