Which relationship is always correct for the angles x, y, and z of triangle ABC?

Mathematics

2 answers:

Rus_ich [418]3 years ago

7 0

Answer:

The answer is the third one: x + y + z = 180 degrees

Step-by-step explanation:

in the picture we can tell angle x measures 90 degrees meaning that the third angle of the triangle also measures 90 degrees because the sum of the angles of a triangle is always 180 we can be sure that x + y + z = 180 degrees

Shalnov [3]3 years ago

3 0

Answer:

y + z = x

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

y + z = x

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antoniya [11.8K]

So hmmm if you notice the picture below

bear in mind that, the vertex is "p" distance from the focus, and "p" distance from the directrix

now, the focus is at 4,6 and the directrix below that, meaning the parabola is vertical and opening upwards

and the vertex is half-way between the focus point and the directrix

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})} \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\
(x-4)^2=4(2)(y-4)\implies (x-4)^2=8(y-4)
\\\\\\
\cfrac{(x-4)^2}{8}=y-4\implies \cfrac{1}{8}(x-4)^2+4=y$