Hey there Bfarrar07 !
This is pretty simple when you think about it.
With algebra problems like this, you want to set it equal to zero.
So your first step is to take 35x + 10 and set it equal to zero.
35x + 10 = 0
Then bring the 10 to the other side by subtracting it, so you have something like this:
35x + 10 (-10) = -10 (Remember, what you do to one side you have to do to the other!) So when you take 10 from the left, you have to take ten from the right.
You now have 35x = -10
In order to get x by itself, you need to divide the problem by 35.
35x/35 = -10/35
On the left hand side, the 35's cancel out, so you're left with x.
And on the right hand side you have -10/35
So x = -10/35 (Don't forget to simplify!)
-10/35 can be reduced to -5/7
X = - 5/7
Hope this helps!
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:
n=-8.86
Step-by-step explanation:
Slope will determine the direction and the steepness of a function. It could be either increasing/decreasing depend on minus or plus. The formula for slope is
m= (y2-y1)/ (x2-x1)
If you add (n,-6) and (-9,-4) to the equation, it will be:
m= (y2-y1)/ (x2-x1)
-15= (-6--4)/ (n--9)
-15= (-2)/ (n+9)
-15(n+9) = -2
-15n - 135=-2
-15n= -2 + 135
n= -133/15
n= -8 13/15= -8.86
Set the equation up as a proportion, where x = the height of the tree in feet
27/x = 4.5/5
cross multiply
(4.5)(x) = (27)(5)
(4.5)(x) = 135
divide the entire equation by 4.5 to isolate x
135/4.5 = 30
x = 30
the tree is 30 ft tall
Answer:
1/12
Step-by-step explanation:
there is 1/2 chance of flipping heads and 1/6 chance of rolling a six
1/2*1/6=1/12
