Answer:It's 9.5 Miles I'm Not Sure About My Answer
Step-by-step explanation:
Answers:
x = 57
y = 86
z = 37
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Work Shown:
x+123 = 180 .... since x and 123 form a straight line
x = 180-123
x = 57
y = 86 since the y and 86 angles are vertical angles
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For any triangle, the three angles always add to 180. So,
x+y+z = 180
57+86+z = 180
143+z = 180
z = 180-143
z = 37
As a check,
x+y+z = 57+86+37 = 180
which confirms the value of z
Answer:
x = 
or 
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same amount of the same variable.
(2x + 3x) - 7 = 42
5x - 7 = 42
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 operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 7 to both sides of the equation:
5x - 7 (+ 7) = 42 (+ 7)
5x = 42 + 7
5x = 49
Next, divide 5 from both sides of the equation:
(5x)/5 = (49)/5
x = 49/5
x = 9.8
Yep, this one seems sneaky and confusing. But it's not so bad if you remember the things you learned about parallel lines. (It can't be too tough ... I learned them
in 1954 and I still know how to use them.)
Look at the picture. Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.
Did you learn that interior angles on the same side of the transversal are equal ?
I'm sure you did, although it may have a new name nowadays.
Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal. So . . .
(angle-A + angle-B) = 120
angle-B = 65
angle-A = 120 - 65 = <u>55 degrees</u>.
Answer:
c) x = 11
Step-by-step explanation:
Given equation: 7x - 9 = 28 + 4(x - 1)
<u><em>Steps:</em></u>
1. Distribute 4 through the parentheses:
7x - 9 = 28 + 4(x) + 4(-1)
7x - 9 = 28 + 4x - 4 [simplify]
7x - 9 = 24 + 4x
2. Subtract 4x from both sides:
7x - 4x - 9 = 24 + 4x - 4x
3x - 9 = 24
3. Add 9 to both sides:
3x - 9 + 9 = 24 + 9
3x = 33
4. Divide both sides by 3:
3x ÷ 3 = 33 ÷ 3
x = 11
5. Check your work:
7x - 9 = 28 + 4(x - 1) [substitute 11 for x]
7(11) - 9 = 28 + 4(11 - 1) [simplify]
77 - 9 = 28 + 4(10) [simplify]
68 = 28 + 40 [add]
68 = 68 ✔
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