In the figure below, angle y and angle x form vertical angles. angle y forms a straight line with the 60° angle and the 70° angle.

a straight line is shown and is marked with three angles. the first angle measures 60 degrees. the second angle measures 60 degrees. the third angle is labeled y. the line between the 70 degree angle and angle y extends below the straight line. the angle formed is labeled angle x.

write and solve an equation to determine the measure of angle x. (5 points)

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.