Step-by-step explanation:
We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°
To find y we know that the sum of interior angles of a triangle is 180°
y+109°+33°=180°
y+142°=180°
y=38°
Now,
x+38°+z=180
33+38+z=180
z=180-71=109°
Answer:
There are 360 possible different routes.
Step-by-step explanation:
Among the 4 locations, different orders are different routes, so the order is important.
This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different routes are possible?
4 locations from a set of 6. So
There are 360 possible different routes.
Two hundred fortyfour thousand three hundred six
Answer: 9
explanation: 4 + 5 = 9
Answer: 570.70 ft
Step-by-step explanation:
The perimeter is the distance around the entire parking lot.
The measurement of 150.23 ft by 135.12 ft is half of the distance of the lot because it represents just two sides yet there are 4 sides.
The other two sides have the same measurement as this is a rectangle.
The perimeter of the parking lot is:
= (150.23 * 2) + (135.12 * 2)
= 570.70 ft
