8)
3x + 2 = 4x - 3
4x - 3x = 2 +3
x = 5
2y +7 = 4y - 9
4y - 2y = 7+9
2y = 16
y = 2
9)
2x - 2 = x + 2
2x - x = 2+2
x =4
5y - 8 = y+24
5y - y = 24 +8
4y = 32
y = 8
Option B: 1
Option C: 6
Solution:
Let us first define the vertical angle theorem:
Vertical angle theorem:
<em>If two lines are intersecting each other, then the vertically opposite angles are congruent.</em>
To find angle 7 is equal to which angle:
Angle 1 and angle 7 are vertically opposite angles.
Therefore by vertical angle theorem, angle 7 = angle 1
Option B is the correct answer.
To find angle 4 is equal to which angle:
Angle 4 and angle 6 are vertically opposite angles.
Therefore by vertical angle theorem, angle 4 = angle 6
Option C is the correct answer.
Hello :
5(3y+4) <span>≥ 13y+32
</span>15y+20 <span>≥ 13y+32
15y-13y </span><span>≥ 32-20
2y </span><span>≥ 12
y </span><span>≥ 6
S = </span> <span>[ </span><span>6
; + ∞[ </span>
For this case we have the following equation:
Applying distributive property on the left side of the equation we have:
Subtracting 
to both sides of the equation:
Subtracting 10 to both sides of the equation:
Multiplying by 18 on both sides:
Dividing between 7 on both sides:
Thus, the value of g is -18.
ANswer:
