Answer:
112
Step-by-step explanation:
Hey There!
So remember opposite the sides given are corresponding with its opposite angle
So the corresponding angle of segment QO is angle P and the corresponding angle of segment PQ is angle O
Thus meaning that angle P and angle O are equal to 34
Now we want to find angle Q
So remember all of the angles in a triangle add up to equal 180
so we subtract the given angles (34 and 34) from 180 to find the missing angle (angle Q)
180-34-34=112
So we can conclude that angle Q = 112
~<em>TheMathWiz</em>
Answer:
The number will be -13
Step-by-step explanation:
Let the no. be x
Its twice will be = 2x
According to the question ,
![2x + 7 = -19\\=> 2x = -19 - 7 = -26\\=> x = \frac{- 26}{2} = - 13](https://tex.z-dn.net/?f=2x%20%2B%207%20%3D%20-19%5C%5C%3D%3E%202x%20%3D%20-19%20-%207%20%3D%20-26%5C%5C%3D%3E%20x%20%3D%20%5Cfrac%7B-%2026%7D%7B2%7D%20%3D%20-%2013)
Answer:
<h2>560</h2>
Step-by-step explanation:
You must use a combination:
![_nC_k=\dfrac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=_nC_k%3D%5Cdfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D)
We have <em>n = 16</em>, <em>k = 3</em>.
Substitute:
![_{16}C_3=\dfrac{16!}{3!(16-3)!}=\dfrac{13!\cdot14\cdot15\cdot16}{2\cdot3\cdot13!}\qquad\text{cancel}\ 13!\\\\=\dfrac{14\cdot15\cdot16}{2\cdot3}=\dfrac{7\cdot5\cdot16}{1}=560](https://tex.z-dn.net/?f=_%7B16%7DC_3%3D%5Cdfrac%7B16%21%7D%7B3%21%2816-3%29%21%7D%3D%5Cdfrac%7B13%21%5Ccdot14%5Ccdot15%5Ccdot16%7D%7B2%5Ccdot3%5Ccdot13%21%7D%5Cqquad%5Ctext%7Bcancel%7D%5C%2013%21%5C%5C%5C%5C%3D%5Cdfrac%7B14%5Ccdot15%5Ccdot16%7D%7B2%5Ccdot3%7D%3D%5Cdfrac%7B7%5Ccdot5%5Ccdot16%7D%7B1%7D%3D560)