Answer:
2.8
Step-by-step explanation:
These 2 irregular pentagons are similar, meaning that the second one is a scaled down version of the first one.
We can work out the scale factor by picking 2 corresponding sides (one from each of the pentagons) and dividing the bigger one by the smaller one.
I'm using 5 and 3.5, but any 2 matching sides work. 5÷3.5 can be solved by converting to a fraction equation (to get a neater answer). This gives [tex]\frac{5}{1}[/tex]÷[tex]\frac{7}{2}[/tex], which can be solved to [tex]\frac{10}{7}[/tex]or [tex]1\frac{3}{7}[/tex].
This means 4÷x=[tex]1\frac{3}{7}[/tex]. This can be rearranged to x=[tex]\frac{4}{1}[/tex]÷[tex]\frac{10}{7}[/tex], which can be solved to [tex]\frac{28}{10}[/tex], which is 2.8 as a decimal.
**This question involves similar shapes, which you may wish to revise. I'm always happy to help!
