Answer:
m ∠JPN = 131°
Step-by-step explanation:
m ∠JPL = m ∠MPK Vertical angles are =
7x + 19 = 11x -17 Substitution
- 4x = -36 Algebra: Solving for x
x = 9 Algebra: Solving for x
m ∠JPL = 82° Substitution x = 9 into m ∠JPL = 7x +19
m ∠JPL + m ∠LPK = 180° Definition of linear pair/supplement
angles = 180°
82° + m ∠LPK = 180° Substitution
m ∠LPK = 98° Algebra
m ∠LPK = m ∠LPN + m ∠NPK Angle addition Theorem
PN bisects ∠LPK Given
m ∠LPN = m ∠NPK Definition of angle bisector
98 ° = 2 ( m ∠LPN) Substitution
m ∠LPN = 49° Algebra
m ∠JPN = m ∠JPL + m ∠LPN Angle Addition
m ∠JPN = 82° + 49° Substitution
m ∠JPN = 131° Addition
The equation is: 
and Julianne will begin making a profit after 168 days.
<em><u>Explanation</u></em>
Her total start-up cost is $52,000.
Each day, she spends $650 on operating costs (like utilities and wages) and she earns $960 per day from her students' lesson fees.
If the number of days to overcome the start-up cost is 
, then
the total operation cost spent in days 
and
the total students' lesson fees earned in days 
<em><u>Part A:</u></em> The equation to represent the situation will be:
<u><em>Part B:</em></u><em> </em><em> </em>Julianne will begin making a profit when....
So, Julianne will begin making a profit after 168 days.
Answer:
He sold 100 rackets for $ 20
Step-by-step explanation:
To start, we have to make 2 equations, one that represents the number of rackets and the other the money
x + y = 500
x * 20 + y * 45 = 20000
we clear x in the first equation
x + y = 500
x = 500 - y
we replace x in the second equation with (500 - y)
x * 20 + y * 45 = 20000
(500 - y) * 20 + y * 45 = 20000
10000 - 20y + 45y = 20000
-20y + 45y = 20000 - 10000
25y = 10000
y = 10000/25
y = 400
we replace x in the first equation with the value obtained
x = 500 - y
x = 500 - 400
x = 100
He sold 100 rackets for $ 20
Answer:
The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.
Step-by-step explanation:
