Given:
Consider the below figure attached with this question.
To find:
The measure of angle 3.
Solution:
According to intersecting secant theorem, if two secants of a circle intersect each other outside the circle, then the angle on the intersection is half of the difference of the intercepted arc.
![\text{Angle on intersection}=\dfrac{1}{2}(\text{Major arc}-\text{Minor arc})](https://tex.z-dn.net/?f=%5Ctext%7BAngle%20on%20intersection%7D%3D%5Cdfrac%7B1%7D%7B2%7D%28%5Ctext%7BMajor%20arc%7D-%5Ctext%7BMinor%20arc%7D%29)
Using the intersecting secant theorem, we get
![m\angle 3=\dfrac{1}{2}(m(arcXY)-m(arcWZ))](https://tex.z-dn.net/?f=m%5Cangle%203%3D%5Cdfrac%7B1%7D%7B2%7D%28m%28arcXY%29-m%28arcWZ%29%29)
![m\angle 3=\dfrac{1}{2}(85^\circ-25^\circ)](https://tex.z-dn.net/?f=m%5Cangle%203%3D%5Cdfrac%7B1%7D%7B2%7D%2885%5E%5Ccirc-25%5E%5Ccirc%29)
![m\angle 3=\dfrac{1}{2}(60^\circ)](https://tex.z-dn.net/?f=m%5Cangle%203%3D%5Cdfrac%7B1%7D%7B2%7D%2860%5E%5Ccirc%29)
![m\angle 3=30^\circ](https://tex.z-dn.net/?f=m%5Cangle%203%3D30%5E%5Ccirc)
Therefore, the measure of angle 3 is 30 degrees.
Answer: 4
Step-by-step explanation:
<u>solve for the missing angle</u>
the total degrees a triangle can have is 180 so
![180-90-60=30](https://tex.z-dn.net/?f=180-90-60%3D30)
use <u>law of sines</u> to solve for x
![\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin30%7D%20%3D%5Cfrac%7B4%5Csqrt%7B3%7D%20%7D%7Bsin60%7D)
cross multiply
![sin60*x=4\sqrt{3} sin30](https://tex.z-dn.net/?f=sin60%2Ax%3D4%5Csqrt%7B3%7D%20sin30)
divide by ![sin60](https://tex.z-dn.net/?f=sin60)
![x=\frac{4\sqrt{3}sin30 }{sin60}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%5Csqrt%7B3%7Dsin30%20%7D%7Bsin60%7D)
type into calculator with (<em>ALPHA Y= </em>for a fraction on TI-84) MAKE SURE IT IS IN DEGREES
Answer:
There are 2 integers, which absolute value are 3. -3 and 3 itself
Step-by-step explanation:
|-3| = 3 and |3| = 3 to
Answer:
The answer should be BAD
Step-by-step explanation:
They are all parallel from each other and will never touch
Answer:
I guess it is b= d divided by a - c