Answer:
<h3> To find x you need to divide polygon into triangles</h3><h3>The formula
: "the sum of exterior angles=360°" is false for concaved polygons</h3>
Step-by-step explanation:
α = 180° - 135° = 45°
β = 180° - 120° = 60°
γ = 180° - 60° = 120°
δ = 180° - x
ε = 180° - 80° = 100°
If we divide the pentagon into five triangles then:
5•180° = α + β + γ + δ + ε + 4x
900° = 45° + 60° + 120° + x + 100° + 4x
900° = 325° + 5x
5x = 575°
x = 115°
60° + 120° + 135° + 80° + 115° = 510° ≠ 360°
Answer:
(Triangular pyramid)
Lateral area = 1650
Total surface area = 1860.1
(Triangular prism)
Volume = 660
Step-by-step explanation:
<u> For the triangular pyramid</u>
Area of triangle =
× base × height
Area of the base =
× 22 × 19.1 = 210.1
Area of the sides =
× 22 × 50 = 550
Number of sides (excluding base) = 3
∴ Total Area = 210.1 + (550 × 3)
= 210.1 + 1650 = 1860.1
Lateral Area = (550 × 3) = 1650
<u>For the triangular prism</u>
Area of the triangle =
× 12 × 5 = 30
Volume = Area x Height
Volume = 30 × 22 = 660
Answer:
D. y = -4x + 3
Step-by-step explanation:
x y
0 3 -4(0) + 3 = 3
1 -1 -4(1) + 3 = -1
2 -5 -4(2) + 3 = -5