What is the value of x?

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x =

Angles are 100° and 80°

Step-by-step explanation:

The Sum of angles on a line are 180°

We have two angle on the line i.e

Obtuse angle=°  and

Acute angle =°

So

Putting the value of 'x' in both the angles

Obtuse angle = °  = 10(12)-20=  100°

Acute angle=  ° = 6(12)+8= 80°

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is