Answer:
x = 7
Step-by-step explanation:
Notice that in the triangle, the angle is either known or in terms of x. This means we can make an equation: 82 + (9x - 6) + (6x - 1) = 180. Now, add up tthe terms to get 15x + 75 = 180, or 15x = 105 or x = 7.
Answer:
The answer is:
30 minutes.
Step-by-step explanation:
We are given the following information:
at 160 m/min, tool life = 5 min.
at 120 m/min, tool life = 17 min.
This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:
speed = 160 - 120 = 40 m/min
tool life = 17 - 5 = 12 min.
Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.
40 m/min = 12 min
∴ 1 m/min = 12/40 min.
∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.
Answer:
Point form: (1,-2)
Equation form: x=1 y= -2
Step-by-step explanation:
Hope it helps
Answer:
B
Step-by-step explanation:
Using a graphing calculator, the graph shows an almost parabola like shape between 0 and 12
Plus if the width was equal or greater than twelve we would have a 0 or even negative volume which is impossible
Answer:
44
Step-by-step explanation:
1) we know that opposite sides of a parallelogram are congruent so
4x+28=10x+4
2) subtract 4 on both sides
4x+24=10x
3)subtract 4x on both sides
24=6x
4)divide by 6 on both sides
4=x
5)substitute for x
length of RS =10(4)+4
length of RD=44
