Answer:
Explanation:
opposite angles in a quadrilateral sum up to 180°
total interior angles in a quadrilateral is 360°
solve for x:
x - 2 + x + 2 = 180°
2x = 180°
x = 90°
solve for each angle:
1st
x + 2
90° + 2 = 92°
2nd
x - 2
90° - 2 = 88°
3rd
x - 10
90° - 10° = 80°
4th
360° - 80° - 88° - 92° = 100°
Answer:
290
Step-by-step explanation:
Answer:
b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Step-by-step explanation:
Simplify the following:
-2 a (a + b - 5) + 3 (2 b - 5 a) + b (6 a + b - 8)
-2 a (-5 + a + b) = 10 a - 2 a^2 - 2 a b:
10 a - 2 a^2 - 2 a b + 3 (2 b - 5 a) + b (6 a + b - 8)
3 (2 b - 5 a) = 6 b - 15 a:
10 a - 2 a^2 - 2 a b + 6 b - 15 a + b (6 a + b - 8)
b (-8 + 6 a + b) = -8 b + 6 a b + b^2:
10 a - 2 a^2 - 2 a b - 15 a + 6 b + -8 b + 6 a b + b^2
Grouping like terms, 10 a - 2 a^2 - 2 a b - 15 a + 6 b - 8 b + 6 a b + b^2 = b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a):
b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
a b 6 + a b (-2) = 4 a b:
b^2 + 4 a b + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
6 b - 8 b = -2 b:
b^2 + 4 a b + -2 b - 2 a^2 + (10 a - 15 a)
10 a - 15 a = -5 a:
Answer: b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Answer:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.
<em>WAS</em><em> </em><em>THIS</em><em> </em><em>ANSWER</em><em> </em><em>HELPFUL</em><em>?</em><em> </em>
MARK ME AS A BRAINLIEST
So the first thing you want to do is see how much quarts are in a gallon. (4.) Then you figure it would need 2 eight packs to get 4 gallons, as there are 8 quarts in each. 2 eight packs would cost 32 dollars verses 24 dollars for a 4 gallon jug (the same amount as 2 eight pack quarts.) So the 4 gallon jug is cheaper.
