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Inessa05 [86]
4 years ago
5

Use rhombus TQRS below for questions what is the value of x? what is the value of y?

Mathematics
1 answer:
sladkih [1.3K]4 years ago
6 0

The value of x is 1.

The value of y is 4.

Solution:

Given TQRS is a rhombus.

<u>Property of rhombus: </u>

Diagonals bisect each other.

In diagonal TR

⇒ 3x + 2 = y + 1  

⇒ 3x – y = –1 – – – – (1)

In diagonal QS

⇒ x + 3 = y

⇒ x – y = –3 – – – – (2)

Solve (1) and (2) by subtracting

⇒ 3x – y – (x – y) = –1 – (–3)

⇒ 3x – y – x + y = –1 + 3

⇒ 2x = 2

⇒ x = 1

Substitute x = 1 in equation (2), we get

⇒ 1 – y = –3

⇒ –y = –3 – 1

⇒ –y = –4

⇒ y = 4

The value of x is 1.

The value of y is 4.

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