Average speed = Distance/ time
Distance = 180 mi
Time = time(final) - time(initial)
To find time will be easier if we translate am and pm into 24 h scale.
am will stay the same, so 10:30 am is 10:30. (initial)
pm will be turned (am time + 12), 3: 00 pm = 3:00 +12 =15:00 (final)
Time = time(final) - time(initial)= 15:00 - 10:30 = 14:60 - 10:30 =4h 30 min
4h + 30 min = 4h + 1/2 h= 4.5 h (time)
Average speed = Distance/ time = 180 mi / 4.5 h = 40 mi/h
Answer is 40 mi/h.
Answer:- B) No; they do not have congruent corresponding angles.
Explanation:-
In ΔGHI ,
∠G=46° and ∠I=27°
By angle sum property,
∠G+∠H+∠I=180°
⇒∠I=180°-∠G-∠H
⇒∠I=180°-46°-27°= 107°
In Δ JKL
∠K=108°and ∠L=27°
By angle sum property of triangles,
∠J+∠K+∠L=180°
⇒∠J=180°-∠L-∠K
⇒∠J=180°-27°-108°
⇒∠J=45°
Now we can see that there is only one pair of congruent angles [not two] in both the triangles i.e.∠I≅∠L.
⇒ They do not follow AA similarity criteria.
Thus ,the given triangles are not similar because they do not have congruent corresponding angles.
Answer:
<h3>
A Geometric sequence with common ratio 3</h3>
Step-by-step explanation:
A sequence of number is called Geometric sequence if the first number is being multiplied with a constant to get the rest of the numbers
ratio between 2 adjacent numbers in a sequence will be a constant and is called common ratio.
in the given sequence the ratio between any pair of adjacent numbers is 3.
∵ this is a geometric sequence with common ratio 3
<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
