Answer:
n = 10
Step-by-step explanation:
given m varies directly as n then the equation relating them is
m = kn ← k is the constant of variation
to find k use the condition m = 6 when n = 5
6 = 5k ( divide both sides by 5 )
k = = 1.2
m = 1.2n ← equation of variation
when m = 12 , then
12 = 1.2n ( divide both sides by 1.2 )
10 = n
t N.
In the figure shown below
Answer:
A horizontal line segment M K intersects with line segment J L at their midpoint N.
∠J N M =(5x+2)°
∠ LN M=3( x+ 14)°
So, ∠J N M + ∠ LN M =180°[ These two angles form linear pair.Angles forming linear pair are supplementary.]
⇒5 x+ 2+ 3 (x+ 14) =180 [ By Substitution]
⇒ 5 x+2 +3 x+42°= 180°
⇒ 8 x=180°-44°
⇒8 x= 136°
⇒x= 136°÷8
⇒x=17°
So, ∠J N M =5×17 +2=87°
∠ LN M= 3×(17 +14)=3×31=93
∠J N M =∠K N L [Vertically opposite angles]
∠K N L=87°
