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
<span>2 5/8 inches by 1 5/16 inches
If the conversion is just feet to inches, just replace the feet with inches </span>
Answer:
98
Step-by-step explanation:
Answer:
We conclude that:
Hence, option B is correct.
Step-by-step explanation:
Given the expression
solving
Scalar Multiplication: Multiply each of the matrix elements by a scalar
Simplify each element
Therefore, we conclude that:
Hence, option B is correct.
Answer:
-5a -16
Step-by-step explanation:
-6 + 5a - 6a - 10 - 4a
=5a -6a -4a -10 -6
= -5a -16
