Answer:
BD = 9
Step-by-step explanation:
Since, the points B, C D and E all lie on the same line segment, in that order, such that the
ratio of BC:CD: DE is equal to 1:2:2. If BE = 15
Let BC = x, CD = 2x, DE = 2x
[tex] \because BC+CD+ DE= BE\\\\
\therefore x + 2x + 2x = 15..(\because BE =15)\\\\
\therefore 5x = 15\\\\
\therefore x = \frac{15}{5}\\\\
\therefore x = 3\\\\
\because BD = BC + CD\\\|
\therefore BD = x + 2x \\\\
\therefore BD = 3x\\\\
\therefore BD = 3\times 3\\\\
\huge \orange {\boxed {\therefore BD = 9}} [/tex]
