Answer:
Part 1: 31x+25=180
part 2: x=5
Step-by-step explanation:
there are 180° on a straight line, which is the base/ bottom line of the traingle (indicated by the arrow on the end).
so, 180-151= 29
29° is the third angle on the traingle.
now, there are 180° in a triangle, therefore to find an equation for x:
29+20x-3+11x-1= 180 (adding up all the angles and making it equal to 180°)
now simplify this equation to get:
31x+25=180 (PART 1)
to find x simply solve the equation:
31x=180-25
31x= 155
x= 155/31
x=5 (PART 2)
Answer:
Step-by-step explanation:
circumference=2πr=6.28
r=6.28/2π=3.14/π=3.14/3.14=1
area=πr^2=π×1²=π=3.14 units²
Answer:
A and E
Step-by-step explanation:
The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).
It is not considered a function because it has the same input for every given output. This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.
The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values. Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.
Because it is not a function, Options B, C, and D are invalid answers.
Hence, the correct answers are Options A and E.
Answer:
16/25
Step-by-step explanation:
Given
Number of green marbles = 9
Number of White marbles = 17
Total number of marbles = 26
Probability of picking a white marble = 17/26
When a white marble is picked without replacement,
Probability of picking another white marble after first picking a white marble
= 16/25
= 0.64
This is because the total number of marbles would have reduced from 26 to 25 and the number of white marbles from 17 to 16.
80+70=150
270/150=1.8 hours before the two trains are 270 miles apart
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