The sum of the measures of the interior angles of a triangle is equal to _____.
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Proportions in Triangles (5)
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Answer: x = 28, y = 47
**Remember, these are just the values of the variables, not the angle measures. In order to find the angle measures, you need to plug these in. **
Step-by-step explanation:
Finding x
40+5x=180
Subtract 40 from both sides --> 5x=140
Divide by 5 --> x=28
In order to find y, you need the angle to the left of the 40 degrees. (180-40) which is 140. Because the (3y-1) and 140 are across from one another, they are equal, so we set them equal, then get y alone.
3y-1 = 140
(add 1 to both sides) 3y = 141
(divide by 3) y = 47
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let the longer piece be y and shorter piece be x
now,
according to the question,
x+y=19 .............................equation (1)
y=4+2x ...............................equation (2)
from equation 1
x+y=19
x+4+2x=19 substituting the value of y from equation 2
3x=19-4
x=(19-4)/3
x=5
now
substituting value of x in equation (2)
y=4+2(5)
y=4+10
y=14
so , the longer piece is 14 foot and the shorter piece is 5 foot
Final answer:
The shorter piece of string is 5 feet long and the longer piece is 14 feet long. These lengths were determined by setting up and solving an equation based on the given facts.
Explanation:
In this problem, we need to find the lengths of two sections of a 19-foot piece of stringthat was split such that the longer piece is 4 feet longer than twice the length of the shorter one. Let's denote the length of the shorter piece as 'x'. Thus, the longer piece of string is 2x+4 (twice the length of the shorter piece, plus an additional 4 feet).
Next, we set up an equation based on the information given: the sum of the lengths of the shorter and the longer sections of string equals 19 feet, so x + (2x+4) = 19. Simplify the equation to 3x + 4 = 19, subtract 4 from both sides to give 3x = 15, and then divide by 3 to solve for x, the length of the shorter piece, which is 5 feet. Therefore, the longer piece, by substituting x=5 in 2x+4, is 14 feet.
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The correct answer for how many individual eggs were sold is 36,000.
To find the number of Individual eggs sold, calculate total number of eggs in 3,000 dozen.
What is Dozen?
A dozen is a term used when to group a total of 12 items together.
The items can be of any category like 12 fruits, 12 pencils.
One dozen = 12.
In given question, The item sold is eggs.
To find the total number of eggs, multiply the dozen eggs sold by 12.
Number of dozen eggs sold = 3,000.
Total number of Individual eggs sold is:
= 3000 dozen × 12 eggs/dozen.
= 36,000.
The count of individual eggs sold is 36,000.
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If a chicken farm sold 3,000 dozen eggs last week, how many individual eggs were sold? there would be thirty six thousand eggs sold individually
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Answer:
61.5 Feet of Rope
Step-by-step explanation:
Divide the rope length, 861 feet, by 14 people.
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