3 years ago

How do you do this problem 1/4 +4x/5=11/20?

1 answer:

Nutka1998 [239]3 years ago

8 0

$\frac{1}{4}+\frac{4}{5}x=\frac{11}{20}\\\\\frac{4}{5}x=\frac{11}{20}-\frac{1}{4}\\\\\frac{4}{5}x=\frac{11}{20}-\frac{5}{20}\\\\\frac{4}{5}x=\frac{6}{20}\ \ \ \ \ \ \ |\cdot\frac{5}{4}\\\\x=\frac{30}{80}=\frac{3}{8}$

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lord [1]

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4 years ago

What is the perimeter of rhombus WXYZ? units 12 units units 20 units

timama [110]

Let O be the intersection of the vertical line through ZX, and the horizontal line through YW.

The coordinates of this point are clearly (5, 2) as it is at the same x-coordinate as X and Z, and y-coordinate as Y and W.

So, YZO is a right triangle. By the Pythagorean theorem:

$ZY= \sqrt{{YO}^2+{OZ}^2}= \sqrt{2^2+3^2}= \sqrt{4+9}= \sqrt{13}$ .

Since all sides of a rhombus are equal, then the perimeter is :

$P(XWZY)=4 \sqrt{13}$ units.

Answer: third choice.