Answer:
Vertical angles are congruent.
Explanation:
Took geo, did very well.
Answer:
−143x^3y^5
Step-by-step explanation:
P is the cost of a pound of peanuts and F is the cost of a pound of dried fruit
0.5p+0.75f=6.5
0.75p+0.25f=4.5
Rearrange
0.5p=-0.75f+6.5
Simplify
P=-1.25f+13
Substitute
0.75(-1.25f+13)+0.25f=4.5
simplify
-0.9375f+9.75+0.25f=4.5
<span>-0.6875f+9.75=4.5
</span>-0.6875f=-5.25
f=7.636364
Round
F=$<span>7.64 per pound
</span>
Plug in
0.75p+0.25(7.64)=4.5
Simplify
0.75p+<span>1.91=4.5
0.75p=</span><span>2.59
</span>p=3.453333
Round
P=$3.45 per pound of peanuts
Final
P=$3.45 per pound of peanuts
F=$7.64 per pound of dried fruit
Hello there!
Answer: 3x^3 + 3x^2 - 3
Hope this helps! :)
~Zain
Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,
![m(arc(AD))=105^\circ](https://tex.z-dn.net/?f=m%28arc%28AD%29%29%3D105%5E%5Ccirc)
The central angle of arc BC is 35 degrees. So,
![m(arc(BC))=35^\circ](https://tex.z-dn.net/?f=m%28arc%28BC%29%29%3D35%5E%5Ccirc)
The central angle of arc CD is 50 degrees. So,
![m(arc(CD))=50^\circ](https://tex.z-dn.net/?f=m%28arc%28CD%29%29%3D50%5E%5Ccirc)
The central angle of a complete circle is 360 degrees. So,
![m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ](https://tex.z-dn.net/?f=m%28arc%28AD%29%29%2Bm%28arc%28BC%29%29%2Bm%28arc%28CD%29%29%2Bm%28arc%28AB%29%29%3D360%5E%5Ccirc)
![105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ](https://tex.z-dn.net/?f=105%5E%5Ccirc%2B35%5E%5Ccirc%2B50%5E%5Ccirc%2Bm%28arc%28AB%29%29%3D360%5E%5Ccirc)
![190^\circ+m(arc(AB))=360^\circ](https://tex.z-dn.net/?f=190%5E%5Ccirc%2Bm%28arc%28AB%29%29%3D360%5E%5Ccirc)
![m(arc(AB))=360^\circ-190^\circ](https://tex.z-dn.net/?f=m%28arc%28AB%29%29%3D360%5E%5Ccirc-190%5E%5Ccirc)
![m(arc(AB))=170^\circ](https://tex.z-dn.net/?f=m%28arc%28AB%29%29%3D170%5E%5Ccirc)
Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°