The third option I believe
M<GJI=(x+60)°=?
We need to find x. The angle GJI and FJH are opposite by the the vertex, then they must be congruents:
(x+60)°=(5x)°
x+60=5x
Solving for x
x+60-x=5x-x
60=4x
60/4=4x/4
15=x
x=15
Replacing x by 15 in m<GJI:
m<GJI=(x+60)°=(15+60)°→m<GJI=75°
Answer: Option b. 75
The customer gives you:
-- a ticket worth . . . . . . 5
-- a ticket worth. . . . . . . 2
-- a bill. . . . . . . . . . . . 100
------------------------
-- Total. . . . . . . . . . . . 107
You give the customer:
-- gas worth . . . . . . . . 17.01
-- a ticket worth . . . . . . 5
-- two $1 tickets worth . 2
-- a ticket worth . . . . . . 3
------------------------------
-- Total . . . . . . . . . . . . 27.01
In order to make the trade even, you owe the customer
(107.00 - 27.01) = <em>$79.99 more
</em><em>
</em>You could give it to him in the form of some combination of magazines,
soda, cigarettes, gum, newspapers, motor oil, car deodorizers, candy
bars, washer fluid, anti-freeze, etc. But he'd be there all day trying to
decide what he wants and making it all add up to exactly $79.99, and
there's a long line of other customers waiting behind him.
That's the beauty of cash money. You can count out exactly the proper
amount, it only takes a few seconds and bada-bing, he's out of there and
back on the road.
Answer:
Negative: (-∞,-3] and [1/2,-∞)
Positive: [-3,1/2]
Step-by-step explanation:
The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.
