This is the steps for equation solving for the value of x,
x/3-7 = 11
now 7 goes to the other side of equation by changing the sign from - to +,
x/3 = 11 + 7
x/3 = 18
now when we multiply both sides of equation with 3 or 3 goes to the other side of equation and multiply with 18 leaving x alone here for finding the value of x,
and we get, x = 54
at the end of equation we get x = 54, if the equation was in the form 3x - 7 = 11, then we will get x = 6
They simplify operations when the systems are not encumbered by the variables.
For perpendicular lines, m2 = -1/m1 = -1/(-2/3) = 3/2 [m1 = -2/3]
Required equation is y + 2 = 3/2(x + 2) => y + 2 = 3/2 x + 3 => y = 3/2 x + 1
Answer:
42°
Step-by-step explanation:
Altitude of an isosceles triangle divides it vertex in equal angles
so ∠ABD = ∠PBC = 48/2 = 24
In ΔABC sum of angles = 180 and ∠A = ∠C
48 + A + C = 180
2A = 180 - 48 = 132
A = 132/2 = 66 = ∠C
As PB = PC ---> ∠PBC = ∠PCB = 24
∠ACB = 66 = ∠PCD + ∠PCB
66 = ∠PCD + 24
∠PCD = 42
