Here are two circles. Their centers are and . The first figure is a circle with center A and points E, C, B, and D lie on the circle. A line segment extends from A to point D and a second line segment extends from A to point C, where line segment AC is labeled 4 centimeters. A third line segment is extends from point E to point B, where line segment EB goes through point A. The second figure is a circle with center F and points H and G lie on the circle. A line segment is extends from point H to point G where line segment HG goes through point F and is labeled 8 centimeters.

What is the length of segment ?

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

x = 12

y = 1

for the 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