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
Answer:
x = -1/2
Step-by-step explanation:
2x + 4y = 13
3x + y = 2 (you can multiply this equation by -4 in order to eliminate the y-term)
-4(3x + y = 2) = -12x - 4y = -8
+ <u>2x + 4y = 13</u>
-10x = 5
x = -5/10 or -1/2
x(-1/2) + 4y = 13
-1 + 4y = 13
4y = 14
y = 14/4 or 7/2 or 3 1/2
To answer this item, we are to use the concept of combination. The equation is as follows,
nCr = (n!)/((r!)(n - r))!
Substituting the known values in the equation,
3C2 = 3!/(2!)(3-2)! = 3
Hence, the answer to this item is 3.
<em>ANSWER: 3</em>
