Three score years and ten ( 30x 20 +10 = 70)
Chat with our AI personalities
Suppose the points are P = (r,s) and Q = (t,u) Then gradient of PQ = (u - s)/(t - r) = m, say. Let Z = (x,y) be any point on the line. Then gradient ZP also = m that is (y - s)/(x - r) = m Equating the two expressions for m, (y - s)/(x - r) = (u - s)/(t - r) or y - s = (x - r)*(u - s)/(t - r) y = (x - r)*(u - s)/(t - r) + s = x*m - r*m - s This is of the form y = mx + b, where m is as defined above and b = -r*m + s
Let x represent the larger angle and y the smaller. Solve the following: x+y=180 x-y=40 The second equation tells us that x=y+40. Plugging this into the first equation, we get, (y+40)+y = 180 2y+40=180 2y=180-40=140 y=140/2=70 So, y=70 and x=70+40=110.
4x-4y-ty+xt = 4x+tx-4y-ty = x(4+t) - y(4+t) = (x-y)*(4+t)
T,e,t,t,f,f,s,s,e
Z A B C D E F G H I J K L M N O P Q R S T U V W X Y Z