Answer:
the answer is option B. angle S.
when naming an angle we place the vertex of the angle in the middle. here the angle is RST. But that option is unavailable. very often when there are no other angles interfering with the parent angle, we represent it using one letter that is the mid letter, the vertex. here in this case it is S.
Answer:
$216435
Step-by-step explanation:
Given : Suppose homes in a big city increase in value 13% every year.
To Find: How much will a home that cost $150,000 be worth 3 years later?
Solution:
Principal = $150000
Rate = 13% =0.13
Time = 3 years
Formula : 
Now substitute the values in the formula


So, The cost of home after 3 years will be $216435
Hence Option B is true
Answer:
The probability that a defective rod can be salvaged = 0.50
Step-by-step explanation:
Given that:
A machine shop produces heavy duty high endurance 20-inch rods
On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.
If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.
Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches
Now:
P(X ≤ 5) = 
= 0.25
P(X ≥ 15) = 
= 0.25
The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)
= 0.25+0.25
= 0.50
∴ The probability that a defective rod can be salvaged = 0.50
The time William would arrive in town B IS 1 : 47 pm.
<h3>What time will William arrive in town B?</h3>
The first step is to determine the distance and the time of Dennis's travel.
Time = 14 hours (2 pm + 12) - 10 hours = 4 hours
Distance = time x average speed
4 x 52 = 208 miles
The second step is to determine the time of William's travel:
Distance / average speed = time
208 / 40 = 5.20 = 5 hours 12 minutes
Time William left for the trip = 10 am - 1 hour 25 minutes = 8 :35am
Time he would reach town B = 8 : 35am + 5 hours 12 minutes = 13 hours 47 minutes = 1 : 47 pm
To learn more about average speed, please check: brainly.com/question/21734785
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Answer:
k=-11
Step-by-step explanation:

if
is a factor,
