Question

Segment KJ = 8, JI = x+6 and KI = 2x+8.

8
X + 6
K.
1
J
2x + 8
Find the values below. Be sure to show all your work.
a. Find x. [Respond Here]
b. Find the length of KI. [Respond Here]

Answer 1

a). x = 6

b). Length of KI = 20 units

Explanation:

From the picture attached,

a). Length of KI = length of KJ + length of JI

By substituting lengths of the segments given in the picture,

(2x + 8) = 8 + (x + 6)

2x + 8 = x + 14

2x - x = 14 - 8

x = 6

b). Length of KI = (2x + 8)

By substituting x = 6 in the expression,

Length of KI = 2(6) + 8

= 12 + 8

= 20 units