In the diagram below, O is circumscribed about quadrilateral DEFG. What is

Mathematics

1 answer:

Nimfa-mama [501]1 year ago

8 0

Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.

<h3>What is a supplementary angle?</h3>

A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:

Q + R = 180°.

In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:

x + 112° = 180°

x = 180° - 112°

x = 68°

Read more on supplementary angle here: brainly.com/question/12542846

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Find the length of the unknown side. Round your answer to the nearest tenth.

slamgirl [31]

Answer:

11.5

Step-by-step explanation

a^2+b^2=c^2

8(8)+(x)^2=196

64 + x^2=196

$\sqrt{x^{2} }$ = $\sqrt{132}$

x=11.48

x=11.5 rounded

6 0

2 years ago

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liraira [26]

$\bf \sqrt{2}\left(3\sqrt{2}+\sqrt{18} \right)~~
\begin{cases}
18=2\cdot 3\cdot 3\\
\qquad 2\cdot 3^2
\end{cases}\implies \sqrt{2}\left(3\sqrt{2}+\sqrt{2\cdot 3^2} \right)
\\\\\\
\sqrt{2}\left(3\sqrt{2}+3\sqrt{2} \right)\implies \sqrt{2}\left(6\sqrt{2} \right)\implies 6\left(\sqrt{2}\right)^2\implies 6\cdot 2\implies \stackrel{rational}{12}$