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If B is the mid point of AC ,AC =CD,AB=3x=4 ,AC=1x-17, and CE=49 ,find DE

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Answer:

the value of DE is -76.5.

Explanation:

Let's break down the information given in the problem and use it to find the value of DE.

Given:

AC = CD

AB = 3x + 4

AC = 1x - 17

CE = 49

First, let's use the fact that B is the midpoint of AC. This means that AB = BC.

So, we have:

AB = BC

3x + 4 = 1x - 17

Solve for x:

2x = -21

x = -21 / 2

x = -10.5

Now that we have the value of x, let's find AC using one of the given equations:

AC = 1x - 17

AC = 1*(-10.5) - 17

AC = -10.5 - 17

AC = -27.5

Since AC = CD, CD = -27.5.

Now, let's find DE. Since CE = 49 and CD = -27.5, we can calculate DE using the following equation:

CE + ED = CD

49 + ED = -27.5

Solve for ED:

ED = -27.5 - 49

ED = -76.5

User Pasindu Jay
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