Answer:
G = (9.4, 9,4)
Step-by-step explanation:
The ratio is applied in the x-distance and the y-distance. The ratio is 2:3 so you have to divide the distances by 5 and 2/5 correspond to FG and 3/5 to GH
x-distance:
x2 - x1 = 16 - 5 = 11
11/5 = 2.2
y-distance:
y2 - y1 = 13 - 7 = 6
6/5 = 1.2
Point G = Point F + (2.2*2, 1.2*2)
Point G = (5, 7) + (4.4, 2.4)
= (9.4, 9.4)
<span> The geometric mean of two non negative numbers x and y is √(xy). (mean square root of XY)
So the geometric mean of 2/3 and 27/40 is
√(2/3 * 27/40)
= √(54 / 120)
= √(27 / 60)
= √(9 / 20)
= 3 / √20
= 3 / 2√5
= 3√5 / 10. </span>
Answer:
Alternate Interior Angles