In the diagram above

140

Step-by-step explanation:

First you have to solve for x

20x + 60 = 30x + 20

so you would subtract 20x from both sides

60 = 10x + 20

then subtract 20 from both sides

40 = 10x

then divide both sides by 10

4 = x

then you would put 4 in for x in the equation for angle 1

20(4) + 60

80 + 60

140

angle 1=20(4)+60=140 degrees

Step-by-step explanation:

theory : If two parallel lines are cut by a transversal, the corresponding angles are congruent.

so angle 1 and angle 3 are equal:

20x+60=30x+20

60-20=30x-20x

40=10x

x=40/10=4

angle 1 = 20(x)+60

angle 1=20(4)+60=140 degrees

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i