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Lady bird [3.3K]
3 years ago
13

Am I right ? And if I'm not can you help please?

Mathematics
1 answer:
Alina [70]3 years ago
5 0
Your answer is correct. The question is asking about the distributive property, which multiplies a number from the outside of the parenthesis by all numbers within the parenthesis.
For example:
2(5 + 10)
(2 x 5) + (2 x 10)
10 + 20.
30.
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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.

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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

\mathbf{AB = 3\sqrt{2}}

<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}}

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

If AB bisects CD, then:

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

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

Hence, AB does not bisect CD

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

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\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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