Answer:
x = 20
Step-by-step explanation:
The congruence statement tells you that angle A is congruent to angle D. (Both are listed first in the triangle names.) This means ...
∠A = ∠D
3x -10 = 2x +10
x = 20 . . . . . . . . . . add 10-2x to both sides
Answer:
Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.
Step-by-step explanation:
1) I want to talk about reflections first.
- Reflections across the x-axis -->
, a is the coefficient. if a is negative, then the equation should be reflected across the x-axis. This is known as a vertical reflection. - Reflections across the y-axis -->
, b is the coefficient. If b is negative, then reflect the equation over the y-axis. There are cases where the reflection across the y-axis does not change anything. But, let's say its 
... the reflection across the y-axis is different (that equation is: 
)
2) Rigid transformations
- Horizontal transformations (to the left or right):
, factor out b from "bx-h" and whatever h equals is the units to the right. If h is a negative number, then you move to the left. - Vertical transformations (up and down):
... k is just the units up... if k is negative then we move it down.
Example (check image for visual)
We transform 
to 
, you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.
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Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.
The consistent system is compose of the dependent and independent solution so when you are talking about consistent you are talking about the dependent solution which is when it the same line inconsistent is when they intercept inconsistent is when they are parallel <span />
Answer:
Regression to the mean fallacy
Step-by-step explanation:
It assumes that something has returned to normal because of corrective actions taken while it was abnormal. This fails to account for natural fluctuations. It is frequently a special kind of the post hoc fallacy.
Answer:
1/16
Step-by-step explanation:
