Coordinates : A(1,2) B(-5,6) C(7,-4) D(-2,t) - All are taken in order
gradient of AB = (6-2)/(-5-1) = 4/-6 = -⅔
since it is quadrilateral, AB//CD
gradient of CD = -⅔
equation of CD : y-(-4)=-⅔(x-7)
y+4=-⅔x+14/3
y=-⅔x+⅔
now, sub x=-2 from D(-2,t)
since t is the y-coordinate of point D
t=-⅔(-2)+⅔
t=2
Therefore, t=2
Answer:
72 degrees
Step-by-step explanation:
let the ratio be 2x and 3x
2x + 3x =180° ( co interior angles )
5x = 180°
x = 180 ÷ 5
x = 36°
And the smaller angle = 2 × 36° = 72°
Use the pythagorean theorem.
Answer:
C. 164
Step-by-step explanation:
its self explanitory
Answer:
L = 7, W = 6
Step-by-step explanation:
All I did was I wrote out the equations, L = 2w - 5 and 2L + 2W = 26. I then substituted what L was into the equation and solves. Here's my work if you would like to see it.