angles in a straight line ==> (2x + 12) + y = 180
parallel ==> 3x + 23 = y
Solve the system of equations: (x, y) = (29, 110).
\(8439 \div 245 = 34\quad \text{remainder} \quad 109\)
\(QT = \sqrt{53^2 - 28^2} = 45\)
\(RT = \sqrt{117^2 - 45^2} = \boxed{108}\)
\(\sqrt{9^2 - 6^2}= \boxed{6.7}\) feet
Relative to Trisha, Mark is traveling at 4 miles per hour. Trisha has an 8 mile lead, so it will take Mark 2 hours to catch up.
It's from (-1, 0].
If x is an integer, then [x] - x = 0.
If x is a decimal, then [x] - x is the negative of the fractional part of x.
The sum of external angles of any polygon is 360 degrees. Having a right angle contribues 90 degrees to the external angles, so there can only be a maximum of 3 right angles. (if there were 4, there wouldn't be room for any more angles)
Quadrant III ==> sin is negative, cos is negative
sin(x) = -5/13
cos(x) = -12/13
\(360 \cdot \frac{10}{4} = \boxed{900}\)
\(\frac{3x+8}{15} = \frac{4}{3}\)
\(\frac{3x+8}{15} = \frac{20}{15}\)
3x + 8 = 20
3x = 12
\(\boxed{x = 4}\)
