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:
141
Step-by-step explanation:
CD = | 4-(-2)| = 6
DB = |3-(-7)| = 10
area of a right triangle
A = (leg 1 x leg2)/2 = (6 x 10)/2 = 30
EB = |3-(-3)| = 6
EF = |-8-(-2)| = 6
area of a square = side^2
A = 6^2 = 36
segment G(and a point with same x coordinate of H)
|8-3| = 5
segment H(and the same point)
|-10-(-8)| = 2
A = (5x2)/2 = 5
segment I(and the same point)
|-8-6| = 14
Area of a rectangle
A = base x width
A = (5 x 14) = 70
total area = 70 + 5 + 36 + 30 = 141
Answer:
B. 4,1
Step-by-step explanation:
Step-by-step explanation:
y=kx
say that y is the original prince and x is the sale price
15=k(10)
15/10=k
3/2=k
you can check with the next problem to check if it is the same
25=k(20)
25/20=k
5/4=k
so you take 5/4-3/2=-1/4 so the constant is -1/4
Hope that helps :)
Answer:
97.75
Step-by-step explanation:
15% of 85 is 12.75
12.75 + 85 = 97.75
Hope this helps have a nice day