Angle g would be congruent/equal to itself because of verticals angles theorem. i hope that helped a bit
Answer:
A.
Step-by-step explanation:
We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:
Thus, the slope is -4.
Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:
Where (x1, y1) is a coordinate pair and m is the slope.
Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:
This is also slope-intercept form. The answer is A.
Answer:
7.39 ( nearest hundredth )
Step-by-step explanation:
Using the rule of logarithms
= n ⇔ x = 
Note that ln x represents 
x
given 6 + ln x = 8 ( subtract 6 from both sides )
ln x = 2 ⇒ x = 
≈ 7.39
Answer:
4,212 people
Step-by-step explanation:
We are given;
- Dimensions of the football field are 120 yards by 54 yards
- 26 players can fit in a box measuring 5 yards by 8 yards
We are required to determine the number of people that can fit in the football field.
- We are going to get the area of the field first;
Area = length × Width
Area of the field = 120 yards × 54 yards
= 6480 square yards
- Then we get the area of the box
Area of the box = 5 yards × 8 yards
= 40 square yards
- We then determine the number of boxes that can fit in the football field
Number of boxes = Area of the foot ball field ÷ Area of one box
= 6480 sq yards ÷ 40 sq yards
= 162 boxes
But, 26 people can fit in one box
Therefore,
Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box
That is, Number of people = 26 players × 162 boxes
= 4,212 people
Therefore, the number of people that can fit in the football field is 4,212 people.
1&15 and 3&5 are factors of 15
