Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35
Answer:
42
Step-by-step explanation:
Based on the information given, point j is the midpoint, as it is shared by both line segments. Set the equation:
pb = pj + jb
Note:
pj = 14
jb = 28
Plug in the corresponding numbers to the corresponding variables:
pb = pj + jb
pb = 14 + 28
pb = 42
pb = 42 is your answer.
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If you would like to know what is the solution of the inequality x/3 > 1, you can calculate this using the following step:
x/3 > 1 /*3
x > 1 * 3
x > 3
The correct result would be x > 3.
Answer:
(f+g)(x) = 13x + 3
Step-by-step explanation:
Rewrite f(x)=2x+7 and g(x)=11x-4 in columns, as follows:
f(x)=2x+7
+g(x)=11x-4
----------------
Now add each column separately.
f(x)+g(x) = (f+g)(x) ("the sum of functions f and g")
2x + 11x = 13x, and, finally, 7-4 = 3.
Therefore,
f(x)=2x+7
+g(x)=11x-4
----------------
(f+g)(x) = 13x + 3
