Answer: 
<u>Step-by-step explanation:</u>
Note the following identities: tan² x = sec²x - 1

tan² x + sec x = 1
(sec² x -1) + sec x = 1
sec² x + sec x - 2 = 0
(sec x + 2)(sec x - 1) = 0
sec x + 2 = 0 sec x - 1 = 0
sec x = -2 sec x = 1

Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.
Answer:
hope that it helps you any
Step-by-step explanation:
first hour she drove 60mi
second hour she drove 50mi
third hour she drove 70mi
fourth hour she drove 20mi
fifth hour she drove 75mi
all together she drove 275miles
take 275 divide it by 5 you get an average of 55mph
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.
The first equation can be graphed using the y-intercept of -1 and the slope of 2.
The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.
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The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.
The solution is (x, y) = (3, 5).
Answer:
m∠H = 44°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary. So,
∠H and ∠G are supplementary
4x + 16 + 2x - 16 = 180
6x = 180
x = 30
m∠H = 2x - 16 = 2(30) - 16 = 60 - 16 = 44°