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
Answer:
6
Step-by-step explanation:
This is a right triangle, and so the Pythagorean Theorem applies. The legs of this triangle are 3√3 and 3; squaring these gives us 9(3) = 27 and 9. Then, this Theorem gives us the length of the hypotenuse as
h^2 = 27 + 9, or h^2 = 36, so that h, the length of the hypotenuse, must be 6.
Answer:
-3/4 is the slope.
Step-by-step explanation:
Use this formula to find slope.
y2-y1/x2-x1
PLUG IN
-2 -1/2- (-2) = -3/4
The slope is -3/4
Answer:
Kevin has 5 black kittens.
Step-by-step explanation:
Anna only has four kittens and two are black which makes it half of her litter. So we would do the same with Kevin. Since he has ten kittens half of them would be black.
Given:$75
25 hours
Painting USA : Fixed cost: $75 ; Variable Cost: $25x
Total Cost = 75 + 25(25) = 75 + 625 = 700
Upscale Home Painting: No Fixed Cost ; Variable Cost : $40x
Total Cost = 40(25) = 1,000
The most cost effective company will be Painting USA whose charge will amount to $700.
