Question

(Teorema de Tales) Determine a medida de x em cada figura.

Answer 1

$a) \frac{30}{75} =\frac{40}{x} \\30x=3000\\x=\frac{3000}{30}\\ x=100\\\\b) \frac{x}{6-x}= \frac{5}{7} \\7x=30-5x\\7x+5x=30\\12x=30\\x=30/12\\x=2,5\\\\c) \frac{33}{30}= \frac{27,5}{y} \\33y=825\\y=825/33\\y=25\\\\\frac{30}{42}= \frac{25}{x} \\30x=1050\\x=1050/30\\x=35\\\\d) \frac{x}{15,5} =\frac{10,8}{12,6+6} \\18,6x=167,4\\\\\\x=167,4/18,6\\x=9$