Answer:
1/4
Step-by-step explanation:
simple
49.5 is 150 percent of 33.
To find out what percent 49.5 is of 33, you can use the following formula:
Percentage Formula. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
To calculate the percentage of a number, we need to use a different formula such as:
P% of Number = X
where X is the required percentage.
If we remove the % sign, then we need to express the above formulas as;
P/100 * Number = X
Percent = (49.5 / 33) * 100
Let's calculate it:
Percent = (49.5 / 33) * 100
Percent = 1.5 * 100
Percent = 150
Therefore, 49.5 is 150% of 33.
To know more about percent click here :
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Answer:
r(180°,0) is a rotation of 180° degrees over the origin.
Notice that this rotation moves our figure to the opposite quadrant (so a translation of two quadrants).
Then this is equivalent to:
A reflection over the x-axis followed by a reflection over the y-axis.
Or.
A reflection over the y-axis followed by a reflection over the x-axis.
There is another possible reflection, but it depends on where is our figure.
If the figure is in the first or third quadrant, a reflection over the line y = -x is equivalent to the rotation.
If the figure is in the second or third quadrant, then the reflection over the line y = x is equivalent to the rotation.
We can combine those two and write:
A reflection over the line y = (-1)^n*x.
Where n is the number associated with the quadrant where the figure is in.
A rotation reflection, r(180°, O)(△BCD), can be achieved by performing two reflections over intersecting lines.
If the lines intersect at an angle of 90 degrees, the combination of the two reflections would result in a 180-degree rotation.
The mathematical question requires knowledge of geometrical transformations, specifically, reflections.
The rotation reflection, r(180°, O)(△BCD), means the initial triangle within the plane is reflected over a point 'O' by 180 degrees.
This reflection will result in an image equivalent to a series of two reflections over intersecting lines.
In commonly accepted mathematical conventions, it is generally accepted that any rotation can be represented by two reflections over intersecting lines.
For instance, two reflections over lines intersecting at an angle ∅/2 represent a rotation by an angle ∅, hence, a rotation by 180 degrees would mean the intersecting angle is 90 degrees.
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Step 0: 43 + 3(-5 + 2)
Step 1: 43 + 3(-3)
Step 2: 12 + 3(-3)
Step 3: 12 + (-9)
Step 4: 3
Answer:
Step 2
Step-by-step explanation:
Janet replaced 43 from 12 out of nowhere, and there is nothing in the problem indicating that 43 should be changed into 12.
30x + 25x = 130
30 + 25x = 130
30 + 25 = 130x