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hram777 [196]
3 years ago
10

2x – y = 6 5x + 10y = –10

Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0
2x-y=6;5x+10y=-10. -y=-2x+6. -y/-1=-2x+6/-1. y=2x-6. 5x+10y=-10. 5x+10(2x-6)=-10. 25x-60=-10. 25x=50. 25x/25=50/25. y=2x-6. y=(2)(2)-6. y=-2. Therefore, x=2 and y=-2
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4 0
3 years ago
Given that ABCD is a rhombus, what is the value of x?
Maslowich

Answer:

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Step-by-step explanation:

We know that diagonals bisect angles of a rhombus, meaning that they split the angles of two equal parts, that opposite angles are equal, and that the angles of a quadrilateral, such as a rhombus, add up to 360 degrees.

Looking at the drawing I uploaded, and taking into account that diagonals bisect angles of a rhombus, we can say that angle x = y and z = 5x-18

Next, given that opposite angles are equal, we can say that angle B = angle D and angle A = angle C. Therefore,

A+B+C+D= 360 (as the angles of a quadrilateral add up to 360)

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2(x+5x-18) = 180

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6x-18=90

add 18 to both sides

6x=108

divide both sides by 6

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Step-by-step explanation:

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Step-by-step explanation:

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