Answer:
Smallest angle = 40
Step-by-step explanation:
Angle sum property:Sum of all three angles of triangle is 180
2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}
2x + 3x + 2x - 6 + 5 + 20 = 180
7x + 19 = 180 {Subtract 19 from both sides}
7x = 180 - 19
7x = 161 {Divide both sides by 7}
x = 161/7
x = 23
2x - 6 = 2*23 - 6 = 46 - 6 = 40
3x + 5 = 3*23 + 5 = 69 + 5 = 74
2x + 20 = 2*23 + 20 = 46 + 20 = 66
Smallest angle = 40
Answer:
Step-by-step explanation:
Given
Required
Write equation in slope intercept form
An equation in slope intercept form is:
Substitute values for m and b
Answer:
It’s 135
or 67.5
Step-by-step explanation:
Answer:
117.5 or 235/2
Step-by-step explanation:
We can set up an equation for this problem:
Lets Joe's weight be x
then:
2x -5 = 230
therefore:
2x = 235
x = 117.5 or 235/2
Distance to travel = 20 m.
Let us determine the time, t, that each participant took to complete 20 m.
Barbara:
Average speed = (3 m)/(2 s) = 1.5 m/s
t = 20/1.5 = 13.3 s
Mark:
t = 5 s
Carlos:
y = x + 1
where
y = 20 m
x = time, t
Therefore
t =x = y - 1 = 20 - 1 = 19 s
Summary:
Barbara: 13.3 s
Mark: 5 s
Carlos: 19 s
Answer:
The winner is Mark
