5 is common factor
also x
reverse distributive
ab+ac=a(b+c)
5x(x)+5x(4)=5x(x+4)
last one
Answer:
One month of gameplay costs $15
Step-by-step explanation:
Angie: 20 + 3x
Kenny: 20 + 2x
(20 + 3x) + (20 + 2x) = 115 --- add their costs together
(20 + 20) + (3x + 2x) = 115 --- collect like terms
40 + 5x = 115 --- simplify
5x = 75 --- subtract 40 from both sides
x = 15 --- divide both sides by 5
1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg
He used 7/27 kg of sugar.
Answer:
- m∠C = 43.6°, m∠B = 107.4°, b = 51.2
Step-by-step explanation:
<u>Use the law of sines:</u>
- a / sin ∠A = c / sin ∠C
- 26 / sin 29° = 37 / sin ∠C
- sin ∠C = 37 sin 29° / 26
- sin ∠C = 0.6899
- m∠C = arcsin 0.6899
- m∠C = 43.6°
<u>Find the missing angle:</u>
- m∠B = 180° - 29° - 43.6° = 107.4° (rounded)
<u>Use the law of sines to find the length of b:</u>
- a / sin ∠A = b / sin ∠B
- 26 / sin 29° = b / sin 107.4°
- b = 26 sin 107.4° / sin 29°
- b = 51.2 units (rounded)
Answer:
23
Step-by-step explanation:
51+(2x+3)=100 ( exterior angle is equal to two opposite interior angles)
51+2x+3=100
2x+54=100
2x=100-54
x=46/2
x=23
