Answer:
Attachment 1 :- x = 3/2
Attachment 2 :- m + r = 154°
Step-by-step explanation:
Attachment 1 :-
As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-
Attachment 2 :-
PQR is a straight line . It's given that m + n = 110°
But we know that m + n + r = 180° ..............eqn.1
So substituting the value of m+n in eqn.1 gives :-
m+n+r = 180°
=> r + 110° = 180°
=> r = 180° - 110°
= 70°
It's also given that n+r = 96°
So putting the value of r in the above gives ,
n+r = 96°
=> n + 70° =96°
=> n = 96° - 70°
= 26°
Putting the value of n in eqn.1 gives
m + n = 110°
=> m + 26° = 110°
=> m = 110° - 26°
= 84°
So m + r = 84° + 70° = 154°
Area of wall = 9 * 12 = 108 ft^2
Width of TV = x
Lenght = 2x
Diagonal of TV = 72 " = 6 ft
x^2+(2x)^2=6^2
x^2+4x^2=36
5x^2=35
x^2=36/5
x=sqrt(36/5)
Width = 2.68 ft.
Length = 2.68 * 5.36 = 14.36 ft^2
Area of wall - area of tv = 108 - 14.36 = 93.64 ft