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3 years ago

What is the value of x if the quadrilateral is a rhombus? please help

Mathematics

2 answers:

trapecia [35]3 years ago

8 0

Answer: The required value of x is 3.

Step-by-step explanation: We are given to find the value of x if the quadrilateral shown in the figure is a rhombus.

From the figure, we note that

the lengths of the three sides of the rhombus are 5x units, (4x + 3) units and 15 units.

We know that the lengths of all the four sides of a rhombus are equal, so we get

$5x=4x+3=15\\\\\Rightarrow 5x=15\\\\\Rightarrow x=\dfrac{15}{5}\\\\\Rightarrow x=3.$

Thus, the required value of x is 3.

stiks02 [169]3 years ago

3 0

In a rhombus, all sides are equal:

5x = 15
and x = 15/5 = 3

(you could have done the same thing with the other side: 5x = 4x +3)

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3 years ago

Please help me with number 8. Thank you so much

Nastasia [14]

The are of the trapezoid is 125

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