Question

Descubra o valor de x nas situações a seguir :

Answer 1

Resposta:

x = 1

Explicação passo a passo:

45 + 90 + x = 180

135 + x = 180

x = 180-135

x = 45

Seno de 45 ° =  Cateto Oposto / Hipotenusa

Seno de 45° =  X / √2

√2/2 = x/√2

x = √2.√2 /2

x= (√2) ² / 2

x = 2/2

x = 1

Answer 2

$\boxed{\begin{array}{l}\sf cos(45^\circ)=\dfrac{x}{\sqrt{2}}\\\\\sf x=\sqrt{2}\cdot cos(45^\circ)\\\sf x=\sqrt{2}\cdot\dfrac{\sqrt{2}}{2}\\\\\sf x=\dfrac{\sqrt{2^2}}{2}\\\\\sf x=\dfrac{2}{2}\\\\\sf x=1\blue{\checkmark}\end{array}}$