Question

What is the value of x and the length of segment DE? StartFraction 5 Over 9 EndFraction = StartFraction 9 Over 2 x 3 EndFraction 10x 15 = 9(9) x = Length of = units.

Answer 1

The length of DE from the diagram is 16.2 units

Find the diagram attached.

Using the similarity theorem of triangles, the required expression will bee:

• 5/9 = 9/2x + 3

Cross multiply

9*9 = 5(2x + 3)

81  = 5(2x + 3)

Expand the parenthesis using the distributive law:

81 = 5(2x) + 5(3)

81 = 10x + 15

Subtract 15 from both sides

81 - 15 = 10x + 15 - 15

66 = 10x

x = 66/10

x = 6.6

Get the length of DE.

DE = 2x + 3

DE = 2(6.6) + 3

DE = 13.2 + 3

DE = 16.2 units

Hence the length of DE from the diagram is 16.2 units

Learn more on similarity theorem of shapes here: https://brainly.com/question/21247688

Answer 2

Answer:

X= 6.6

Length of DE = 16.2

Step-by-step explanation:

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