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Illusion [34]
3 years ago
9

What is the value of x and the length of segment DE?

Mathematics
2 answers:
Mandarinka [93]3 years ago
8 0

Answer:

Part 1) x=6.6\ units

Part 2) DE=16.2\ units

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

CD/FD=FD/DE

\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units

Part 2) Find the length of DE

DE=2x+3

substitute the value of x

DE=2(6.6)+3=16.2\ units

Dahasolnce [82]3 years ago
8 0

Answer:

x = 6.6

Length of  =  16.2 units

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Answer:

x = 9

Step-by-step explanation:

First, we want to isolate variable x on the left side of the equation. We can do this by adding 13 to both sides.

x - 13 + 13 = - 4 + 13

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Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-co
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Answer:

The value of the y-coordinate is -706

Step-by-step explanation:

The equation of a straight line is;

y = mx + c

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y = -79x + c

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So the complete equation of the line would

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3 years ago
You are playing the game "Hidden Treasure" and your hint is that the treasure is 9 spaces away from the point (0, 0). Which of t
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(9, 0)

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The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas
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Answer:

1,474,951.

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The population be at that time will be approximately 1,474,951.

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3 years ago
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