ANSWER
The correct answer is B
<u>EXPLANATION</u>
If we analyse the coordinates carefully, you realize there is a mapping of
This is a reflection in the y-axis.
Since the transformation is a reflection, the shape is preserved. Therefore, the image triangle P'Q'R' of triangle
PQR are congruent.
Answer:
Supplement of <1 = 122°
Supplement of <2 = 156°
Step-by-step explanation:
Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.
Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°
Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.
Thus:
Supplement of <1 = 122°
Supplement of <2 = 156°
<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>
Answer:
f(x) - 3 is translated 3 units down and -2*f(x) is reflected across x-axis.
Step-by-step explanation:
We have, f(x) becomes f(x) - 3.
The y-intercept of f(x) is f(0), this implies y-intercept of f(x) -3 is f(0) - 3. This means that the graph of f(x) is translated 3 units down.
Next, we have f(x) becomes -2*f(x).
The y-intercept of -2*f(x) is -2*f(0) and it means that first the graph of f(x) is stretched horizontally by 2 units and then reflected across x-axis.
As, the function f(x) is multiplied by 2, this implies that resultant function -2*f(x) will be an even function and its graph will be symmetric about y-axis.
Moreover, the function -2*f(x) increases wherever f(x) decreases and vice-versa.
To solve this problem, you can use a simple table to find the number of quarters and dimes:
type of coin I Quantity of coin I Value of coin (in amount of money)
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dimes I x I 10x (a dime is equal to 10 cents)
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quarters I 18-x I 450-25x (a quarter is equal to 25 cents)
After doing this table, you can form the equation:
10x + 450 - 25x = 420
-15x = -30
x = 2 dimes
18-x = 16 quarters
