Answer:
x=-2
Step-by-step explanation:
To solve this equation, we can use PEMDAS or Order of Operations.
Parenthesis
Exponents
Multiplication>Division
Addition>Subtraction
Using the various properties can also help make the equation easier.
First, solve for parenthesis using the distributive property.
Our equation is now : 3/4x+3=1/4x+2
Now, subtract 2 on both sides, to cancel out the positive 2 on the right.
3/4x+1=1/4x
Now subtract 3/4x from both sides.
1=-2/4x
Finally, to isolate x, divide both sides by -2/4
1/-2/4=-2
x=-2
Hope this helps!
1468 in cubed ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ
Answer: Angle ABC = 60, angle CBD = 120 and angle GFH = 60
Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,
3x + 6x = 180 {Sum of angles on a straight line equals 180}
9x = 180
Divide both sides of the equation by 9
x = 20.
That means angle 6x measures 6(20) and that is 120 degrees.
Also angle 3x measures 3(20) and that is 60 degrees.
Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}
Angle ABC + 120 = 180
Angle ABC = 180 - 120
Angle ABC = 60
Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20
Angle CBD = 120.
And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.
Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.
