Answer:
-11
Step-by-step explanation:
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Answer:
The y-coordinate of F is 8.
Step-by-step explanation:
The area of the large triangle = 1/2 * base * height.
From the given coordinates:
The base of the large triangle = x coordinate of C - x coordinate of A
= 11 - 3 = 8 units.
It's height = y coordinate of A = 12, so
Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.
Using a similar calculation for the small triangle:
Base = 10 - 6 = 4 and height = k units.
So it's area = 1/2 * 4 * k = 2k unit^2.
So from given area of the shaded part:
48 - 2k = 32
-2k = -16
k = 8.
Answer:
-10 and 2
Step-by-step explanation:
1. Think about what numbers multiply to -20: -10 and 2, 10 and -2, -20 and 1, 20 and -1, 4 and -5, -4 and 5
2. Then, think about which of the above adds to -8. This leaves you with -10 and 2
Find the ratio of the similar known sides:
1.34/2 = 0.67
The smaller triangle is 0.67 the size of the larger one.
Multiply the similar sides by the ratio:
DE = 4 x 0.67 = 2.68
FE = 3 x 0.67 = 2.01