Question

4) Determine o valor de x nas figuras abaixo.



respondem por favor

Answer 1

Explicação passo-a-passo:

a)

$\sf \overline{AP}\cdot\overline{BP}=\overline{PC}\cdot\overline{PD}$

$\sf 6\cdot x=2\cdot12$

$\sf 6\cdot x=24$

$\sf x=\dfrac{24}{6}$

$\sf \red{x=4}$

b)

$\sf \overline{PC}\cdot\overline{PD}=\overline{PA}\cdot\overline{PB}$

$\sf 2\cdot(x+2)=6\cdot(12+6)$

$\sf 2x+4=6\cdot18$

$\sf 2x+4=108$

$\sf 2x=108-4$

$\sf 2x=104$

$\sf x=\dfrac{104}{2}$

$\sf \red{x=52}$