Answer:
<em>The total number of games is </em><em>40.</em>
Step-by-step explanation:
Let us assume the total number of games played is x.
So 80% of total number of games is,


As it is given as 32, so




Therefore, the total number of games is 40
Answer:
The line passes through (1,1) and (3,2). Therefore, its equation is

- The angles are supplementary angles
- The measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Find the diagram attached. From the figure, the sum of the angles m<1 and m<2 are supplementary
Given the following angles
m<1 = 2x + 6
m<2 = 3x + 9
Since both angles are supplementary, hence;
2x + 6 + 3x + 9 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Get the measure of m<1;
m<1 = 2x + 6
m<1 = 2(33) + 6
m<1 = 66 + 6
m<1 = 72degrees
Get the measure of m<2:
m<2 = 180 - m<1
m<2 = 180 - 72
m<2 = 108degrees
Hence the measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Learn more here: brainly.com/question/22309882
Answer: 1 hour
Step-by-step explanation:
Let the distance they walked be
in time
and the distance they walked be
in time
,then
Walking speed=

Riding speed=

Also the total time taken=3 hours
∴
...(1)
Since the total distance= 20 km
∴![d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1](https://tex.z-dn.net/?f=d_1%2Bd_2%3D20%5C%5C%5CRightarrow4t_1%2B12t_2%3D20%5C%5C%5CRightarrow4t_1%2B12%283-t_1%29%3D20..............%5B%5Ctext%7Bfrom%20%281%29%7D%5D%5C%5C%5CRightarrow4t_1%2B36-12t_1%3D20%5C%5C%5CRightarrow-8t_1%3D-8%5C%5C%5CRightarrow%5C%20t_1%3D1)
Thus, the they spent 1 hour time in walking.