Answer:
Pythagorean theorem 
Step-by-step explanation:

Answer:
7 steps.
Step-by-step explanation:
Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.
9-1 = 8 steps left
The monkey jumps 3 steps down
8-3= 5 steps
Then jumps 2 steps up
5 + 2 = 7 steps
The monkey has 7 more steps until he reaches the water level.
AD || BC and BD is the transversal,
Therefore, angle DBC = angle ADB = 42° [alternate angles]
AD || BC and BD is the transversal,
angle BAD + angle ABD + angle DBC = 180° [co-interior angles]
or, 106°+ angle ABD + 42° = 180°
or, 148° + angle ABD = 180°
or, angle ABD = 180°-148° = 32°
Therefore, angle ABC = (32+42)° = 74°
AB||CD and BC is the transversal,
angle ABC + angle BCD = 180° [co-interior angles]
or, 72+2x+12 = 180
or, 84+2x = 180
or, 2x=180-84 = 96
or, x = 48
Answers: a)48°
b)42°
c)72°
Answer:
a = 12m
Step-by-step explanation:
In order to solve this problem we will need to know the Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse (the side opposite to the right angel) is equal to the sum of the squares of the other two sides. This theorem can be written as an equation....

Now we can see that we can easily find the missing value by using this theorem. We just have to substitute the values. And we get the following






