The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°
Given m∠P = 40°
We know that : Sum of Angles in a Triangle = 180°
⇒ m∠P + m∠M + m∠O = 180°
⇒ 40° + 90° + m∠O = 180°
⇒ 130° + m∠O = 180°
⇒ m∠O = 180° - 130°
⇒ m∠O = 50°
We can notice that m∠O and m∠1 form a Linear Pair (180°)
⇒ m∠O + m∠1 = 180°
⇒ 50° + m∠1 = 180°
⇒ m∠1 = 180° - 50°
⇒ m∠1 = 130°
Last Option is the Answer
7 different ways is the answer
Answer:
See explanation
Step-by-step explanation:
Dinosaur Discovery show = 8 friends
Wild Weather show = 4 friends
Cost of Dinosaur Discovery show = $d
Cost of Wild Weather show = $w
At regular price:
Total cost of his friends' tickets = 8 * d + 4 * w
= 8d + 4w
At half price
Total cost of his friends' tickets =
8 * 1/2d + 4 * 1/2w
= 8/2d + 4/2w
= 4d + 2w
Total cost of his friends' tickets = 4d + 2w
We know that speed * time = distance
Before we start we need to make sure the units for all three numbers are right
The time is 1/3 of a hour, 1/3*60 = 20 minutes
x * 20 = 22.5
x *2 * 10 = 22.5
2x = 2.25
x = 1.125
Answer: area is 286.16 ft²
Step-by-step explanation:
Length of the sand pit is 29.2 feet and the width is 9.8 feet.
L= 29.2 ft
W = 9.8 ft
To find out the area, all we have to do is multiply the lenght by the width:
And do not forget that to calculate the area, all units must be the same and for the area, it is always the unit squared, in this case, feet square or simply (ft²).
A = l*w
A = 29.2 * 9.8 = 286.16 ft²