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Adjacent angles<span> are two </span>angles<span> that have a common vertex and a common side.
<OPN and <TSP have a common side but do not have a common vertex.
<OPN and <RSU do not have a common side or a common vertex.
<OPN and <QPN are adjacent angles. They have a common side and a common vertex.
<OPN and <QPS have common vertex but do not have a common side.</span>
2x - 3y - 9z = -32
x + 3z = 8
-3x + y - 4z = -8
Add all the equations together.
-3y - 10z = -32
By looking at the first equation, 2x - 3y - 9z = -3y - 10z.
So 2x = -z.
By looking at the second equation, x + 3z = (-0.5z) + 3z = 8.
So 2.5z = 8, and z = 3.2.
This means that x = -1.6.
Let's substitute into our original equations!
-3.2 - 3y - 28.8 = -32
4.8 + y - 12.8 = -8
Therefore, y = 0!
Since these answers do not contradict each other, they are dependent.
The answers are x = -1.6, y = 0, z = 3.2.
Answer:
<h3>
s = 16.2 units</h3><h3>
</h3>
Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 12/2 = 6
b = 15
c = s
<u>plugin values into the formula:</u>
6² + 15² = s²
s = √(6² + 15²)
s = √261
s = 16.2 units
