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aasiarobinson998
04.05.2021 •
Mathematics
Find the area of the shaded region of the trapezoid.
M 찌
18
9
A. 12 sq. units
B. 48 sq. units
C. 60 sq. units
D. 36 sq. units
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Ответ:
The value of x is -0.5 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to find a point which divides a line into two parts
- If point (x , y) divides a line whose endpoints are (x1 , y1) and (x2 , y2)
at ratio m1 : m2 from (x1 , y1) to (x2 , y2), then
#
#
* Lets solve the problem
∵ Point A located at (0 , 4)
∵ Point B located at (-2 , -3)
∵ Point (x , y) located at 1/4 the distance from A to B
- That means the distance from A to point (x , y) is 1/4 the distance
from point A to point B
∴ The distance from A to B is divided into four equal parts, where
the distance between point A and point (x, y) is one and the
distance between point (x, y) and point B is three
∴ Point (x , y) divide the line AB at ratio 1 : 3 ⇒ (1 + 3 = 4)
* Now lets find the x
∵ x-coordinate of point A is 0
∴ x1 = 0
∵ x-coordinate of point B is -2
∴ x2 = -2
∵ m1 = 1 , m2 = 3
- By using the rule above
∴
* The value of x is -0.5