Answer: x = 40
Step-by-step explanation:
these two angles are vertical angles, they will equal each other
therefore, move numbers and variables to the opposite sides of the = sign to isolate the X
3x-10 = 2x + 30
+10 +10 move the -10 by doing opposite
_____________
3x = 2x + 40
-2x -2x move -2x by doing opposite
____________
x = 40
you can check your work by substituting 40 in place of x
3(40) - 10 = 2(40) +30
120-10 = 80 + 30
110 = 110
answer is correct
9514 1404 393
Answer:
3π units
Step-by-step explanation:
The full circumference of a circle with radius 2 is ...
C = 2πr
C = 2π(2) = 4π
The arc shown is 3/4 of the full circle circumference so is ...
3/4C = (3/4)(4π) = 3π . . . units
Answer: V= 150π
V= πr^2 h
V= π(5)^2 (6)
V= 150π
Answer:
900
Step-by-step explanation:
With a $6000 yearly premium and a $5000 deductible the break-even point would be 300 surgeries per year from a sample of 1000 insured people. Over 3 years that would equate to 900 surgeries.
$6000 x 1000 = $6000000
requiring surgery : $25000 - $5000 = $20000
Therefore $600000/$20000 = 300 claims per year
And 3 years x 300 = 900 claims over 3 years.
