Item 15 Question 1 An emperor penguin is 45 inches tall. It is 24 inches taller than a rockhopper penguin. Write and solve an equation to find the height h (in inches) of a rockhopper penguin. Is your answer reasonable? Explain.

h = 21inches; Yes, it is reasonable

Step-by-step explanation:

Let x represent the height of the emperor penguin which is 45inches i.e x=45inches

Let h be the height of a rockhopper penguin.

If emperor penguin is 24inches taller than rock hopper penguin, mathematically;

x = h+24 (24inches taller than rock hopper)

Since x = 45, we will substitute it into the equation generated to have;

45 = h+24

h = 45-24

h = 21inches

This means that rock hopper penguin is 21inches tall.

Yes, the answer is reasonable since emperor penguin is taller than rockhopper penguin therefore the height value of emperor penguin will be higher than that of rockhopper penguin by 24inches.

angle addition postulate

2x=56

step-by-step explanation: