A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 27° = 129°

So, d° = 27° + 129° = 156°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 24° = 156°

You need to find the value of b so solve the first equation in terms of z:

-2b + z = -3
z = -3 + 2b

then substitute the result (-3 - -2b) into the second equation:

-4b + 4(-3 + 2b) = 9
-4b + (4 x -3) + (4 x 2b) = 9
-4b - 12 + 8b = 9
-4b + 8b = 9 + 12
4b = 21
b = \( \frac{21}{4} \)
b = 5\(\frac{1}{4}\)

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

9x - 7 > \( \frac{x}{5} \)
5 x (9x - 7) > x
(5 x 9x) + (5 x -7) > x
45x - 35 > x
45x - 35 - x > 0
45x - x > 35
44x > 35
x > \( \frac{35}{44} \)
x > \(\frac{35}{44}\)

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².