Answer:
vertical angles
Step-by-step explanation:
When two lines intersect at a single point, they form 4 angles. Two angles that are not adjacent are vertical angles. With an intersection of two lines art a single point, there are two pairs of vertical angles. Angles 1 and 2 are vertical angles.
X = 9 sorry if x isnt what youre looking for
Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements,
, is given by:
![G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}](https://tex.z-dn.net/?f=G%20%3D%20%5Csqrt%5Bn%5D%7Bn_1%20%5Ctimes%20n_2%20%5Ctimes%20...%20%5Ctimes%20n_n%7D)
That is, the nth root of the multiplication of all elements.
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In this question:
- Two elements(n = 2), a and 34.
![G = 6\sqrt{17}](https://tex.z-dn.net/?f=G%20%3D%206%5Csqrt%7B17%7D)
Thus:
![\sqrt{34a} = 6\sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B34a%7D%20%3D%206%5Csqrt%7B17%7D)
We find the square of each side, so:
![(\sqrt{34a})^2 = (6\sqrt{17})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7B34a%7D%29%5E2%20%3D%20%286%5Csqrt%7B17%7D%29%5E2)
![34a = 36\times17](https://tex.z-dn.net/?f=34a%20%3D%2036%5Ctimes17)
Simplifying both sides by 17:
![2a = 36](https://tex.z-dn.net/?f=2a%20%3D%2036)
![a = \frac{36}{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B36%7D%7B2%7D)
![a = 18](https://tex.z-dn.net/?f=a%20%3D%2018)
The value of a is 18.
A similar example is given at brainly.com/question/15010240
32% = 0.32
we know that 0.32 × a number = 8
we can set this number as the variable x
0.32 x = 8
÷0.32 ÷0.32
x = 8
therefore the number is 8