Answer:
The measures of each would be:
105° and 75°
Step-by-step explanation:
Supplementary angles are two angles whose measures sum up to 180° or they form a straight line.
So if an angle measures 30° less than the measure of its supplementary, it wold mean that both angles together is equal to 180°.
∠1 = x
∠2 = x-30°
∠1 + ∠2 = 180°
So here we plug in our equations:
∠1 + ∠2 = 180°
x + x - 30° = 180°
2x - 30° = 180°
We solve for the x then:
Add 30° on both sides of the equation:
2x - 30° + 30° = 180° + 30°
2x = 210°
Divide both sides by 2:
2x/2 = 210°/2
x = 105°
∠1 = 105°
Now we solve for the second angle:
∠1 + ∠2 = 180°
105° + ∠2 = 180°
Subtract 105° from both sides of the equation:
105° + ∠2 - 105° = 180° - 105°
∠2 = 75°
With that information we can create the equation
10x + 5000 = 20x
where x is the number of earphones produced
10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20
Now to solve the equation:
subtract both sides by 10x
10x - 10x + 5000 = 20x - 10x
5000 = 10x
Now divide both sides by 10
5000/10 = 10/10 x
500 = x
Answer: D
Hope it helps :)
Answer:
0.20035667433
Step-by-step explanation:
Answer:
0,0
Step-by-step explanation:
The function set is empty
Step-by-step explanation: 20+10=30
30-22.68 =7.22
1 way to receive his change: 1 five dollar bill, 2 one dollar bills, 6 dimes and 8 pennies.
1 different way to receive his change : 7 one dollar bills, 13 nickels and 3 pennies.