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IceJOKER [234]
2 years ago
14

Find the measure of b and d given that m||n.

Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

b = 61.1° , d = 43.7°

Step-by-step explanation:

b and 61.1° are alternate angles and are congruent , so

b = 61.1°

d and 43.7° are alternate angles and are congruent , so

d = 43.7°

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Consider the matrix <img src="https://tex.z-dn.net/?f=A_%7B4x4%7D%2C%20det%28A%29%20%3D%20-2" id="TexFormula1" title="A_{4x4}, d
Lerok [7]

We found a counterexample, so the statement is false.

<h3>Is the statement true?</h3>

Let's use the matrix:

\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right]

This is a 4x4 matrix with determinant equal to -2.

The inverse matrix is:

\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right]

If we multiply it by 2, we get:

\left[\begin{array}{cccc}1&0&0&0\\0&-2&0&0\\0&0&-2&0\\ 0&0&0&-2 \end{array}\right]

The adjoint of that is the original matrix, actually:

\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right]

Which we already know, has a determinant of -2.

So the statement is false, as we found a counterexample.

If you want to learn more about matrices:

brainly.com/question/11989522

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7 0
2 years ago
I don’t even know what to do help
Luba_88 [7]

Answer:

see below

Step-by-step explanation:

for 1)

angle y = 180 - 110 = 70 degrees

angle z = angle y = 70 degrees

angle x = 89 degrees

for 2)

angle 1 = 180 - 85 = 95 degrees

angle 2= 180 - 95 - 85 degrees

angle 3 = 180-95 = 85 degrees

for 3)

m angle 3 = 25 degrees, same as m angle 1

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Answer: B. 130

   

Step-by-step explanation:

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Step-by-step explanation:

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