Rectangle WXYZ has vertices: W(-2, -3) X(-2, 1) Y(4, 1) and Z(4, -3). The figure is rotated 90° counter-clockwise about the orig
1 answer:
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Answer:
65 people.
Step-by-step explanation:
We have to work backwards.
We end with 63 people, and at the stop we lost 19 people and gained 17.
; if x = # people at the beginning
There were 65 people on the train to begin with.
Answer:
v = 3 , 3/5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
For better explanation of the solution, see the attached diagram of the problem :
The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.
Now, from the diagram : AD is the angle bisector angle B
On Cross multiplication :
⇒ 9 × 3x = 15 × (2x - 1)
Using the distributive property,
⇒ 27x = 15×2x - 15×1
⇒ 27x = 30x - 15
Subtract 30x from each side:
⇒ 27x - 30x = 30x - 15 - 30x
⇒ -3x = -15
⇒ x = 5
