Always ? Sometimes? Never Explain

Mathematics

1 answer:

Stels [109]3 years ago

6 0

Answer:

Sometimes

Step-by-step explanation:

Quadrilaterals are shapes with four sides.

This means some quadrilaterals will have 4 equal sides, others will have <em>no </em>equal sides!

There is no rule determining side length equivalence in quadrilaterals. But those may be sub-classified as other shapes.

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A. Ana bought a table having an area of

Anna35 [415]

Answer:

The side length of the table is x + 5

Step-by-step explanation:

To solve this, you need only take the square root of the area:

$\sqrt{x^2 + 10x + 25}\\= \sqrt{(x + 5)^2}\\= x + 5$

So the side length of the table is x + 5

7 0

3 years ago

Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$