Find the value of x and y (please explain)

Mathematics

1 answer:

katovenus [111]2 years ago

7 0

Answer:

x=55,y=20

Step-by-step explanation:

180-75=105

2x-5=105

2x=110

x=55

4x+25=105

4y=80

y=20

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Step-by-step explanation:

Plot the vertices of the quadrilateral PQRS on the coordinate plane (see attached diagram). The diagram shows that this is a square. Let's prove it.

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2. Find the slopes of all lines:

$PQ:\ \dfrac{4-0}{0-(-3)}=\dfrac{4}{3}\\ \\QR:\ \dfrac{1-4}{4-0}=-\dfrac{3}{4}\\ \\RS:\ \dfrac{-3-1}{1-4}=\dfrac{4}{3}\\ \\SP:\ \dfrac{0-(-3)}{-3-1}=-\dfrac{3}{4}$