Ensino Médio ⇒ Circunferência

[AngelitaB]

Dada figura, U+N=C+P. Calcule X.

IMG-20240424-WA0010.jpg (37.93 KiB) Exibido 26 vezes

a)7
b)8
c)9
d)10
e)11

Resposta

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b

[petras]

AngelitaB,

Por propriedade: MN = NO = PQ = QR = ST = TU = VX = XZ = b

[tex3]FG = GM=a \implies EF = EP = 8-a\\
\\ GM+MN+ EP+PQ \implies a+b+ 8-a+b=8+2b(I)\\
ZL=LY=c \implies WY=WU = X - c\\
XZ +ZL+TU+UW = b+c+X-c+b = X+2b(II)\\
(I)=(II):8+2b=X+2b \therefore \boxed{X = 8}

[/tex3]

Código: Selecionar tudoSHIFT+Click na eq = ZOOM

[tex3]FG = GM=a \implies EF = EP = 8-a\\
\\ GM+MN+ EP+PQ \implies a+b+ 8-a+b=8+2b(I)\\
ZL=LY=c \implies WY=WU = X - c\\
XZ +ZL+TU+UW = b+c+X-c+b = X+2b(II)\\
(I)=(II):8+2b=X+2b \therefore \boxed{X = 8}

[/tex3]