Before we begin, let's identify what kind of angles these are and are they related in any way?
These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.
Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,
1 = 2
83 - 2x = 92 - 3x
Now, we can solve for X by isolating it on one side.
83 - 2x = 92 - 3x
Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92
Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83
x = 92 - 83
x = 9
Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65 -
TRUE
So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.
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Answer:
Statements A and D
Step-by-step explanation:
A. Since all of the values surrounding x = 0.5 reflect across that point, there is a line of symmetry at x = 0.5
B. This is not a y intercept since in the point (-12,0) the x value is not zero and at y intercepts, it should be zero.
C. Same thing from statement B, the y value for the x intercepys should be zero, not 4 or -3.
D. To help visualize this, take the slope of the secant line from x = -4 to x = 0.
(8 - (-10))/(-4 - 0) = 18/(-4) or -9/2. Since the slop is negative, the function is decreasing on this interval.
Step-by-step explanation:
hope this solution will help you
Answer:
more money by 25 dollars
Step-by-step explanation:
Spent:
20 *3 = 60
Made:
17*5 =85
-60+85 = 25
Het made 25 dollars over the period
Answer:
Step-by-step explanation:
The formula to calculate the exponential growth function is equal to
where
f(x) is the population
P is the population in the year 2000
r is the rate in decimal
x is number of years since 2000
e is the mathematical constant number
we have
substitute in the formula above