Question

3) Nas figuras mostradas, allbllc. Calcule a medidas de x.
a)
b)
c)
20
16
El
b
15
6
b
50
12
12
X +3
C
d)
e)
27
b
5
2
25
4​

Answer 1

Resposta:

Pelo teorema de Tales:

a)\\\frac{20}{50}=\frac{16}{x}\\\\20.x = 50\;.\;16\\\\x = \frac{50\;.\;16}{20}\\\\x=40

b)\\\frac{2}{x+3}=\frac{4}{12}\\\\4.(x+3) = 2\;.\;12\\\\4x+12 = 24\\\\x=\frac{24-12}{4}\\\\x = 3

c)\\\frac{6}{x}=\frac{5}{12}\\\\5.x = 6\;.\;12\\\\x = \frac{6\;.\;12}{5}\\\\x=\frac{72}{5}=14,4

d)\\\frac{x}{4}=\frac{1}{16}\\\\16.x = 4\;.\;1\\\\x = \frac{4}{16}\\\\x=\frac{1}{4}=0,25

e)\\\frac{x}{5}=\frac{2x+4}{25}\\\\25.x = 5(2x+4)\\\\25x = 10x + 20\\\\15x=20\\\\x = \frac{20}{15}=\frac{4}{3}\approx 1,33