Answer:
A
Step-by-step explanation:
9514 1404 393
Answer:
A
Step-by-step explanation:
Attached is a copy of the figure with some of the clutter removed. The congruent angles marked with a single arc, and the parallel lines are given.
The angles marked with a double arc are congruent because they are alternate interior angles where transversal XZ crosses parallel lines XW and YZ. Of course, side XZ is congruent to itself.
Hence we have two angles and a side not between them that are congruent. We can declare ∆XWZ ≅ ∆ZYX by the AAS postulate. (choice A)
D=vt
So they will travel downstream and upstream the same distance. Downstream they will travel:
d=(2+18)t1
Upstream they will travel:
u=(18-2)t2
Since d=u we can say:
20t1=16t2
We are told the trip lasts 3 hours so t1+t2=3, t2=3-t1, using this in the equation above we have:
20t1=16(3-t1)
20t1=48-16t1
36t1=48
t1=4/3 hours, and from earlier we saw that d=20t1 so:
d=20*4/3
d=80/3 miles
d=26 2/3 miles.
Angle G is congruent to only two angles in this problem: angle I and angle E.
Angle G is congruent to Angle I because they are vertical angles.
Angle G is congruent to Angle E because they are alternate interior angles.
Hope this helps!