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2 years ago

1 Zx and Zy are supplementary angles. Zy measures 65º. What is the measure of Zx?

Mathematics

2 answers:

Trava [24]2 years ago

7 0

Answer:

115°

Step-by-step explanation:

Given

Zy = 65°

Zx = ?

we know

Zx + Zy = 180° { being supplementary angles }

Zx + 65° = 180°

Zx = 180° - 65°

Zx = 115°

Hope it will help :)❤

Hitman42 [59]2 years ago

6 0

Answer:

zx=115'

Step-by-step explanation:

supplementary angles add up to 180'

180-65=115

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Write three different equations that have x=5 as a solution

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Answer: The three different equations will be

$x+3=8\\\\2x-8=2\\\\4x-4=16$

Step-by-step explanation:

We have to write three equation that have x = 5 as a solution:

1) First equation will be

$x+3=8\\\\x=8-3\\\\x=5$

2) Second equation will be

$2x-8=2\\\\2x=8+2\\\\2x=10\\\\x=\frac{10}{2}\\\\x=5$

3) Third equation will be

$4x-4=16\\\\4x=16+4\\\\4x=20\\\\x=\frac{20}{4}\\\\x=5$

Hence, the three different equations will be

$x+3=8\\\\2x-8=2\\\\4x-4=16$

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3 years ago

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(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar

EastWind [94]

Answer:

$x=\frac{-363}{70}$ ≈ -5.1857

$y=\frac{-192}{35}$ ≈ -5.4857

$z=\frac{313}{84}$ ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

$6x+8y=-75$

$-3x+6y+6z=5$

$2x-9y=39$

Now, write the system in its augmented matrix form:

$\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]$

applying row reduction process to its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]$

R3+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]$

3R2+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]$

15R3+20R2

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]$

Now we have a simplified system:

$-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565$

$-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)$

From (3):

$z=\frac{313}{84}$ (4)

Replacing (4) in (2)

$y=\frac{-192}{35}$ (5)

Finally replacing (5) and (4) in (1)

$x=\frac{-363}{70}$

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1 Zx and Zy are supplementary angles. Zy measures 65º. What is the measure of Zx?​

1 Zx and Zy are supplementary angles. Zy measures 65º. What is the measure of Zx?