X = 2
The absolute value lines basically just serve as parentheses in this equation.
(2-1)/(2-1) = 1
(1)/(1) = 1
x = # of ham sandwiches
14-x = # of turkey sandwiches ( as Lexi made 14 sandwiches)
as the question said that the number of ha sandwiches are 4 less than twice number of turkey sandwiches,
x = 2 * (14-x) - 4 = 24 - 2x
3x=24
x = 8
the number of ham sandwiches is 8, and the number of turkey sandwiches is 14-8=6
Answer: No, we don't have a right triangle
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Explanation:
If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.
Here we have a = 2, b = 5 and c = 7.
So...
a^2+b^2 = c^2
2^2+5^2 = 7^2
4+25 = 49
29 = 49
The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.
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In contrast, consider the classic 3-4-5 right triangle
a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).
Answer:
29
Step-by-step explanation:
(x+12) + 100 + x = 180
2x + 112 = 180
Subtract 112 from both sides
2x = 58
Divide 2 from both sides
x = 29