Area = (x - 5)(x – 7)
Area = x(x - 7) - 5(x - 7)
Area = x^2 -7x -5x + 35
Area = x^2 -12x + 35
algebraic expression that represents its area: x^2 -12x + 35
x^2 - 12x + 35 = 195
x^2 - 12x + 35 - 195 = 0
x^2 - 12x - 160 = 0
x^2 - 8x - 20x - 160 = 0
x (x + 8) - 20 (x + 8) = 0
(x + 8) (x - 20) = 0
(x + 8) = 0
(x - 20) = 0
x = - 8 (not a solution)
x = 20
hence,
length = x - 5
length = 20 - 5
length = 15 m
width = x - 7
width = 20 - 7
width = 13 m
perimeter = 2(13) + 2(15)
perimeter = 26 + 30
perimeter = 56 m²
Answer:
P ≈ 100
Step-by-step explanation:
260 = P(1+0.054/365)^365(14)
260 = P(1.000147945)^5110
260= P(2.129621112)
P= 122.087444818
P ≈ 100
Answer:
-5 and -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
∠D = ∠E = 46°
Step-by-step explanation:
∠D and ∠E are interior opposite angles.
∠D = ∠E
2(x + 8) = 3x + 1
2x + 16 = 3x + 1
x = 15°
∠D = 2(15 + 8) = 2 × 23 = 46°
∠E = 3× 15+ 1 = 45 + 1 = 46°
