The diagram of the pentagon is missing, so i have attached it.
Answer:
|AE| = 130 m
|DE| = 150 m
Perimeter of pentagon = 720 m
Step-by-step explanation:
From the diagram, we can find AE from pythagoras theorem;
|AE| = √(|AA'|² + 50²)
Where AA' is the length from A to the perpendicular angle.
Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30
AA' = AB - A'B = 150 - 30
AA' = 120
Thus;
|AE| = √(120² + 50²)
|AE| = √(14400 + 2500)
|AE| = √16900
|AE| = 130
Similarly,
|DE| = √(|DD'|² + |ED'|²)
ED' = BC - 50
ED' = 140 - 50
ED' = 90
Also, DD' is parallel to AA' and is = 120
Thus;
|DE| = √(120² + 90²)
|DE| = √22500
|DE| = 150
Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720
Answer: The third one is the correct answer.
Step-by-step explanation: If you do the count, you will see that the number of goats added five times is equal to the number of cows.
The whole 12 weeks she will make $2,172.
Her employer takes $421.2 for federal income tax. Her employer takes $174.1 for Social Security. Her employer takes $40.7 for Medicare. She makes $181 a week.
2(3x+7)+x=70
mutiply the bracket by 2
(2)(3x)(2)(7)+x= 70
6x+14+x= 70
6x+x+14= 70 ( combine like terms)
7x+14= 70
move 14 to the other side
sign changes from +14 to -14
7x+14-14=70-14
7x= 56
divide both sides by 7
7x/7= 56/7
x=8
Answer: x= 8
Answer:
The square–cube law (or cube – square law) is a mathematical theory, implemented in a number of scientific contexts, which defines the relationship between the volume and the surface area as a shape 's size increases or decreases.
Hope this helps!
