angle1,2 , and angle3 form a straight line. If m angle3 is six more than twice m angle1 m angle2 is 27 less than m angle3 find m angle2

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step-by-step explanation:

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.

4|x| - 1 < -4

we are given with absolute value inequality

lets make the absolute value alone

4|x| - 1 < -4

add 1 on both sides

4|x| - 1 +1 < -4 +1

4|x|   < -3

now divide by 4 on both sides

any absolute value cannot be negative.

absolute value function gives only the positive value.

so there is no solution for this problem.

there is no solution for this so its not possible to graph this inequality.