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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To find the volume of the prism, you need to know the length, height, and width.
since the length is 4 blocks wide, you can multiply 4 by the length of a single block. 4*1/2 = 4/2. do this for the height and width
Length 4/2
height 7/2
width 3/2
you would then multiply all of them together.
to multiply fractions, just multiply the numerators together and the numerators together
4/2*7/2*3/2 = 84/8
both 84 and 8 are divisible by 4 so you could simplify the fraction to 21/2
the answer is C
Answer:
length of the prism = 244 - (width x height) / width + height)
Step-by-step explanation:
Let length be a and width be b and height be c
2 (a * b) + 2 (b* c) + 2 (a * c) = 488
2ab+ 2bc + 2ac = 488
ab + bc + ac = 244
ab + ac = 244 - ac
a (b + c) = 244-ac
a = 244-bc / b + c
Therefore the length of the prism = 244 - (width x height) / width + height)
Answer:
#1)
Angle A = 30 degrees; 180 - 150 = 30
Angle B = 120 degrees; 180 - 60 = 120
#2)
Angle A = 65 degrees; 180 - 115 = 65
Angle B = 25 degrees; 180 - 155 = 25
3y+4+3y-y=-6
6y-y+4=-6
5y+4=-6
5y=-10
y=-2
If you have any questions let me know
