It looks like the differential equation is

Check for exactness:

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

*is* exact. If this modified DE is exact, then

We have

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

The modified DE,

is now exact:

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

Integrate both sides of the first condition with respect to <em>x</em> :

Differentiate both sides of this with respect to <em>y</em> :

Then the general solution to the DE is

Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
The reflection transformation of the given diagram means that; W' X' is parallel to Z' Y'
<h3>How to Interpret Transformation Reflection?</h3>
Reflection over y-axis is a reflection or flip over the y-axis where the y-axis is the line of reflection used. The formula for this is: (x,y) →(−x,y) ( x , y ) → ( − x , y ) .
To reflect an equation over the y-axis, simply multiply the input variable by -1: y=f(x)→y=f(−x) y = f ( x ) → y = f ( − x )
Thus, looking at the given image and applying the transformation rule above, we can say that the reflection of parallelogram WXYZ across the y-axis would mean that W' X' is parallel to Z' Y'
Read more about Transformation Reflection at; brainly.com/question/1908648
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Answer: C
Step-by-step explanation:
Place the compass on point and mark an arc above AB that goes through P, and a similar arc below AB.
I just did the CYU and this was correct