Question

Please help me out....

Answer 1

Answer:

x = 6

Step-by-step explanation:

Given that the line segment is an angle bisector then the following ratios are equal

$\frac{42}{78}$ = $\frac{6x-1}{10x+5}$, that is

$\frac{7}{13}$ = $\frac{6x-1}{10x+5}$ ( cross- multiply )

13(6x - 1) = 7(10x +5) ← distribute parenthesis on both sides

78x - 13 = 70x + 35 ( subtract 70x from both sides )

8x - 13 = 35 ( add 13 to both sides )

8x = 48 ( divide both sides by 8 )

x = 6