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weqwewe [10]
3 years ago
14

Question is on the photo

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0

g=

   2x+5

    -----    

     x

g(1) g=2x+5

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In Triangle DEF, if angle D is congruent to angle E, DE= x + 4, EF= 4x - 8, and DF= 7X - 35 find X and the measure of each side
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If angle D is congruent to angle E, then the triangle DFE is an isosceles triangle (look at the picture).

Therefore DF ≅ EF.

DE = x + 4, EF = 4x - 8, DF = 7x - 35

The equation:

7x - 35 = 4x - 8       <em>add 35 to both sides</em>

7x = 4x + 27       <em>subtract 4x from both sides</em>

3x = 27        <em>divide both sides by 3</em>

x = 9

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EF = 4x - 8 → EF = 4(9) - 8 = 36 - 8 = 28

DF = 7x - 35 → DF = 7(9) - 35 = 63 - 35 = 28

<h3>Answer:</h3><h3>x = 9, DE = 13, EF = 28, DF = 28.</h3>

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