Answer:
<h2>y = 31</h2>
Step-by-step explanation:
We know: opposite angles in a parallelogram have the same measure.
Therefore we have the equation:
<em>subtract y from both sides</em>
![x=87](https://tex.z-dn.net/?f=x%3D87)
We know: the sum of the angle measures in the triangle is 180°.
Therefore we have the equation:
<em>subtitute x = 87</em>
![42+87+y+20=180](https://tex.z-dn.net/?f=42%2B87%2By%2B20%3D180)
<em>subtract 149 from both sides</em>
![y=31](https://tex.z-dn.net/?f=y%3D31)
<h3>The given expression as single exponent is:</h3>
![4^4 \times 4^{-7} \times 4 = 4^{-2}](https://tex.z-dn.net/?f=4%5E4%20%5Ctimes%204%5E%7B-7%7D%20%5Ctimes%204%20%3D%204%5E%7B-2%7D)
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
![4^4 \times 4^{-7} \times 4](https://tex.z-dn.net/?f=4%5E4%20%5Ctimes%204%5E%7B-7%7D%20%5Ctimes%204)
In exponents,
When the base is same, exponents can be added
Which means,
![a^m \times a^n = a^{m+n}](https://tex.z-dn.net/?f=a%5Em%20%5Ctimes%20a%5En%20%3D%20a%5E%7Bm%2Bn%7D)
Therefore,
![4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}](https://tex.z-dn.net/?f=4%5E4%20%5Ctimes%204%5E%7B-7%7D%20%5Ctimes%204%20%3D%204%5E%7B4-7%2B1%7D%5C%5C%5C%5CSimplify%5C%5C%5C%5C4%5E4%20%5Ctimes%204%5E%7B-7%7D%20%5Ctimes%204%20%3D%204%5E%7B-3%2B1%7D%20%5C%5C%5C%5C4%5E4%20%5Ctimes%204%5E%7B-7%7D%20%5Ctimes%204%20%3D%204%5E%7B-2%7D)
Thus the given expression as single exponent is:
![4^4 \times 4^{-7} \times 4 = 4^{-2}](https://tex.z-dn.net/?f=4%5E4%20%5Ctimes%204%5E%7B-7%7D%20%5Ctimes%204%20%3D%204%5E%7B-2%7D)
Answer:
the first one, QPN and OPS
Explanation:
they're intersecting and opposites
hope that helped :)
The answer to <span>H+12.5=-12.5</span> is H=-25