Please help me with my homework ?

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1 Answer
Feb 16, 2018

#x=9#

Explanation:

.

In similar polygons, the ratio of corresponding sides are the same:

#16/12=(x-1)/6#

#4/3=(x-1)/6#

We can multiply both sides by #6# to get rid of the fractions:

#(6)(4/3)=(6)((x-1)/6)#

#(2)cancelcolor(red)(6)(4/cancelcolor(red)3)=(cancelcolor(red)6)((x-1)/cancelcolor(red)6)#

#8=x-1#

#x=8+1=9#