Mathematics: Quadrilateral paid is a rectangle whose diagonals have the endpoints p(-3, -2)i(4, -7) and a(4, -2)d(-3, -7). find the diagonals intersection point. in complete sentences, explain which method you used for finding the intersection point

Quadrilateral paid is a rectangle whose diagonals

Ответ:

naseersaad

10.03.2022

Mathematics

The intersection point of diagonals is (0.5,-4.5).

Step-by-step explanation:

The end points of first diagonal are p(-3, -2) and i(4, -7).

The end points of second diagonal are a(4, -2) and d(-3, -7).

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of first diagonal is

$y-(-2)=\frac{-7-(-2)}{4-(-3)}(x-(-3))$

$y+2=\frac{-5}{7}(x+3)$

7y+14=-5(x+3)

7y+14=-5x-15

5x+7y=-29 .... (1)

The equation of second diagonal is

$y-(-2)=\frac{-7-(-2)}{-3-4}(x-4)$

$y+2=\frac{-5}{-7}(x-4)$

7y+14=5(x-4)

7y+14=5x-20

5x-7y=34 .... (2)

Add equation (1) and (2),

10x=5

x=0.5

Put this value in (1).

5(0.5)+7y=-29

y=-4.5

The intersection point of diagonals is (0.5,-4.5).

Quadrilateral paid is a rectangle whose diagonals have the endpoints p(-3, -2)i(4, -7) and a(4, -2)d

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Ответ:

sweetcandy16gaming

07.02.2021

Mathematics

1) 30

2) 60

Step-by-step explanation:

1. 90 + 2x + x = 180

solve for x

x = 30

plug in 30 for x

hope this helps. I am in algebra two so you can trust my answer. Happy holidays stay safe

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Quadrilateral paid is a rectangle whose diagonals have the endpoints p(-3, -2)i(4, -7) and a(4, -2)d(-3, -7). find the diagonals' intersection point. in complete sentences, explain which method you used for finding the intersection point

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