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WINSTONCH [101]
2 years ago
5

Hello please help me solve for x

Mathematics
2 answers:
irina [24]2 years ago
7 0

Answer:

x=3

Step-by-step explanation:

Since these angles are either corresponding/alternate/opposite angles

They are equal

110=36x+2

108=36x

x=3

Alinara [238K]2 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

The two given angles are alternate interior angles, meaning that there measurements will be exactly the same. Set the two measurements equal to each other:

36x + 2 = 110

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 2 from both sides of the equation:

36x + 2 = 110

36x + 2 (-2) = 110 (-2)

36x = 110 - 2

36x = 108

Next, divide 36 from both sides of the equation:

(36x)/36 = (108)/36

x = 108/36

x = 3

3 is your answer for x.

~

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Answer:

\begin{bmatrix}7\\ 4\\ 2\end{bmatrix}

Step-by-step explanation:

We have the product, \begin{bmatrix} 3& 6& 1\\ 2& 4& 0\\ 0& 6& 2\end{bmatrix}\times \begin{bmatrix}2\\ 0\\ 1\end{bmatrix}.

As, we have the product of a 3×3 and 3×1 matrix, the resultant matrix will be of order 3×1.

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\begin{bmatrix} 3& 6& 1\\ 2& 4& 0\\ 0&6&2\end{bmatrix}\times \begin{bmatrix}2\\ 0\\ 1\end{bmatrix}

⇒ \begin{bmatrix}3\times 2+6\times 0+1\times 1\\ 2\times 2+4\times 0+0\times 1\\ 0\times 2+6\times 0+2\times 1\end{bmatrix}

⇒ \begin{bmatrix}7\\ 4\\ 2\end{bmatrix}.

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3 years ago
What number comes next in this sequence? 1 2 8 48 384 ___? Is it 786 1536 720 580 or 3840?
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8 0
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The quadratic x^2+7x+20$ has the same roots as the quadratic Ax^2+Bx+1 What is A+B?
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If f(x)=x^2+7x+20 has the same roots as g(x)=Ax^2+Bx+1, then

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By comparison of the constant terms, we know that 20g(x)=f(x), or

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=(1/20)(x^2+7x+20)

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=(1/20)x^2 + (7/20)x + 1


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5 0
3 years ago
Emma started biking to the coffee shop traveling 15 mph, after some time the bike got a flat so Emma walked the rest of the way,
serious [3.7K]

Answer:

75\text{ miles, }28\text{ miles}

Step-by-step explanation:

GIVEN: Emma started biking to the coffee shop traveling 15 \text{mph}, after some time the bike got a flat so Emma walked the rest of the way, traveling 7 \text{mph} If the total trip to the coffee shop took 9 \text{hours} and it was 103 \text{miles} away.

TO FIND: how long did Emma travel at each speed.

SOLUTION:

Let the distance traveled by Emma through bike is \text{x}

Total time taken when traveled by bike =\frac{\text{x}}{15}

Distance traveled through feet =103-\text{x}

Total time taken when traveled by feet =\frac{103-\text{x}}{7}

Now,

Total time taken =9\text{hours}

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8\text{x}=600

\text{x}=75

Distance traveled through feet =103-75=28\text{miles}

Hence distance traveled using bike is 75\text{miles} and by feet is 28\text{miles}

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