D.) is 13/5 it got cut off needed [10 points up! ]

It would be A. You can find this out by using SOH CAH TOA,

SOH means sin= opposite/hypotenuse

CAH mean cos= adjacent/hypotenuse

TOA means tangent= opposite/adjacent

You would use CAH since you are trying to find cos∠C

You would have cos∠C=10/26.

26 is the hypotenuse since it is opposite the right angle and is the biggest side.

10 is the adjacent since it is right next to C

You would simplify this down to 5/13 by dividing by 2.

This gives you A.

Hope this helps you!

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)