Answer:
When x =1, y = 3(1) + 4 = 7
When x = 2, y = 3(2) + 4 = 10
When x = 3, y = 3(3) + 4 = 13
There are two probabilities of the solution. First if 80° acts as one of the leg angles, second if 80° acts as the vertex angle.
FIRST PROBABILITY
If 80° is one of the leg angles, then the other angle would be 80° too, because iscosceles has two congruent angles on the leg.
Find the vertex angle
the sum of interior angles in a triangle is 180°
vertex angle + angle on the leg + angle on the leg = 180°
vertex angle + 80° + 80° = 180°
vertex angle + 160° = 180°
vertex angle = 180° - 160°
vertex angle = 20°
The interior angles are 80°,80°,20°
SECOND PROBABILITY
If 80° is the vertex angle, we should find the value of the two leg angles. The two legs has congruent angles.
Find the leg angles
the sum of interior angles in a triangle is 180°
leg angle + leg angle + vertex angle = 180°
2 × leg angle + vertex angle = 180°
2 × leg angle + 80° = 180°
2 × leg angle = 180° - 80°
2 × leg angle = 100°
leg angle = 50°
The interior angles are 80°, 50°, 50°
Answer:
see explanation
Step-by-step explanation:
The area (A) of a regular decagon ( 10 sided ) is calculated as
A = 0.5 × perimeter × apothem
Here side length = 3.25, hence perimeter = 10 × 3.25 = 32.5 m, thus
A = 0.5 × 32.5 × 5 = 81.25 m²
