Question

Arcs and ChordsALGEBRA Find the value of x in each circle.1.2.384x+10=384x=28QX=74x4. 10M70°3.109°A4. OROS(5x – 1)°3x+2B58-7R.109°0(4x + 7)

Answer 1

Congruent chords make congruent arcs. So, to find the value of x, equate 4x+7 and 5x-1.

$\begin{gathered} 4x+7=5x-1 \\ 4x-5x=-1-7 \\ -x=-8 \\ x=8 \end{gathered}$

Hence the value of x in each circle is 8.