Given:
The graph of a line which represents position (m) at time (s).
To find:
The slope of the line.
Solution:
Formula for slope:

From the given graph it is clear that the line passes through two points (0,0) and (1,4).
Using the above formula, we get



Therefore, the slope of the line is 4 m/s.
Answer:
They are going away from each other.
So add up their speed.
combined speed = x+x-16
=2x-16
Time = 2 hours
Distance = 400 miles
Distance = speed * time
(2x-16)* 2
4x-32=400
4x=400+32
4x=432
/12
x=108 mph west bound
east bound = 108 -16 = 92 mph
Answer:
a) 83
b) mean and mode are both 83
Step-by-step explanation:
a) mean is the average. so add all the numbers and divide by the number of numbers.
<u>88 + 73 + 81 + 83 + 79 + 94 + T</u> = 83
7
b) median - put the numbers in numerical order, smallest to largest, what is the middle number (4th number) 73, 79, 81, 83, 83, 88, 94
mode - which number shows up most frequently?
Where’s the rest of the question?
Answer:
- ∠CDE ↔ 50°
- ∠FEG ↔ 75°
- ∠ACB ↔ 55°
Step-by-step explanation:
To solve angle problems like this, you make use of three relations:
- linear angles have a sum of 180°
- angles in a triangle have a sum of 180°
- vertical angles have the same measure
The attached diagram shows the measures of all of the angles of interest in the figure. The ones shown in blue are the ones that have the measures and names on the list of answer choices.
__
A good place to start is with the linear angle pair at A. Since the sum of the two angles is 180°, the angle at A that is inside the triangle will be ...
180° -130° = 50°
Then the missing angle in that triangle at C will have the measure that makes the sum of triangle angles be 180°:
∠ACB = 180° -50° -75° = 55° . . . . . this is one of the angles on your list
Similarly, the angle at E inside triangle FEG will have a measure that makes those angles have a sum of 180°:
∠FEG = 180° -60° -45° = 75° . . . . . this is one of the angles on your list
__
The two angles whose measures we just found are vertical angles with the base angles in triangle CDE, so that triangle's angle D will have a measure that makes the total be 180°.
∠CDE = 180° -55° -75° = 50° . . . . . this is one of the angles on your list