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:
<h3>31</h3>
Step-by-step explanation:
<h3>Let the other part be x.</h3>
<h3>Now,</h3><h3 /><h3>24:x=3:4</h3>
<h3>3x=96</h3><h3 /><h3>X = 96/3 = 32</h3>
<h3>1</h3>
<h3>Other part = 32</h3>
<h2>mark me brainlist!</h2>
Answer: 18
Step-by-step explanation:
Area of triangle = (0.5) × base(b) × height(h)
Base of triangle = 8
Height of triangle = 15
Area of triangle = (0.5) × 8 × 15 = 60
Volume of triangular prism = B × height
Where h = height
B = area of triangle
Volume of triangular prism = 1080
Find the height(h) of the triangular prism
Volume of triangular prism = B × height
1080 = 60 × h
h = 1080 / 60
h = 18
Answer:
Step-by-step explanation:
First, in order to get rid of the parenthesis, you need to multiply 2.5 with whatever is in the parenthesis.
Multiply 2.5 on each side of the equation like this:
(12.75 x 2.5) (24.50 x 2.5) =188.75
Once you're finished, you should get 61.25 and 31.875x =188.75
Now in order to find 'x' you will need to subtract 61.25 to each side of the equation like this:
61.25 - 61.25 = 0
188.75 - 61.25 = 127.5
So now your equation should look like this:
31.875x = 127.5
You have to divide 31.875 by each side now.
Once you divide them, your final answer should be 4.
so x = 4.
I really hope this helps! ^^
Answer:
It is 83.35 Unless your rounding up then it is 84 dollars
Step-by-step explanation:
