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:
(a) 1 inch of rider ⇒ 0.29 inches of frame
Step-by-step explanation:
The "slope" in the equation is the coefficient of the independent variable. Here, that variable is "h", and its coefficient is 0.29. That is, the height of the rider is multiplied by 0.29 (and a constant is added) in order to find the height of the frame.
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The meaning of the value 0.29 is that a 1 inch increase in the rider's height should result in a 0.29 inch increase in the height of the frame of the bike.
The question asks for an <em>explanation</em> of the slope, not its function in the equation. That is why we have chosen the first answer.
Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid = 
= 
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid = 
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet
<span>In
the fairest school 20% are below 16 years old
1/3 are teachers which is equals to = 21
Let’s start solving:
=> 1/3 of 100% = ( 100 / 3 = 33.33% )
thus 33.33% = 21
=> 21 x 3 = 63, is the total number of people in the school.
Let’s try solving the number of people below 16 years old
Then there are 20% of it:
=> 63 * .20 = 12.6
Thus, there are around 13 people who are 16 years old younger.</span>
