The triangles shown are similar. which side corresponds to qr? a) fe b) ed c) fd d) qp

C)FD

Step-by-step explanation:

Given: Triangle PQR and triangle DEF are similar,

We know that if two triangles are similar then their corresponding sides are proportional.

Since QR is the second largest side of Triangle PQR, and the second largest side in triangle DEF is FD .

Therefore by using proportionality, the side corresponds to QR is FD.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)