Question

Qual a medida do segmento AB?

Answer 1

Resposta:

x = 4

Explicação passo-a-passo:

3x/4x-6=12/8

24x=48x-6

24x-48x=-6

-24x=-6(-1)

24x=6

x=24/6

x=4

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{\dfrac{12}{8} = \dfrac{3x}{4x - 6}}$

$\mathsf{48x - 72 = 24x}$

$\mathsf{48x - 24x = 72}$

$\mathsf{24x = 72}$

$\mathsf{x = \dfrac{72}{24}}$

$\boxed{\boxed{\mathsf{x = 3}}}$

$\mathsf{\overline{\rm AB} = 3x + (4x - 6)}$

$\mathsf{\overline{\rm AB} = 3(3) + (4(3) - 6)}$

$\mathsf{\overline{\rm AB} = 9 + 12 - 6}$

$\mathsf{\overline{\rm AB} = 21 - 6}$

$\boxed{\boxed{\mathsf{\overline{\rm AB} = 15}}}\leftarrow\textsf{letra E}$