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Mrrafil [7]
4 years ago
13

Solve for k 3.1+k=5.67

Mathematics
2 answers:
LuckyWell [14K]4 years ago
4 0

Answer:

k=2.57

Step-by-step explanation:

Okay so first things first we have to eliminate 3.1 so we can get the variable k by itself.

 3.1+k=5.67

-3.1    -3.1

<u>                     </u>

k=2.57

Just in case if you're confused we have to isolate thats why we were subtracting both sides by 3.1

(Hope you find this helpful ;w;)

cluponka [151]4 years ago
3 0

Answer:

k =2.57

Step-by-step explanation:

3.1+k=5.67

Subtract 3.1 from each side

3.1-3.1+k=5.67-3.1

k =2.57

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Given segments AB and CD intersect at E.
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The length of a segment is the distance between its endpoints.

  • \mathbf{AB = 3\sqrt{2}}
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<u>(a) Length of AB</u>

We have:

\mathbf{A = (1,2)}

\mathbf{B = (4,5)}

The length of AB is calculated using the following distance formula

\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

So, we have:

\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}

\mathbf{AB = \sqrt{18}}

Simplify

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<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

Where:

\mathbf{C = (2, 4)}

\mathbf{D = (2, 1)}

So, we have:

\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}

\mathbf{CD = \sqrt{9}}

\mathbf{CD = 3}

By comparison

\mathbf{CD \ne AB}

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<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

\mathbf{AB = \frac 12 \times CD}

The above equation is not true, because:

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Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

\mathbf{CD = \frac 12 \times AB}

The above equation is not true, because:

\mathbf{3 \ne \frac 12 \times 3\sqrt 2}

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

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Step-by-step explanation:

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