Question

Calculate the value of x if line segment AC is the diameter.https://roads.advancedacademics.com/contentserver/content/roadssection/292242/questions/assessments/c-circles-exam/geometry_7_exam_32q2.gif A. 9
B. 18
C. 17
D. 152

Answer 1

@Directrix

Answer 2

Since we know of the diameter we also know that a straight line has an angle total of 180 degrees....so the three equation that represents angles all equal up to 180 degrees so our equation looks like this....

\(\LARGE{(6x+5)+(8x+1)+(5x+3)=180}\) Combine like terms....

\(\Huge{19x+9=180}\) Subtract 9 from both sides....

\(\Huge\color{purple}{19x=171}\) Now you would divide by 19 on both sides...

\(\Huge\color{red}{\frac{19x}{19}=\frac{171}{19}}\) Whats the answer?

Answer 3

\(\Huge\color{red}{\frac{171}{19}=x}\)