Please help! What is the value of x? (No links, I just need an answer and help..) Answer and explanation please!

9514 1404 393

  x = 50

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°.

  130° + x° + 30° + 100° + x° = 360°

  2x° = 100° . . . . . . . . . subtract 260° and collect terms

  x = 50 . . . . . . . . divide by 2°

Additional comment

If you reduce each side length to nothing, then you find the angles are measured around a central point. It becomes more clear that their sum is 360°.

11.25

step-by-step explanation:

juan's ratio of violin to cello is

3/2.5

he practices the violin for 9 hours; this gives us the ratio

9/x

for his cello practice.

together we have the proportion

3/2.5 = 9/x

cross multiplying, 3(x) = 9(2.5)

3x = 22.5

divide both sides by 3:

3x/3 = 22.5/3

x = 7.5

juan practices his cello for 7.5 hours.

nina's ratio of viola to cello is

3/2

since she practiced the cello for the same amount of time as juan, that means she practices 7.5 hours.   this gives us the ratio

x/7.5

and the proportion

3/2 = x/7.5

cross multiplying,

3(7.5) = 2(x)

22.5 = 2x

dividing both sides by 2,

22.5/2 = 2x/2

11.25 = x