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:
<h3>x = -3</h3>
Step-by-step explanation:
First let us get the equation of the coordinates
y-y0 = m(x-x0)
Using the coordinates ( - 3, 2 ), ( - 1, 0 )
m = 0-2/-1-(-3)
m = -2/2
m = -1
Substitute m = -1 and (-1, 0) into the formula
y - 0 = -1(x+1)
y = -x-1
f(x) = -x-1
Since f(x) = 2
2 = -x-1
-x = 2+1
-x = 3
x = -3
Hence the value of x is -3
Answer:
is that 32 / 3 or 3^2/3 ...?
Step-by-step explanation:
if 32/3 and 51/7
then answer will be 1120/17
If you double the width you make a similar prism with a scale factor of two, the surface area of the similar prism will increase as the square of the scale factor
Answer:
y = -11x + 9
Step-by-step explanation:
m = -11
x = -1
y = 20
Plug those values into the equation to find b: y = mx + b
20 = (-11)(-1) + b
---> b = 9
Plus m = -11 and b = 9 into y = mx + b
---> y = -11x + 9