Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
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<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
all work for both worksheets are pictured and shown
Step-by-step explanation:
worksheet 2
28. 968/22=44
29. 27+8=35
30. 39×37=-1443
Answer:
The roots are 0, 3 and 4.
Step-by-step explanation:
x^3-7x^2-12x = 0 Take out x:
x(x^2 - 7x - 12) = 0 Factor the expression in the brackets:
x(x - 3)(x - 4) = 0
x = 0 or x - 3 = 0 or x - 4 = 0, so
The roots are 0, 3 and 4.
