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

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

jmansedg · Answer

@Directrix

563blackghost · Answer

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?

563blackghost · Answer

$\Huge\color{red}{\frac{171}{19}=x}$