A recipe for trail mix calls for a ratio of 4 to 1 of M&M's to sunflower seeds by weight. How many ounces of sunflower seeds will there be in this mixture if there are 2 pounds of M&M's?
Answer:
The answer is below
Step-by-step explanation:
∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?
Solution:
Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).
m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:
m∠EFG + m∠GFH = 180°
3n + 21 + (2n + 34) = 180
3n + 2n + 21 + 34 = 180
5n + 55 = 180
5n = 125
n = 25
Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°
Answer:
perimeter of rectangles = 2 ( l + b)
34 = 2 ( x + 2 + 3x - 4 )
34 = 2 ( 4x - 2 )
34 = 8x - 4
38 = 8 x
38/ 8 = x
thus , x = 4.75 inches
