Question

The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

$ABD = 0.18x +67$

$CBD = 0.07x + 48$

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

$0.18x + 67 = 0.07x + 48$

Collect like terms

$0.18x - 0.07x= - 67 + 48$

$0.11x= -19$

Solve for x

$x = -\frac{19}{0.11}$

$x = -172.72$

Assume ABD and CBD are supplementary

The solution is:

$ABD + CBD=180$

$0.18x + 67 + 0.07x + 48 = 180$

Collect like terms

$0.18x + 0.07x = - 48 - 67 + 180$

$0.25x = 65$

Solve for x

$x = \frac{65}{0.25}$

$x = 260$

Assume ABD and CBD are complementary

The solution is:

$ABD + CBD=90$

$0.18x + 67 + 0.07x + 48 = 90$

Collect like terms

$0.18x + 0.07x = - 48 - 67 + 90$

$0.25x = -25$

Solve for x

$x = \frac{-25}{0.25}$

$x = -100$