The angles in a triangle add up to 180 degrees. That's the same sum as a linear pair, which we get when two lines cross.
1. 180 - 65 - 45 = 70
Answer: 70°
2. 180 - 90 - 35 = 55
Answer: 55°
3. 180 - 120 = 180 - 50 - x
x = 70
Answer: 70°
<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
Fy = 2 because we derivate in raport witw y and x is like a constant;
fyx = 0 because we deivare in raport with x.
Step-by-step explanation:
(25x+8)°+(9x+2)°=180--->(1)(sum of angles on a straight line
(7y+5)°=(9x+2)°------------->(2)(vertical angles)
25x°+8°+9x°+2°=180°
34x°=170°
x=5°
from equation (2) substitute for x=5°
7y°+5°=9x°+2°
7y°+5°=9(5)°+2°
7y°=47°-5°
7y°=42°
y=6°
(x, y)=(5°,6°)
Answer:
a) 54 > 53 (54 is greater than 53 are not equal); b) 8 = 4 + 4 ; 8 = 8 c) 23 + 6 = 6 + 23 ; 29 = 29 d) 64 < 99 (64 is less than 99
Step-by-step explanation:
