Given m \| nm∥n, find the value of x.
1 answer:
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Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
Answer:
(3, -8) and (2, -10)
Step-by-step explanation:
Given
Required
Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)
(3, -8)
x = 3 and y = -8
--- True
--- True
(2, 5)
x = 2 and y = 5
--- False (No need to check the other inequality)
(-5, 1)
x = -5 and y = 1
--- True
--- False
(10, 3)
x = 10 and y = 3
--- False (No need to check the other inequality)
(2, -10)
x = 2 and y = -10
--- True
--- True
Hence, the solution to the inequalities are:
(3, -8) and (2, -10)