Answer: A) AAS
Step-by-step explanation:
In the given picture we have two triangles ΔVUW and ΔXUY .
WV ≅ YX
∠UYX≅ ∠UYW
Also, it can be seen that ∠XUY and ∠VUW are vertical angles.
[When two lines intersects then they form two pair of angle known as vertical angles ]
Also, Vertical angles are always congruent.
⇒ ∠XUY ≅ ∠VUW
Now , in ΔXUY and ΔVUW, we have
WV ≅ YX
∠UYX≅ ∠UYW
∠XUY ≅ ∠VUW
So by AAS theorem , we have
ΔVUW ≅ ΔXUY
- AAS theorem says that if two angles and a side of a triangle are congruent to two angles and a side of another triangle then the triangles are said to be congruent.
Answer:
Return trip travel time: 7h
Step-by-step explanation:
Let d be the distance.
Index 1 refers to initial trip, index 2 refers to the return trip.
v1=70mi/h
v2=40mi/h
t2=t1+3h, or t1=t2-3h (travel times)
d=v1×t1=v2×t2
v1×(t2-3)=v2×t2
v1 t2 -3 v1=v2 t2
v1 t2 - v2 t2=3 v1
t2(v1-v2)=3v1
t2=3v1/(v1-v2)
Or
t2=3×70/(70-40)=3×70/30=7h
Easy it's like regular subtraction
-2 -2=-4 if it's the same sign you add
-2+4=2 different is subtract
Answer: 5.8%
Step-by-step explanation:
In this situation there is no replacement so we have to mulitply the probablilty of the first,second, and third marble being green. First marble has a 8/19 probablilty of being selected because 19 total marbles in the bag and 8 green marbles. the next marble will have a 7/18 probabililty because now only 18 marble are in the bag and we are assuming we selected a green marble on our first draw. Same thing with the last green marble it would be 6/17 because there would be 17 marbles in the bag and 6 green ones left assuming we got the first 2
so 8/19*7/18*6/17=
56/969=
0.05779
5.77%
5.8%
Answer:
1) unlikely 1/8 12.5%
2) equally likely 4/8 50%
3) likely 5/8 62.5%
4)impossible 0/10 0%
5) unlikely 3/8 37.5%
