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Inessa [10]
3 years ago
12

Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm. Find the length o

f the second triangle. Round to the nearest tenth if necessary.
A)5.8 cm
B)8.9 cm
C)6.4 cm
D)7.7 cm
Mathematics
1 answer:
kupik [55]3 years ago
3 0

the answer is D)7.7 cm

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garik1379 [7]

Answer:

B(-3, -3)

Step-by-step explanation:

If a point O(x, y) divides line segment XY in the ratio of n:m and the endpoints of the segment are X(x_1,y_1)\ and\ Y(x_2,y_2), the coordinates of O is:

x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1

Given that A(6, -6) and C(-6, 2). Pont B is on AC such that:

AB = (3/4)AC

AB/AC = 3/4

Therefore point B divides the line AC in the ratio of 3:1. Let point B be at (x, y), therefore:

x=\frac{3}{3+1}(-6-6)+6=\frac{3}{4}(-12)+6=-9+6=-3\\ \\y=x=\frac{3}{3+1}(-2-(-6))-6=\frac{3}{4}(4)-6=3-6=-3

Therefore the location of B is at (-3, -3)

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