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Answer:
30 / 34 and 15/17 simplified.
Step-by-step explanation:
cos = adjacent / hypotenuse
adjacent is the (base) which is 30 and hypotenuse is the longest side which is 34
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:
3.5 Grams
Step-by-step
set 2grams/60lbs equal to xgrams/105
x representing the amount of medicine needed for a 105lb child
Then you divide 60 by 105.
60/105=1.75
Now you multiply 2 by 1.75.
2 x 1.75 = 3.5
3.5 is your answer because 105 is 1.75 times more lbs than 60lbs
meaning you would need 1.75 times the amount of 2grams
to determine the value of x, which is 3.5grams