Answer:
x = 7
Step-by-step explanation:
A triangle's total interior angle measurement will equal 180°.
Set all measurements equal to 180:
(82) + (9x - 6) + (6x - 1) = 180
Simplify. Combine like terms:
(82 - 6 - 1) + (9x + 6x) = 180
(82 - 7) + (15x) = 180
(75) + 15x = 180
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
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First, Subtract 75 from both sides of the equation:
15x + 75 = 180
15x + 75 (-75) = 180 (-75)
15x = 180 - 75
15x = 105
Next, divide 15 from both sides of the equation:
(15x)/15 = (105)/15
x = 105/15
x = 7
7 is your value for x.
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Answer:
So a bag of chip costs $2.39
Step-by-step explanation:
Let x = cost of a bag of chip
Let y = cost of a box of pretzel
Micheal buys two bags of chips and three boxes of pretzels for $5.13
This means
2x + 3y = 5.13 - - - - - - - - - -1
He then buys another bag of chips and 2 boxes of pretzels for $3.09
This means
x + 2y = 3.09 - - - - - - - - - - - -2
Solving equation 1 and equation 2 simultaneously and using the elimination method,
Multiply equation 1 by 1 and equation 2 by 2
2x + 3y = 5.13
2x + 6y = 6.18
Subtracting,
-3y = -1.05
y = -1.05/-3= $0.35
Put y= 0.35 in equation, x + 2y = 3.09
x + 2(0.35)= 3.09
x + 0.7= 3.09
x = 3.09-0.7 = $ 2.39
So a bag of chip costs $2.39
Step-by-step explanation:
11/12-?=2/3
11/12-2/3=?
11-8/12=?
3/12
=1/4
Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
