Answer:
<h2>x = 14, z = 65</h2>
Step-by-step explanation:
The angles (5x - 5)° and (6x + 31)° are supplementary angles.
Supplementary Angles add up to 180°.
Therefore we have the equation:
5x - 5 + 6x + 31 = 180 <em>combine like terms</em>
(5x + 6x) + (-5 + 31) = 180
11x + 26 = 180 <em>subtract 26 from both sides</em>
11x = 154 <em>divide both sides by 11</em>
x = 14
The angles (5x - 5)° and z° are vertical angles.
Vertical angles are congruent.
Therefore we have the equation:
z = 5x - 5 <em>put x = 14 to the equation</em>
z = 5(14) - 5
z = 70 - 5
z = 65
Answer:
x=7
Step-by-step explanation:
ln x +ln(x+1)=ln 56
ln x(x+1)=ln 56
so x(x+1)=56
x^2+x-56=0
(x+8)(x-7)=0
x= -8 or x=7
and lnx,x>0
so x=7
Answer:
t = -d/50 + 2
0.5 hour
Step-by-step explanation:
Given the equation:
d = 50 - 100t
The inverse function:
A.) solving for t
d = 100 - 50t
d - 100 = - 50t
Divide both sides by - 50
d/-50 - (100/-50) = - 50t/-50
-d/50 - (-2) = t
t = -d/50 + 2
B) using the inverse function:
t = -d/50 + 2
Miles driven (d) = 75, find time (t)
t = - 75/50 + 2
t = - 1.5 + 2
t = 0.5
t is in hours, therefore time left to travel is 0.5 hours or 30 minutes
D because they all increase by the same number (+1)
