Quadrilaterals WXYZ and W"X"Y"Z"are similar. Identify the type of reflection
1 answer:
Answer:
B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/2
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)
Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).
The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
If quadrilateral WXYZ is reflected across the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
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Given:
John had to pay a combined electric and gas bill $150.
The electric portion of the bill was $90.
To find:
The ratio of money spent on electric to that on gas.
Solution:
Let x be the amount of gas bill.
The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,
The gas portion of the bill was $60.
The ratio of money spent on electric to that on gas is:
Therefore, the ratio of money spent on electric to that on gas is 3:2.
Answer:
The correct option is c.
Step-by-step explanation:
Linear function: The rate of change of a linear function is always constant.
Non-Linear function: The rate of change of a non-linear function is not constant.
From the given coordinate pairs it is noticed that the function is passing through the points (0,-100), (1,-50), (2,0), (3,100) and (4,150).
The slope of function for points (0,-100) and (1,-50) is
The slope of function for points (2,0) and (3,100) is
Since the slopes of function are different, therefore the given function is non-linear.
The function is not linear because the rate of change is not constant and option c is correct.
Answer:
(a) and (c)
Step-by-step explanation:
Given
See attachment for complete question
Required
Select all true statements
First, calculate the total observed frequency;
<u>(a): Relative frequency of 4 is 2/9</u>
Relative frequency is calculated by:
For roll 4
So, the relative frequency is:
Simplify
<em>(a) is true</em>
<u>(b): Experimental probability of 3 greater than its theoretical probability</u>
The experimental probability is its relative frequency;
For roll 3
The experimental probability is:
Simplify
To calculate the theoretical probability, w have:
---- sample space
--- number of times 3 occur
The theoretical probability is:
The theoretical probability is experimental probability.
<em>(b) is false</em>
<u>(c): Experimental probability of 2 greater than its theoretical probability</u>
Using the explanations in (b), we have:
For roll 2
The experimental probability is:
Simplify
To calculate the theoretical probability, we have:
The theoretical probability is:
The experimental probability is theoretical probability.
<em>(c) is true</em>
<u>(d): Relative frequency of 5 is 2/13</u>
For roll 5
The relative frequency is:
Simplify
<em>(d) is true</em>
