Answer:
Step-by-step explanation:
10). AD = BC [If ABCD is a parallelogram]
3x + 1 = 6x - 4
6x - 3x = 1 + 4
3x = 5
x = 
11). If ABCD is a parallelogram,
AB = CD
5x - 8 = 2x + 7
5x - 2x = 7 + 8
3x = 15
x = 5
12). If ABCD is a parallelogram,
AB = CD
AB║CD and BD is a transversal intersecting these parallel lines.
∠ABD ≅ ∠BDC [Alternate interior angles]
4x - 1 = x + 38
4x - x = 38 + 1
3x = 39
x = 13
Number 4 would be: C
And number 5 would be: C
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Answer:
(a) Reflection across the y-axis, followed by translation 10 units down
Step-by-step explanation:
Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.
Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.
Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.
Step-by-step explanation:
By Pythagoras' theorem,
12^2 = 11^2 + height^2
height = ±√12^2 - 11^2 (rej -ve value since height > 0)
height = 16.279 (5sf) = 16.3 (nearest tenth place)
Topic: Pythagoras theorem
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