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:
D.
Step-by-step explanation:
The function shown on the graph is y = 5x - 6 and it is being comapred to y = 6x - 1. The function shown on the graph has a smaller rate of change because 5x < 6x. The starting point of the function shown on the graph is also lower since - 6 < - 1.
Slope = (y2-y1)/(x2-x1)
Points (-3,-3) and (0,3)
(3+3)/ (0+3) = 6/3 = 2
The slope is 2
Pretzels:2×200=400 200×1/2=100 100+400=500cups
Dry Cereal: 4×200=800 200×1/2=100 800+100=900cups
Peanuts:2×200=400 200×1/4=50 400+50=450cups
Raisins:200×3/4=150cups
Answer:
15°
Step-by-step explanation:
All angles in an equilateral triangle are equal.
Angle sum property of triangle = 180°
<1 + <2 + <3 = 180°
<1 = <2 = <3 = 60°
4y = 60
y = 60/4
y = 15°
