Answer:
x= -7,-6,2,11,3
Step-by-step explanation:
Explanation is in the file
tinyurl.com/wpazsebu
x = 12
length = 4 cm
width = 20 cm
a = lw
Plug in the givens
80 = (x - 8)(x + 8)
Multiply
80 = x^2 - 64
Add 64 to both sides
144 = x^2
Take the square root of both sides
x = ±12
(The negative root is extraneous since the dimensions can not be negative)
length = x - 8 = 4 cm
width = x + 8 = 20 cm
In Δ AFB,
∠AFB + ∠ABF + ∠A = 180 {Angle sum property of triangle}
90 + 48 + ∠1 = 180
138 + ∠1 = 180
∠1 = 180 - 138
∠1 = 42°
FC // ED and FD is transversal
So, ∠CFD ≅∠EDF {Alternate interior angles are congruent}
∠2 = 39°
In ΔFCD,
∠2 + ∠3 + ∠FCD = 180
39 + ∠3 + 90 = 180
129 +∠3 = 180
∠3 = 180- 129
∠3 = 51°