The sum of the interior angles of a triangle is always 180 degrees. Thus,
the sum of 31, x+4 and 3x+9 must be 180.
31 + x + 4 + 3x + 9 = 180, or 44 + 4x = 180
While it's not necessary, y ou could reduce this equation before solving for x:
11 + x = 45. Then x = 34 degrees.
The three angles are then:
31
34+4 = 38
3(34) + 9 = 111
Check: show that 31+38+111 = 180 (degrees)
Let's get the data out of the problem:
d = 38.4 km
t = 6 h
Now, we can apply in this equation and find his speed:
v = d / t
v = 38.4 / 6
v = 6.4 km/h
Joe has a speed of 6.4 km/h.
Hope it helps.
Answer:
0.2
Step-by-step explanation:
solution is down below
Answer:
The graph of
crosses the x-axis at (1,0) and (-4, 0). It touches the x-axis at (-5, 0).
Step-by-step explanation:
g(x):
.
There are three factors:
- (x - 1), where k = 1,
- (x - (-4)), where k = -4, and
- (x - (-5)), where k = -5.
The first and second factors are raised to odd powers. The graph will cross the x-axis at all these two points:
- (1, 0) as a result of the factor (x - 1),
- (-4, 0) as a result of the factor (x - (-4)).
The third factor is raised to an even power. The graph will touch the x-axis at that point.
- (-5, 0) as a result of the factor (x - (-5)).
A. 1
With only 11 students available in the group, and the committee needs 11 people,
11/11 = 1
A) 1 is your answer
hope this helps