Answer:
k = 5
Explanation:
If we imagine that triangle ABC was shortened to create
triangle CED then the factor by which CB was shortened
to create CE is the same factor that shortened AB to
make DE.
= 10.8
= 6
This means the scale factor is:
CE/CB = 6/10.8 = (Decimal: 0.555556) or fraction (5/9)
scale factor: 5/9
Then we apply this factor to AB
DE = 5/9 × AB
--> k = 9 × 5/9
k = 5
or you can do the shorter way, which is
9/k = 6 + 4.8 / 6
Step 1: Cross-multiply.
(9)*(6)=(6+4.8)*(k)
54 = 10.8k
Step 2: Flip the equation.
10.8k = 54
Step 3: Divide both sides by 10.8
10.8k/10.8 = 54/10.8
k = 5