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guajiro [1.7K]
3 years ago
12

PLEAAAAAASE HElp I don't understand. I tried solving it and it wasn't right!!!!

Mathematics
2 answers:
quester [9]3 years ago
7 0
We know the two angles add up to 180
5x + 134 + 2x + 32 = 180
Combine like terms
7x + 166 = 180
Subtract both sides by 166
7x = 14
Divide both sides by 7
x = 2

Have an awesome day! :)
slega [8]3 years ago
5 0

Answer:

We know the two angles add up to 180

5x + 134 + 2x + 32 = 180

Combine like terms

7x + 166 = 180

Subtract both sides by 166

7x = 14

Divide both sides by 7

x = 2

Have an awesome day! :)

Step-by-step explanation:

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Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).
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Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

\overrightarrow {PQ}==

\overrightarrow {PR}==

The nonzero vector orthogonal to the plane through the points P,Q, and R is

\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}

\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}

Expand along row 1.

\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}

\overrightarrow n=i(-9)-j(8)+k(2)

\overrightarrow n=-9i-8j+2k

\overrightarrow n=

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

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