The length of segment CD is [tex]3x+8[/tex] and length of segment DB is [tex]4x+10[/tex]. The length of BC can be calculated by adding segment CD and DB.
Thus the length of segment BC is [tex]144 \:\rm units[/tex].
Given:
Segment CD [tex]=3x+8[/tex]
Segment DB [tex]=4x+10[/tex]
Find the total length by adding segment CD and DB.
[tex]\begin{aligned}3x+8+4x+10=8x\\7x+18=8x\\7x-8x=-18\\-x=-18\\x=18 \end{aligned}[/tex]
Substitute the value of [tex]x[/tex] to length of segment BC.
[tex]\rm {Segment BC}=8\times18=144[/tex]
Thus the length of segment BC is [tex]144 \:\rm units[/tex].
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