The length of the third side is about 7.81 inches and the perimeter of the triangle is about 18.81 inches
1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000
4(X+Y)+Y+2(Y+5)+6X
4X + 4Y + Y + 2Y + 10 + 6X
4X + 6X + 4Y + Y + 2Y + 10
10X + 7Y + 10
Answer:
2x = 120°, x = 60°, y = 60°
Step-by-step explanation:
2x + x = 180° (eternal angles in a parrallel lines add up to 180°)
3x = 180. divide by 3 in both sides.
x = 60
therefore:
2x = 2(60) = 120°
x = 60°
y = x (crossponding).
if x = 60°, then y = 60°
Done :D
