In the above quadrilateral ABCD, AD || EF || BC and
|AE| = 2 EB, BM = 4, |AD = 6, BC| =
, 9
Then DO

The length of segment is .

Step-by-step explanation:

Start by verifying that , and that .

Both and contain the angle . Hence, another pair of equal angles will be sufficient to prove by the angle-angle similarity postulate.

Notice that because , the corresponding angles next to those two lines would be equal: . Both is in whereas is in .

Hence, by the angle-angle similarity postulate.

Notice how in and in are two vertically opposite angles (and are thus equal to one another.) That is: .

Because , the alternate interior angles and are also equal to one another. That is:

Hence, , also by the angle-angle similarity postulate.

Notice that implies that:.

Therefore:

.

Similarly, implies that:

.

Therefore, .

.

It was already found that . Therefore:

.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

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