Answer:
99
Step-by-step explanation:
Through some clever algebra, we can combine our first two equations using the fact that
We have the a² and the b² in the equation , and we <em>almost </em>have a 2ab in the equation
. To get that 2ab, we can simply double both sides of the first equation to get
. From there, we'll add the first two equations together, giving us the summed equation
And since , we can equivalently say that
Answer:
15°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.
A regular 12-sided polygon is a polygon with 12 equal sides and angles.
The sum of interior angles of a polygon is given as:
sum = (2n - 4)90; where n is the number of sides of the polygon
For a 12 sided polygon:
Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°
Therefore since all the angles are equal, each angle = 1800° / 12 = 150°
Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x
Therefore in triangle PQR:
∠PQR + ∠PRQ + ∠QPR = 180°
150 + x + x = 180
150 + 2x = 180
2x = 30
x = 15°
∠PRQ = 15°
Answer:
The correct statement is D)
Step-by-step explanation:
To get this equation into slope-intercept form, you need to isolate the variable y on the left. 2y - 3x = -4 ⇒ 2y = 3x - 4 ⇒ y = x - 2. The slope would be
which is positive, and the y-intercept is -2, which is negative.