Answer:
See Explanation
Step-by-step explanation:
Given
[tex]ABD = 0.18x +67[/tex]
[tex]CBD = 0.07x + 48[/tex]
Required
Find x
The question is incomplete as the relationship between ABD and CBD is not stated.
Assume ABD = CBD
The solution is:
[tex]0.18x + 67 = 0.07x + 48[/tex]
Collect like terms
[tex]0.18x - 0.07x= - 67 + 48[/tex]
[tex]0.11x= -19[/tex]
Solve for x
[tex]x = -\frac{19}{0.11}[/tex]
[tex]x = -172.72[/tex]
Assume ABD and CBD are supplementary
The solution is:
[tex]ABD + CBD=180[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]
[tex]0.25x = 65[/tex]
Solve for x
[tex]x = \frac{65}{0.25}[/tex]
[tex]x = 260[/tex]
Assume ABD and CBD are complementary
The solution is:
[tex]ABD + CBD=90[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]
[tex]0.25x = -25[/tex]
Solve for x
[tex]x = \frac{-25}{0.25}[/tex]
[tex]x = -100[/tex]
