Sean determines that the triangle shown in the diagram has angle measures of 40°, 40°, and 100°. Is Sean correct?

Step-by-step explanation:

The two angles add to 80 degrees. Two remote angles always equal the exterior angle not connected to them.

That means that

x + 5 + x - 5 = 80

2x = 80

x = 40

The base angle  is

40 + 40 + y = 180

80 + y = 180

y = 100

Note

You could do this much quicker by noticing that

80 + y = 189

y = 100

No he is not right

The given 2 angles are x + 5 which is 45 and x - 5 which is 35

All he got correct was the fact that the third angle is 100 degrees.

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)

step-by-step explanation: