The rigid transformations that maps ΔABC onto ΔFED by reflection then translation.
The correct option is (B).
<h3>What is Translation?</h3>
Translation is also another form of transformation whereby all the points of a figure are shifted at exactly the same distance and in the same direction without being resized, reflected nor rotated.
given:
ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.
Hence, the rigid transformations that maps ΔABC onto ΔFED by reflection then translation.
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That would be 770,000 Answer
Answer:
£3.6
Step-by-step explanation:
24 = 100% ; x = 15%
Let's make it simple
Answer:
The value of AM = 43
Step-by-step explanation:
As point M is the midpoint of AB, so
Given
AB = 8x - 50
AM = 2x + 9
so substituting AB = 8x - 50 and AM = 2x + 9 in the equation AB = AM + BM
AB = AM + BM
8x - 50 = 2x + 9 + BM
8x - 2x - 50 - 9 = BM
6x - 50 = BM
Thus,
BM = 6x - 59
As
AM = BM
so substituting AM = 2x + 9 and BM = 6x - 59 in the equation AM = BM
2x + 9 = 6x - 59
switch sides
6x - 59 = 2x + 9
subtract 2x from both sides
6x - 2x - 59 = 2x + 9 - 2x
4x - 59 = 9
add 59 to both sides
4x - 59 + 59 = 9 + 59
4x = 68
divide both sides by 4
4x/4 = 68/4
x = 17
Thus, the value of x = 17
Therefore, the value of AM will be:
AM = 2x + 9 = 2(17) + 9 = 34 + 9 = 43
Hence, the value of AM = 43
<u>Verification:</u>
AM = BM
2x + 9 = 6x - 59
2(17) + 9 = 6(17) - 59
34 + 9 = 102 - 59
43 = 43
and
AB = 8x - 50 = 8(17) - 50 = 86
Answer:
Step-by-step explanation:
We are given the line:
And we want to find the slope of the line parallel to this given line.
Remember that parallel lines have the same slope. So, if we can determine the slope of the given line, we have the slope of its parallel line.
To determine the slope of the given line, we simply have to isolate the <em>y</em>. So, we can first divide everything by 3. This yields:
Adding 2<em>y</em> to both sides yields:
And subtracting 6 from both sides yields:
Finally, dividing everything by 2 gives us:
Hence, the slope of our line is 1/2.
So, the slope of the line parallel to this line must also be 1/2.
