Remark
I think we are to assume that the line is a straight one and that it contains a total of 180o at the intersection.
Equation
2x + 7 + 6x - 9 = 180o
Solve
Combine the like terms on the left.
2x + 6x + 7 - 9 = 180
8x - 2 = 180o Add 2 to both sides.
8x - 2 + 2 = 180 + 2
8x = 182 Divide by 10
8x/8 = 182/8
x = 22.75
But that is not the answer.
You need to find 6x - 9
Angle = 6x - 9
Angle = 6*18.2 - 9
Angle = 127.5 <<<<< Answer.
<span>x – 2z = 9 so x = 2z + 9
6x – 2y – 5z = 29
–5x + 5y + 3z = –14
substitute </span>x = 2z + 9 into 6x – 2y – 5z = 29 and –5x + 5y + 3z = –14
6(2z + 9) – 2y – 5z = 29
12z + 54 - 2y -5z =29
-2y + 7z = - 25 (1st equation)
–5(2z + 9) + 5y + 3z = –14
-10z - 45 + 5y + 3z = -14
5y - 7z = 31 (2nd equation)
multiply (1st) equation by 5 and (2nd) equation by 2
-10y + 35z = - 125
10y - 14z = 62
-----------------------add
21z = - 63
z = -3
substitute z = - 3 into x = 2z + 9
x = 2z + 9
x = 2(-3) + 9
x = 3
substitute x = 3 and z = 3 into <span>6x – 2y – 5z = 29
</span>
<span>6x – 2y – 5z = 29
</span><span>6(3) – 2y – 5(-3) = 29
18 - 2y + 15 = 29
-2y + 33 = 29
-2y = -4
y = 2
x = 3, y = 2 and z = -3
answer
</span><span>B. (3, 2, –3)</span>
Answer:
<em>According</em><em> to</em><em> </em><em>me </em><em>your</em><em> answer</em><em> is</em><em> </em><em>the</em><em> </em><em>3</em><em>r</em><em>d</em><em> </em><em>no.</em><em> </em><em>option.</em>
Answer:
The carpenter earned $176 for the week.
Step-by-step explanation:
Add up the hours worked: 3.25 hr + 7 1/4 hr + 5 2/4 hr
= 10 2/4 hr + 5 2/4 hr
= 16 hr
Now multiply this result by $11/hr:
($11/hr)(16 hr) = $176
Answer:
Step-by-step explanation:
So we have the inequality:
Add 1 to both sides. The left side cancels:
Subtract 4x from both sides. The right side cancels:
Divide both sides by -1. Since we're dividing by a negative, we flip the sign:
And we're done!
Our solution is all numbers less than -8.