In circle o, and are diameters. the measure of arc ab is 55° and the measure of arc cd is 25°. circle o is shown. line segments a d and b e are diameters. line segments o f and o c are radii. what is the measure of arc e a c? 100° 125° 235° 280°

m arc EAC=280°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc BC

we know that

m arc EAC=m arc EAB+m arc BC ----> equation A

we have

m arc EAB=180° ----> because the line segment BE is a diameter

m arc AB+m arc BC+m arc CD=180° ----> because the line segment AB is a diameter

substitute the given values and solve for m arc BC

55°+m arc BC+25°=180°

80°+m arc BC=180°

m arc BC=180°-80°=100°

step 2

Find the measure of arc EAC

m arc EAC=m arc EAB+m arc BC ----> equation A

we have

m arc EAB=180°

m arc BC=100°

substitute

m arc EAC=180°+100°=280°

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation: