MATH SOLVE

2 months ago

Q:
# Find the measure of arc AB , And find the measure of segment DC .

Accepted Solution

A:

Check the picture below, notice the tickmarks.for a chord perpendicular to the diameter chord, their intersection makes two equal segements and those twin segments make twin arcs.[tex]\bf 2x+5=3x-2\implies 5=x-2\implies \boxed{7=x} \\\\\\ y+8=5y\implies 8=4y\implies \cfrac{8}{4}=y\implies \boxed{2=y} \\\\[-0.35em] ~\dotfill\\\\ \widehat{AB}=2(7)+5\implies \widehat{AB}=19~\hfill \overline{DC}=5(2)\implies \overline{DC}=10[/tex]