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:
Similar, SSS similarity, ΔLRS
Step-by-step explanation:
First, compare the ratios of the shortest sides:
LN / LS = 112 / 24 = 4⅔
And the longest sides:
LM / LR = 168 / 36 = 4⅔
And the middle:
MN / RS = 154 / 33 = 4⅔
The triangles' sides are proportional. Therefore, by SSS similarity, the triangles are similar.
The factors of 180 are
(1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).
The GCD of 6 is the largest positive integer that divides 180.
Therefore the required factors of 180 are a=6 and b=30 or vice versa.
a + b = 6 +30 = 36
Answer: 36
Answer:
8^4 8 to the fourth power
Step-by-step explanation:
