Answer:
Proved!
Step-by-step explanation:
Since TS is a tangent to the circle, ∠TSO = 90°.
Hence, ∠OSR = 90° - x.
Since OS and OR are radius, OS = OR.
So, ∠ORS = ∠OSR = 90° - x.
Thus, ∠ROS = 180° - ∠OSR - ∠ORS = 180° - 2 * (90° - x) = 180° - 180° + 2x = 2x.
So, it is proved.
The average of 3 numbers is their total divided by 3.
(150 +205 +178)/3 ≈ 178.67
Rounded to the nearest dollar, the average charge for the period is $178 per month.
Step-by-step explanation:
When a factor appears in both the numerator and denominator, that is a hole in the function.
Therefore, the domain of h(x) is (-∞, 4) (4, ∞).
Which means the range of h(x) is (-∞, 5) (5, ∞).
Graph: desmos.com/calculator/j58gdgugxy
Answer:
x=-15/2, y=1/8. (-15/2, 1/8).
Step-by-step explanation:
3x+4y=-22
x-4y=-8
------------------
4x=-30
x=-30/4
simplify
x=-15/2
-15/2-4y=-8
4y=-15/2-(-8)
4y=-15/2+8
4y=-15/2+16/2
4y=1/2
y=(1/2)/4
y=(1/2)(1/4)
y=1/8
Answer:
A
Step-by-step explanation:
X corresponds to the angle directly above it. ( the one adjacent to or beside 75) That means that x and the angle above it are the same measure. 75 and the angle beside it are a linear pair (adjacent angles on a line that sum to 180 degrees) linear pairs are always supplementary. So angle x has to be 105. 105 + 75 = 180.
Supplementary just means the sum of the two angles is equal to 180. Complimentary is wrong because it means the sum of the two would equal 90 degrees.
