Question

determine o valor de X em cada figura​

Answer 1

Explicação passo-a-passo:

a) 3 . x = 2 . 6

3x = 12

x = 12/3

x = 4

d) 3 . x = 9 . 6

3x = 54

x = 54/3

x = 18

g) x . 3 = 4 . 9

3x = 36

x = 36/3

x = 12

j) 2x . x = 9 . 8

2x² = 72

x² = 72/2

x² = 36

x = √36

x = 6

Answer 2

Explicação passo-a-passo:

Utilizando potência de ponto nas figuras:

$\overline{PA}.\overline{PB}=\overline{PC}.\overline{PD}$

a)

$3.x=2.6\\\\3x=12\\\\x=\dfrac{12}{3} \\\\\boxed{x=4}$

d)

$3.(x-3)=9.6\\\\3x-9=54\\\\3x=54+9\\\\3x=63\\\\x=\dfrac{63}{3} \\\\\boxed{x=21}$

g)

$3.x=4.9\\\\3x=36\\\\x=\dfrac{36}{3} \\\\\boxed{x=12}$

j)

$2x.x=9.8\\\\2x^{2} =72\\\\x^{2} =\dfrac{72}{2}\\\\x^{2} =36\\\\x=\pm\sqrt{36}\\\\x=\pm 6\\\\\boxed{x=6\ , \text pois\ x>0}$