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
~
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.
~
Area of a rectangle is the product of length times width. Thus, here we need the product of 8 1/2 inches by 11 inches.
One way of doing this follows: 8.5
8.5
----------
93.5 square inches
Rounding up, this comes out to 94 square inches.
Alternatively: 17 187
---- * 11 = ------- = 93.5 square inches; rounded, that's 94.
2 2
Answer:
What?
Step-by-step explanation:
(y+3)(y^2-3y+9)
=y(y^2-3y+9)
+3(y^2-3y+9)
=(y^3-3y^2+9y)+(3y^2-9y+27)
=y^3-3y^2+9y+3y^2-9y+27
=y^3+27
Answer:
50
Step-by-step explanation:
-2.5 × -20
negative multiply negative equals positive
(-) × (-) = (+)
so, the answer would be positive.
-2.5 × -20
= <u>5</u><u>0</u>
