I will give the BRAINIEST

Find the values of x and y in the diagram below

y = 18

x = 7

Step-by-step explanation:

Because the angle with the size of 11x - 9 is along a straight line, the opposite angle is also the same. This means that we have a complete equation for the second triangle:

6x - 2 + 72 + 11x - 9 = 180

72 - 2 - 9 + 6x + 11x = 180

61 + 17x = 180

Now, to solve x we need to subtract 61 from both sides to isolate the 17x:

61 + 17x - 61 = 180 - 61

17x = 119

Divide both sides by 17:

x = 7

Now we have the x variable to put into the second triangle equation.

We also have the total angles for the other triangle:

30 + 11x - 9 + 5y - 8

30 - 9 - 8 + 11x + 5y

13 + 11x + 5y = 180

Substitute in the x variable:

13 + 11(7) + 5y = 180

13 + 77 + 5y = 180

90 + 5y = 180

Subtract 90 from both sides of the equation:

90 + 5y - 90= 180 - 90

5y = 90

Divide both sides by 5:

y = 18

Hope this helps!

25

step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours