Answer:
1) x³-y³ = (x-y)(x²-xy+y²)
2)x²-y² =(x-y)(x+y)
3)x-y = (x-y)
hcf = (x-y)
lcm = (x-y)(x²-xy+y²)(x+y)= (x³-y³)(x+y)
Step-by-step explanation:
Answer:
They are perpendicular to each other
Step-by-step explanation:
Answer:
<x= 31°
Step-by-step explanation:
m<BCA= m<GCJ (vertical angles)
m<BCA= 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC=90°
m<BAC+m<ABC+m<BCA=180° (sum of triangle)
m<BAC+90°+59°=180° (substitution)
m<BAC+149°=180°
m<BAC=180°-149°
m<BAC=31°
<x=<BAC (vertical angles)
m<x=31° (substitution)
Answer:
The correct option is (d) 21.19%.
Step-by-step explanation:
Let the random variable <em>X</em> denote the heights of Fernando's peers.
The mean and standard deviation of the random variable <em>X</em> are:
<em>μ</em> = 68 inches
<em>σ</em> = 10 inches
It is provided that Fernando is 60 inches tall.
Compute the value of P (X < 60) as follows:


*Use a <em>z</em>-table.
The percentage is, 0.2119 × 100 = 21.19%.
Thus, the percentage of his peers are shorter than Fernando is 21.19%.
The correct option is (d).