Answer:
#1 - Two complementary angles with measures that have a sum of 90.
#2- angles with a common vertex and side.
#3 - two supplementary angles with measures that have a sum of 180.
#4 - the region of a plane inside an angle
#5 - the region of a plane outside an angle
#6 - an angle with a measure of anything less than 90 degrees.
#7 - an angle with a measure of anything greater than 90 degrees.
These all should be right :)
Lmk how I did!
Answer:
Explanation:
19.
P = 2(x - 3 + 7x + 1)
= 2(8x - 2)
= 16x - 4
20.
P = 3y + 5 + y - 4 + 6y
= 10y + 1
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9
Answer:
-2/5
Step-by-step explanation:
The solution comes rom the formula for finding the slope of a graph: Rise/Run
In this case, the rise would be -2, because it is going down the graph 2 points. The run would be 5, because it is going to the right 5 points. Hopefully this will help you in the future.
Answer:
radical expression
Step-by-step explanation:
