Option C:
The measure of arc CD is 40°.
Solution:
Given data:
m∠X = 11° and m(arc AB) = 18°
To find the measure of arc CD:
We know that,
<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>
![$m \angle X =\frac{1}{2}({arc \ CD}-{arc} \ AB)](https://tex.z-dn.net/?f=%24m%20%5Cangle%20X%20%3D%5Cfrac%7B1%7D%7B2%7D%28%7Barc%20%20%5C%20CD%7D-%7Barc%7D%20%20%5C%20AB%29)
![$ 11^\circ =\frac{1}{2}({arc} \ CD-{18^\circ})](https://tex.z-dn.net/?f=%24%2011%5E%5Ccirc%20%3D%5Cfrac%7B1%7D%7B2%7D%28%7Barc%7D%20%20%5C%20CD-%7B18%5E%5Ccirc%7D%29)
Multiply by 2 on both sides.
22° = arc CD - 18°
Add 18° from both sides.
40° = arc CD
Switch the sides.
arc CD = 40°
Hence the measure of arc CD is 40°.
Option B is the correct answer.
Answer:
3 hours on the city roads and 4 hours on the other roads
Step-by-step explanation:
580 (total miles driven) - 400 (4 hours of driving 100km/h) = 180 (miles left)
180 (miles left to drive) / 60 (km/h) = 3 (hours driven at the speed of 60km/h)
I hope this helps :)
Answer:
Line AB is Perpendicular to line CD
Line AB Parallel to line EF
A slope is....
<span>a surface of which one end or side is at a higher level than another; a rising or falling surface.</span>
Answer:
1. Distributive
2. Associative
3. Multiplicative Identity
4. Additive Inverse
Step-by-step explanation: