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What is the value of x? Enter your answer in the box. x = NOTE: Image not drawn to scale. Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G = 49 cm, G D =35 cm, D H equals (x + 1) cm, and E H= 58.8 cm.

What is the value of x Enter your answer in the box x NOTE Image not drawn to scale Triangle G E H with segment E D such that D is on segment G H between G and class=

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Answer:


Step-by-step explanation:

Given is a triangle EGH with sides 49, 58.8 cm and third side as two parts with 35 and x+1 cm.

We have to find x.

Consider triangle GED and EDH separately.  We use sine formula to find GD and HD


Use sine formula for triangles

[tex]\frac{35}{sinGED} =\frac{49}{sinGDE} \\\frac{x+1}{sinDEH}=\frac{58.8}{sinEDH}  \\[/tex]

But sin GED = sin DEH (angle bisector)

Sin GDE = sin EDH (supplementary angles have the same sine)

So 35/49 = (x+1)/58.8

5/9=x+1/58.8

294 =9x+9

285 =9x

x =285/9 = 95/3

= 31.33 cm.

seriouslymason1

Answer:

The answer is (41)

Step-by-step explanation:

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