P is the incenter of QRS. Use the given information to determine find the indicated measure.

Answers

Answer 1

Answer: The incenter is equidistant from all three triangle sides.
So, PJ = PK = PL.
PJ = 4x -8
PL = x + 7

Therefore,
4x -8 = x + 7
3x = 15
x = 5
So, PJ = 12
PL = 12 and
PK = 12

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You have two biased coins. coin a comes up heads with probability 1 / 4. coin b comes up heads with probability 3 / 4. however, you are not sure which is which, so you choose a coin randomly and you flip it. if the flip is heads, you guess that the flipped coin is b; otherwise, you guess that the flipped coin is a. a) True b) False

Answers

False. To get an accurate answer, you should flip the coin at least 4 times.

If Jana bikes at a constant rate how many miles did she bike in the first 15 minutes

Answers

Answer:

What is the constant rate?

Step-by-step explanation:

25 points? Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

1. Subtract 4 from 17, then divide by 3.
2. Solve the equation 4c - 3 = 17.
3. Add 4 to 17, then multiply by 3.
4. Solve the equation 3c - 4 = 17.

1, 2, 3, or 4? Thanks :)

Answers

Answer:

solve the equation 3c-4=17

choice 4

Step-by-step explanation:

3c-4=17

3c=17+4

3c=21

3c÷3=21÷3

c=7

age of cousin =7

There are two boards, a and b. The total length of both is 28 feet. Board b is at least 5 feet longer than board a, but the difference is not more than 12 feet. What are the possible lengths of the two boards?

Answers

Answer:

Step-by-step explanation:

Let a represent the length of board a.

Let y represent the length of board b.

The total length of both is 28 feet. This means that

a + b = 28

Board b is at least 5 feet longer than board a. This means that

b ≥ a + 5

The difference between both boards is not more than 12 feet. This means that

b - a < 12

Substituting a = 28 - b into b ≥ a + 5, it becomes.

b ≥ 28 - b + 5

2b ≥ 28

b ≥33/2

b ≥ 16.5

16.5 - a < 12

4.5 < a

a > 4.5

The possible lengths of board a is

8 to 11.5 feet

The possible lengths of board b is

16.5 to 20 feet

the sales tax for a certain state can ne found ny multiplying the purchase price by 1/20 what is the sales.tax on an item that is 25.60 express your answer as a decimal

Answers

The salestax on an item that is 25.60 dollars is 1.325 dollars.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

There are two types of fractions one is a proper fraction and another one is an improper fraction.

In proper fractions, the numerator is smaller than the denominator and in improper fractions, the numerator is greater than the denominator.

Given, sales tax for a certain state can be found by multiplying the purchase price by 1/20.

∴ Sales tax on an item that is 25.60 is 25.60×1/20.

= 1.325 dollars.

learn more about fractions here :

brainly.com/question/10354322

#SPJ2

First, convert 1/20 to decimal form:
1/20 = 0.05
This means that the sales tax rate is 5%.
Multiply the cost of the item times 0.05 to get the amount of the sales tax:
25.60 * 0.05 = $1.28 sales tax

Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work up to 20 hours per week but must earn at least $150 per week. If t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? A.) t + b greater than or equal to 20 15t + 8b = 150

B.) t + b less than or equal to 20 15t + 8b greater than or equal to 150

C.) t + b less than or equal to 20 15t + 8b less than or equal to 150

D.) None of the systems shown represent this scenario.

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

Earning for tutoring per hour = 15$

Earning for bag boy per hour = 8$

We have Nick is only able to work up to 20 hours per week but must earn at least $150 per week and t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy.

Nick is only able to work up to 20 hours per week

t + b ≤ 20

But must earn at least $150 per week

15 t + 8 b ≥ 150

Option B is the correct answer.

The answer is B.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

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