Answer:
7.5
Step-by-step explanation:
Look at the picture.
If polygons ABCD and EFGH are similar, then corresponding sides are in proportion.
[tex]\dfrac{GH}{CD}=\dfrac{FG}{BC}[/tex]
We have
[tex]GH=z,\ CD=10,\ FG=6,\ BC=8[/tex]
Substitute:
[tex]\dfrac{z}{10}=\dfrac{6}{8}[/tex] croaa multiply
[tex]8z=(10)(6)[/tex]
[tex]8z=60[/tex] divide both sides by 8
[tex]z=\dfrac{60}{8}\\\\z=7.5[/tex]
