Answer:
x = 5
Step-by-step explanation:
5x + 30 and 2x + 45 are alternate exterior angles and are congruent, thus
5x + 30 = 2x + 45 ( subtract 2x from both sides )
3x + 30 = 45 ( subtract 30 from both sides )
3x = 15 ( divide both sides by 3 )
x = 5
The equation that represents the new path is:
Step-by-step explanation:
Given path is:
We have to find the equation of a path that will be perpendicular to given path and will pass through point (4,-6)
So first of all we have to find the slope of given line
As the equation of path is in slope-intercept form, the coefficient of x will be the slope of the path
so
m = -4
As the product of slopes of two perpendicular lines is -1
Let m1 be the slope of required line
The slope-intercept form is:
Putting the value of m1
Putting the point (4,-6) in the equation
Putting the value of b
So,
The equation that represents the new path is:
Keywords: Equation of line, slope
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Answer:
$9,853
Step-by-step explanation:
18% of $8,350 is $1,503, so if the price increased by 18%, we must add $8,350 and $1,503, which would equal $9,853.
Answer:
0.5hrs
Step-by-step explanation:
Let the speed downhill be ,
Speed uphill is . We are told than speed uphill is the speed on flat ground. Therefore the speed on level ground will be .
From this info, we can obtain the actual speed, on level ground as:
speed, distance and time have the relation so to obtain time to cover 45miles:
Hence it takes 0.5hrs to cover 45miles on flat ground.
Answer:
Final answer is
Step-by-step explanation:
We have been given a table containing a list of few places that are either city or in North America.
Total number of places in that list = 7
That means sample space has 7 possible events.
Given that a place from this table is chosen at random. Let event A = The place is a city.
Now we need to find about what is .
That means find find the probability that chosen place is not a city.
there are 3 places in the list which are not city.
Hence favorable number of events = 3
Then required probability is given by favorable/total events.