Supplementary angles add up to 180 degrees-
Let x = "the angle"
supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"
Supplement angle + "the angle" = 180 degrees
(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle
3x + 12 = 180 // Simplify
3x = 168 // Subtract 12 from both sides
x = 56 degrees // Divide both sides by 3
The measure of the angle is 56° and its supplement is 124°
Answer:
A = $1,545.00
(I = A - P = $45.00)
Equation:
A = P(1 + rt)
Explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Putting time into years for simplicity,
9 months / 12 months/year = 0.75 years.
Solving our equation:
A = 1500(1 + (0.04 × 0.75)) = 1545
A = $1,545.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 4% per year for 0.75 years (9 months) is $1,545.00.
Answer:
∡RST
∡S
∡TSR
∡4
this appears to be an obtuse angle
Step-by-step explanation:
∡RST
∡S
∡TSR
∡4
this appears to be an obtuse angle
Answer:
<u>1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Proportion of patrons that are male at Joe's restaurant = 1/4
Proportion of patrons that are from out of town at Joe's restaurant = 1/5
2. What proportion would you expect to be male and out of town?
For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:
Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant
<u>1/4 * 1/5 = 1/20 </u>
<u>It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>
