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Tcecarenko [31]
3 years ago
5

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:

6 units

Step-by-step explanation:

This is an isosceles triangle.  Thus, the side marked 'x' has the same length as the other leg (the horizontal leg):  6 units.

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In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2
amm1812

The value of x is 4.

By Geometry, we know that line segment DF = DE + EF, which is equivalent to:

DF = 3\cdot x + 2 + x + 5

DF = 4\cdot x + 7 (1)

Now we solve algebraically the resulting expression.

If we know that DF = 23, then we solve the equation for x:

4\cdot x + 7 = 23

4\cdot x = 16

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We kindly invite to see this question on line segments: brainly.com/question/23297288

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m_a_m_a [10]

Answer:

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Doing this arithmetic gives you the results above.

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