Answer:
[tex]x=3.5[/tex]
Step-by-step explanation:
Notice that CD bisects Angle C.
Then by the Angle Bisector Theorem, we can write the following proportion:
[tex]\frac{6}{4.2}=\frac{5}{x}[/tex]
Now, we can solve for x. Cross multiply:
[tex]5(4.2)=6(x)[/tex]
Multiply:
[tex]21=6x[/tex]
Divide both sides by 6:
[tex]x=21/6=7/2=3.5[/tex]
Hence, the vale of x is 3.5.
