Answer:
There are 40 band members including the band director that were notified of the new starting point
Step-by-step explanation:
The diagram below shows the band director at the top, then the three band members he called, then the next band members, and so forth.
Answer:
Therefore m∠ OZQ = 32°.
Step-by-step explanation:
Given:
![m\angle OZP =6x + 4\\m\angle QZP =3x + 10\\\\m\angle OZQ =18x - 4](https://tex.z-dn.net/?f=m%5Cangle%20OZP%20%3D6x%20%2B%204%5C%5Cm%5Cangle%20QZP%20%3D3x%20%2B%2010%5C%5C%5C%5Cm%5Cangle%20OZQ%20%3D18x%20-%204)
To Find:
m∠ OZQ = ?
Solution:
Angle Addition property:
The angle addition postulate states that if a point is within an angle and you add the two angles that are made by drawing a line through the point that the total will equal the large angle.
i.e In the Figure we will have
![\textrm{By Angle Addition Property}\\m\angle OZP +m\angle QZP=m\angle OZQ\\ 6x + 4+3x + 10 =18x - 4\\9x+14=18x-4\\18x-9x=14+4\\\9x=18\\x=\frac{18}{9} \\x=2](https://tex.z-dn.net/?f=%5Ctextrm%7BBy%20Angle%20Addition%20Property%7D%5C%5Cm%5Cangle%20OZP%20%2Bm%5Cangle%20QZP%3Dm%5Cangle%20OZQ%5C%5C%206x%20%2B%204%2B3x%20%2B%2010%20%3D18x%20-%204%5C%5C9x%2B14%3D18x-4%5C%5C18x-9x%3D14%2B4%5C%5C%5C9x%3D18%5C%5Cx%3D%5Cfrac%7B18%7D%7B9%7D%20%5C%5Cx%3D2)
Now substituting x = 2 in angle OZQ we get,
![m\angle OZQ = 18x-4\\m\angle OZQ = 18\times 2 - 4\\m\angle OZQ = 36-4=32\°\\\therefore m\angle OZQ = 32\°](https://tex.z-dn.net/?f=m%5Cangle%20OZQ%20%3D%2018x-4%5C%5Cm%5Cangle%20OZQ%20%3D%2018%5Ctimes%202%20-%204%5C%5Cm%5Cangle%20OZQ%20%3D%2036-4%3D32%5C%C2%B0%5C%5C%5Ctherefore%20m%5Cangle%20OZQ%20%3D%2032%5C%C2%B0)
Therefore m∠ OZQ = 32°.
I think 45, because for women, if you do 15 * 1 = 15. For men, you would do 15* 3 = 45.
Answer:
Step-by-step explanation:
Hypotenuse √6 units = Legs √5 units, 1 unit
Hypotenuse √5 units = Legs √3 units, √2 units
Hypotenuse √8 units = Legs √5 units, √3 units
Hypotenuse √3 units = Legs 1 unit, √2 units
10% because 16.50 * 6 = 99 so without the coupon, its £99 with its £90 the extra £9 is 10% off 99 so they are getting a 10% discount