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Inessa [10]
2 years ago
9

How do i solve this it’s geometry

Mathematics
1 answer:
den301095 [7]2 years ago
3 0

Answer:

x=5, y=11

Step-by-step explanation:

> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°

>we know that the opposite angles are congruent so ...

>we have the sum of interior angles is

108+108+7y-5+7y-5 = 360, combine like terms

14y +206 =360, subtract 206 from both sides

14y = 154, divide both sides by 14

y= 11

>the sides are congruent therefore

4x+17 = 8x-3 , subtract 4x, and add 3 from both sides

17+3 =8x-4x, combine like terms

20 = 4x , divide by 4 both sides

5 =x

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Step-by-step explanation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-5,1)\quad\implies\quad x_1=-5\,,\ \ y_1=1\\\\(-1,4)\quad\implies\quad x_2=-1\,,\ \ y_2=4\\\\d=\sqrt{(-1+5)^2+(4-1)^2}= \sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5

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