Answer:
HEY
Step-by-step explanation:
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Regroup terms
2(x + 2) = 1
Divided both sides by 2
x + 2 = 1/2
Subtract 2 from both sides
x = 1/2 - 2
Simplify 1/2 - 2 to -3/2
<u>x = -3/2</u>
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
Answer: x = 10
Step-by-step explanation:
The sum of all interior angles in a polygon add up to 360°
Meaning to find X we grab those numbers/variables and make them equal to 360°. This will give us an equation.
106 + 94 + 135 + x + ( x + 5 ) = 360
335 + x + x + 5 = 360
340 + 2x = 360
subtract 340 from both sides
2x = 20
Divide by 2
x = 10
Now solve the angle equations to find their angle.
( 10 + 5 ) = 15
x = 10
Now to check if it's right add them together
106 + 94 + 15 + 10 + 135 = 360 ( ITS CORRECT )
