In circle o, st is a diameter.

circle o is shown. line segment s t is a diameter. line segments r o and u o are radii. angles r o u and u o t are congruent. the measure of arc r s is (2 x + 8) degrees, the measure of arc r u is (3 x minus 14) degrees, and the measure of arc u t is (3 x minus 14) degrees.

what must be the value of x?

22.0
25.0
25.4
37.2

Step-by-step explanation:

If ST is a diameter, then m∠TOS = 180°.

From the picture we have the equation:

m∠TOU + m∠UOR + m∠ROS = m∠TOS  We have:

m∠TOU = (3x - 14)°

m∠UOR = (3x - 14)°

m∠ROS = (2x + 8)°

m∠TOS = 180°

Substitute:

(3x - 14) + (3x - 14) + (2x + 8) = 180           combine like terms

(3x + 3x + 2x) + (-14 - 14 + 8) = 180

8x - 20 = 180                add 20 to both sides

8x - 20 + 20 = 180 + 20

8x = 200                  divide both sides by 8

8x/8 = 200/8

x = 25

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

what is the approximate angle of acb if abc is 25cm and the length of segment bc is 15

step-by-step explanation: