BRIANILEST!!!Hassan lined up the interior angles of the triangle along the line below.

Mathematics

2 answers:

garri49 [273]3 years ago

4 0

Your answer would be 30°. This is because angles on a straight line add to 180°, and if you add 112 and 38 you get 150°, which we can then subtract from 180 to get 30°.
Angles in a triangle also add up to 180°, so the same logic applies there except adding 112 and 30.
I hope this helps! Let me know if you have any questions :)

stiks02 [169]3 years ago

3 0

A straight line = 180 degrees.

Subtract the 2 known angles from 180:

180 - 112 - 38 = 30 degrees

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Gnesinka [82]

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Using this formula, we get

$m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}$

$m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2$

Now,

$m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1$

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

5 0

3 years ago

Write a general formula to describe the variation: M varies jointly with the cube root of the difference B and b.

MAXImum [283]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{M varies jointly with the cube root of the difference B and b}}{M=k\sqrt[3]{B-b}}$