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3 years ago

Which equation can be used to solve for x in the following diagram?

Mathematics

2 answers:

Leno4ka [110]3 years ago

5 0

Answer:

Step-by-step explanation:

10x + 10 and 110 are vertical angles and are congruent, thus

10x + 10 = 110 → D

Subtract 10 from both sides

10x = 100 ( divide both sides by 10 )

x = 10

katovenus [111]3 years ago

3 0

Answer:

Step-by-step explanation:

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For the following linear system, put the augmented coefficient matrix into reduced row-echelon form.

Anni [7]

Answer:

The reduced row-echelon form of the linear system is $\left[\begin{array}{cccc}1&0&-5&0\\0&1&3&0\\0&0&0&1\end{array}\right]$

Step-by-step explanation:

We will solve the original system of linear equations by performing a sequence of the following elementary row operations on the augmented matrix:

Interchange two rows
Multiply one row by a nonzero number
Add a multiple of one row to a different row

To find the reduced row-echelon form of this augmented matrix

$\left[\begin{array}{cccc}2&3&-1&14\\1&2&1&4\\5&9&2&7\end{array}\right]$

You need to follow these steps:

Divide row 1 by 2 $\left(R_1=\frac{R_1}{2}\right)$

$\left[\begin{array}{cccc}1&3/2&-1/2&7\\1&2&1&4\\5&9&2&7\end{array}\right]$

Subtract row 1 from row 2 $\left(R_2=R_2-R_1\right)$

$\left[\begin{array}{cccc}1&3/2&-1/2&7\\0&1/2&3/2&-3\\5&9&2&7\end{array}\right]$

Subtract row 1 multiplied by 5 from row 3 $\left(R_3=R_3-\left(5\right)R_1\right)$

$\left[\begin{array}{cccc}1&3/2&-1/2&7\\0&1/2&3/2&-3\\0&3/9&9/2&-28\end{array}\right]$

Subtract row 2 multiplied by 3 from row 1 $\left(R_1=R_1-\left(3\right)R_2\right)$

$\left[\begin{array}{cccc}1&0&-5&16\\0&1/2&3/2&-3\\0&3/9&9/2&-28\end{array}\right]$

Subtract row 2 multiplied by 3 from row 3 $\left(R_3=R_3-\left(3\right)R_2\right)$

$\left[\begin{array}{cccc}1&0&-5&16\\0&1/2&3/2&-3\\0&0&0&-19\end{array}\right]$

Multiply row 2 by 2 $\left(R_2=\left(2\right)R_2\right)$

$\left[\begin{array}{cccc}1&0&-5&16\\0&2&3&-6\\0&0&0&-19\end{array}\right]$

Divide row 3 by −19 $\left(R_3=\frac{R_3}{-19}\right)$

$\left[\begin{array}{cccc}1&0&-5&16\\0&2&3&-6\\0&0&0&1\end{array}\right]$

Subtract row 3 multiplied by 16 from row 1 $\left(R_1=R_1-\left(16\right)R_3\right)$

$\left[\begin{array}{cccc}1&0&-5&0\\0&1&3&-6\\0&0&0&1\end{array}\right]$

Add row 3 multiplied by 6 to row 2 $\left(R_2=R_2+\left(6\right)R_3\right)$

$\left[\begin{array}{cccc}1&0&-5&0\\0&1&3&0\\0&0&0&1\end{array}\right]$

8 0

3 years ago

Express your final answer in simplest form 3/5 + -7/8

frez [133]

Answer:

- 0.5

Step-by-step explanation:

you first change the fractions numbers in to decimal form

so; 2/5 = 0.4

-7/8 = - 0.875

hence; 0.4 + (-0.875)

= - 0.475

in to its simplest form = - 0.5

the answer is - 0.5

5 0

2 years ago

Round the decimal number to the nearest hundredth 56192

ira [324]

Answer:

0.5600

Step-by-step explanation:

The thousandths place is lower than 5 so then you round down to the nearest ten.

3 0

2 years ago

Convert: 76.8°f = ________ °c<br> a. 21.5<br> b. 25<br> c. 170.24<br> d. 24.89

lesya [120]

The answer to convert 76.8 fahrenheit to Celsius is D

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2 years ago

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Can someone help me with this math question & show steps ?

forsale [732]

a xuz if u work it out ull get a

7 0

3 years ago

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