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Answer:
c
Step-by-step explanation:
60(5m2 +2m +3) the answer is d
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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The expression of (5a³ⁿ)³ in positive exponents using the law of indices is 125 a⁹ⁿ
The expression has exponents. Therefore, let's express it with a positive exponent.
Therefore,
(5a³ⁿ)³
Hence, let distribute the outside exponents(law of indices),
(5a³ⁿ)³ = 5³ × a³ⁿ ˣ ³
Therefore,
5³ × a³ⁿ ˣ ³
5 × 5 × 5 = 5³ = 125
a³ⁿ ˣ ³ = a⁹ⁿ
Hence,
(5a³ⁿ)³ = 125 a⁹ⁿ
learn more on exponents here: brainly.com/question/2289511
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Answer:
It would be 125a^9n
Answer: Angle AFB is congruent to angle CEB because alternate interior angles are congruent.
Step-by-step explanation:
Given: ,
And, ac and ef are intersecting each other at point b.
Prove: Triangle abf is similar to triangle cbe
Since, (Reflexive)
,
⇒ ef is the common transversal of parallel lines fa and ec.
(Because Alternative interior angles are congruent)
Thus, By AA similarity postulate,