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3 years ago

How do you do this and what is the answer

Mathematics

1 answer:

Talja [164]3 years ago

6 0

We know opposite angles in the parallelogram is congruent:

let x to be the unknown angle:

360=2(110)+2x

360=220+2x

140=2x

x=70

ECF is also 110 because of parallel lines and corresponding angles:

110+x+y=180

110+30+y=180

y=40

so DAE is 40

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Answer:

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Step-by-step explanation:

tan C = opp/adj

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tan C = 5/√39

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geniusboy [140]

Answer:

x = 5 and -2

Step-by-step explanation:

Given the function of x to be;

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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.

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

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

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

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