Question

Divida o segmento AB= 40 abaixo em dois segmentos na razão 3\7

Answer 1

Resposta:

AX=12 cm e XB=28 cm

Explicação passo-a-passo:

$AX+XB=40\\\\\frac{AX}{XB} =\frac{3}{7} \\\\7AX=3XB\\\\AX=\frac{3XB}{7} \\\\AX+XB=40\\\\\frac{3XB}{7} +XB=40\\\\3XB+7XB=280\\\\10XB=280\\\\XB=28\ cm\\\\AX+XB=40\\\\AX+28=40\\\\AX=40-28\\\\AX=12\ cm$