In circle K with the measure of minor arc \stackrel{\Large \frown}{JL}=48^{\circ}, JL ⌢ =48 ∘ , find \text{m} \angle JML.m∠JML.
1 answer:
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Answer:
A
Step-by-step explanation:
Change the mixed numbers to improper fractions
7 =
6 =
The subtraction is then
-
Both fractions have a common denominator so subtract the numerators leaving the denominator
= =
→ A
Answer:
Required inequality is .
Step-by-step explanation:
Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.
Calculation is given by:
Salary per year = $4,800
Average price of a policy = $6,100.
commission on her sales = 3%
Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183
Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x
then total commission on x policies = 183x
Total income using x policies = 4800+183x
Since she wants to make an annual income of at least $8,000. so we can write inequality as:
Hence required inequality is .
Answers:
- The lengths of sides PQ and RS are <u> 13 </u>
- The lengths of sides QR and SP are <u> </u><u>20 </u>
This is a 13 by 20 rectangle.
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Explanation:
Refer to the drawing below.
Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.
We're told that RS = SP - 7 which is the same as saying RS = x-7
We also know that PQ = x-7 as well because PQ is opposite side RS.
In short, we have these four sides in terms of x
- PQ = x-7
- QR = x
- RS = x-7
- SP = x
as shown in the drawing. The four sides add up to the perimeter of 66.
PQ+QR+RS+SP = perimeter
PQ+QR+RS+SP = 66
(x-7)+x+(x-7)+x = 66
4x-14 = 66
4x = 66+14
4x = 80
x = 80/4
x = 20
Use this x value to find the unknown side lengths.
- PQ = x-7 = 20-7 = 13
- QR = x = 20
- RS = x-7 = 20-7 = 13
- SP = x = 20
In short, this is a 13 by 20 rectangle.
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Check:
perimeter = side1+side2+side3+side4
perimeter = PQ+QR+RS+SP
perimeter = 13+20+13+20
perimeter = 33+33
perimeter = 66
The answer is confirmed.
