∠2 =∠1 which is 180° -65° =115<span>°
So </span>∠2=115<span>° </span>
The vertices coordinates following a reflection along the y-axis are S(-6,6), T(2,6), U(2,0), V(-6,0).
<h3>What is reflection?</h3>
A reflection point is created when a figure is constructed around a single point known as the point of reflection or the figure's centre. There is an exact opposite point on the other side of each point in the figure. Under the point of reflection, the figure's size and shape are unaltered.
Given points are p ( 8,-2 ) Q(8,5) R( 4,-2 )
The reflection of the points
P (8,-2) = P (-8, 2)
Q (8,5) = Q (-8, -5)
R (4,-2) = R (-4, 2)
Therefore, the coordinates of the vertices after a reflection across the Y-axis are P (-8, 2) Q (-2, 6) R (-2, 0)
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Answer:
(-1)*(-1)=1
1*(-1)= -1
first option (-1) is the right answer.
We have the first equation:
-10x + 5y = zero
we can divide all terms by 5 to get:
-2x + y = zero
This means that:
y = 2x .................> equation I
We now will look at the second equation:
<span>-4x-6y=54
</span>we will substitute with equation I in this equation to get:
<span>-4x-6(2x)=54
-4x - 12x = 54
-16x = 54
x = -3.375
Substitute with the value of x in equation I to get y as follows:
y = 2(3.375) = -6.75
Therefore, for the given system of equations:
x = -3.375
y = -6.75</span>
