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konstantin123 [22]
2 years ago
11

42 point!!!!! Help me answer the question Find z Compute the m Compute the m

Mathematics
1 answer:
bazaltina [42]2 years ago
6 0

Answer:

z = 110°

w = 80°

x = 0°

Step-by-step explanation:

Start with the 100° angle.  The vertical angle is also 100°.  Supplementary angles add up to 180°, so the angle beside it is 80°.

External angles equal the sum of the opposite internal angles, so the other internal angle is 50°.  The angle supplementary to that is 130°.

The angle supplementary to the 120° angle is 60°.  Angles of a quadrilateral add up to 360°, so the remaining angle is 70°.  This angle is supplementary to z, so z is 110°.

TUVW is a parallelogram (a quadrilateral where opposite angles are congruent).  Therefore, angle W is 80°.  (You could also use the fact that angles of a quadrilateral add up to 360°.)

Angles of a quadrilateral add up to 360°, so:

90 + 84 + 2x + 118 + 2x + 68 = 360

4x + 360 = 360

4x = 0

x = 0

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Truer or false? subtracting 7 from the parent linear function results in a reflection in the x-axis
beks73 [17]

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1 year ago
What are the values of m and n in the matrix addition below?
Aleksandr [31]

ANSWER

The correct answer is m=45,n=12.

<u>EXPLANATION</u>

We were given the matrix equation;

\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


We must first simplify the Left Hand Side of the equation by adding corresponding entries.


\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


That is;


\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.


This implies that;


n-2=10


We got this equation from row one-column one entry of both matrices.


n=12


Also, the row three-column three entries of both matrices will give us the equation;


m-5=40


m=45


Hence the correct answer is m=45,n=12.


The correct option is option 2






6 0
3 years ago
The distance between (-5, 3) and B(5, 3) is
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In here, we will use the distance formula
\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

Compute the distance between <span>(-5, 3) and (5, 3)
</span>=\sqrt{\left(5-\left(-5\right)\right)^2+\left(3-3\right)^2}
<span>
= 10 

The distance between </span>(-5, 3) and (5, 3) is 10 
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