The diagram shows two triangles. In AGHI, GI = a, GH = b, and HI = va? + b?. In AJKL, KL = a, JL = b, JK = C, and mZILK = 90°.
a
G
b
b
с
a
H
Select all of the statements that are true.
mZHGI < 90°
HI = KL
The length of HI is the same as the length of JK.
GI is the hypotenuse of AGHI.

The moats separating people from the animals are 5 m wide for lions and 4 m wide for the elephants. if the lion’s moat is 4 m deep, how deep should the elephants’ moat be?

Which set of lengths could represent the sides of a triangle? a. 3, 7, 10 b. 4, 5, 10 c. 6, 8, 14 d. 12, 6, 7

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.