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Studentka2010 [4]
3 years ago
6

DEFG is a rectangle. DF = 5x - 3and EG = x + 5. Find the value of x and the length of each diagonal.

Mathematics
2 answers:
erica [24]3 years ago
8 0
d. x = 2, DF = 7, EG = 7
 
DF is equivalent to EG; Therefore, the equation would be like this:

5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.

5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.

4x / 4 = 8 / 4
x = 2

Subsitute x in the equation to find the length of each diagonal.

DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7

Elden [556K]3 years ago
8 0
Answer: d. x = 2, DF = 7, EG = 7
Solution:
by ratio:  DF : EG
                5x - 3 = x + 5
Solving for x:
               
5x -x = 5 + 3
                 x = 2
Substituting x=2 in the expression
               DF = 5x -3 = 5(2) - 3 = 7
               EG = x + 5 = 2 + 5 = 7
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Answer:

Right part: \dfrac{4}{5}x+a, where a\neq -8.

Step-by-step explanation:

Linear equation have no solution if it is impossible for the equation to be true no matter what value we assign to the variable x.

The left part of the equation Tomas wrote is

\dfrac{4}{5}x-8.

The right part of the equation should be of the form

\dfrac{4}{5}x+a,

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In this case, the equation will take look

\dfrac{4}{5}x-8=\dfrac{4}{5}x+a,\\ \\-8=a.

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Answer:

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