Answer:
5^3
Step-by-step explanation:
125= 5*25
25=5*5
5 is a prime number and there are 3 of them so the answer in index notation will be 5^3
Answer:
π\6
Step-by-step explanation:
The reference angle is the smallest angle measured from the terminal side of the angle (where the angle ends) to the x axis. The reference angle is an acute angle (i.e less than 90° or π/2)
For O = 11π/6 = 1.833π
1.833π is in the fourth quadrant between 3π/2 radians and 2π radians. Since it is in the fourth quadrant, the reference angle is given as:
reference angle = 2π - 11π/6 = π\6
Answer:
(1,2)
Step-by-step explanation:
we know that
The rule of the transformation is equal to
(x, y) ------> (x + 3, y + 1)
Pre-image -----> Image
(x, y) ------> (4, 3)
so
x+3=4 ----> x=4-3=1
y+1=3 ---> y=3-1=2
therefore
The pre-image is the point (1,2)
Im pretty sure its B if not im sorry :(
<h3>
Answer: x = 16</h3>
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Explanation:
On that diagram, the unmarked angle above the (6x-8) is equal to (5x+12). This is because the unmarked angle and the angle marked with (5x+12) are corresponding angles. Corresponding angles must be congruent if you want line m to be parallel to line n.
From here we add up (5x+12) and (6x-8) and set that sum equal to 180. Solve for x
We get the following:
(5x+12)+(6x-8) = 180
5x+12+6x-8 = 180
(5x+6x)+(12-8) = 180
11x+4 = 180
11x = 180-4
11x = 176
x = 176/11
x = 16
