Answer:
B) ∠ 5
C) ∠ 4
F) ∠ 6
Step-by-step explanation:
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You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
Percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.
In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.
percent change = (15 - 12)/(12) * 100
percent change = 3/12 * 100
percent change = 25
Since the percent change is positive, +25, it is a percent increase.
Answer: The percent increase is 25%
Chuck has a gross pay of $815.70. His gross pay will be reduced by:
- Federal tax of $56;
- Social Security tax that is 6.2% of his gross pay;
- Medicare tax that is 1.45% of his gross pay;
- State tax that is 19% of his federal tax.
Let's count:
1. gross pay of $815.70 - 100%,
Social Security tax of $x - 6.2%.
Then

2. gross pay of $815.70 - 100%,
Medicare tax of $y - 1.45%.
Then

3. Federal tax of $56 - 100%,
State tax $z - 19%.
Then

4. Chuck’s gross pay will be reduced by

Answer: A: 6
B: 4
C: 2
Step-by-step explanation: