Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z
Fyi I didn't find this on google or anything I did the calculation on my computer and yes this is correct...
If it's wrong I'm sorry...
Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
12,500 divide 1999, 12,500 divide 1998, etc hope this helps
Answer:
Length is 22.5 ft
Width is 16.5 ft
Step-by-step explanation:
4L-w=73.5
4L=73.5+w
L=(73.5+w)/4
P=78
P=2L+2w
78=2[(73.5+w)/4]+2w
78=(73.5+w)/2+2w
78=(73.5+w+4w)/2
2•78=73.5+5w
156=73.5+5w
156-73.5=5w
82.5=5w
82.5/5=w
16.5=w
L=(73.5+w)/4
=(73.5+16.5)/4
=90/4
L=22.5