Answer:
They have 425 candy bars ready to sell.
Step-by-step explanation:
Let,
x be the number of candy bars ready to sell
y be the number of chips ready to sell
According to given statement;
x+y=575 Eqn 1
x+0.5y= 500 Eqn 2
Subtracting Eqn 2 from Eqn 1
(x+y)-(x+0.5y)=575-500
x+y-x-0.5y=75
0.5y = 75
Dividing both sides by 0.5
Putting y=150 in Eqn 1
x+150 = 575
x = 575-150
x = 425
Hence,
They have 425 candy bars ready to sell.
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:
m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°
Combine like terms:
48° + 3x° = 90°
Subtract 48° from both sides:
48° - 48° + 3x° = 90° - 48°
3x = 42°
Divide both sides by 3 to solve for x:
3x/3 = 42/3
x = 14°
Plug in the value of x into the equation to fins m< 1 and m < 2:
m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°
90° = 90° (True statement)
Therefore:
m < 1 = 62°
m < 2 = 28°
The union of the sets are the values that appear in both sets when plotted in a Venn diagram and if I'm not mistaking, I think the right answer is (B)
