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aleksandr82 [10.1K]
2 years ago
10

If DF=7x-3 and EG=5x+9, find the value of X

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
3 0

Answer:

x=6

Step-by-step explanation:

Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a <u>rectangle</u>.

Diagonals of a rectangle are <em>always</em> equivalent/congruent.

We can use this information to set up an equation:

DF=EG\\7x-3=5x+9

Add 3 to both sides:

7x-3+3=5x+9+3\\7x=5x+12

Subtract 5x from both sides:

7x-5x=5x-5x+12\\2x=12

Divide both sides by 2

\frac{2x}{2}=\frac{12}{2}\\x=6

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dsp73

Answer:

\boxed{ \bold{ \huge{ \sf{x = 29}}}}

Step-by-step explanation:

\sf{ - 3(3 + x) + 4(x - 6) =  - 4 }

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒\sf{ - 9 - 3x + 4x - 24 =  - 4}

Collect like terms

⇒\sf{x - 9 - 24 =  - 4}

Calculate

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Move 33 to right hand side and change it's sign

⇒\sf{x =  -  4 + 33}

Calculate

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Hope I helped!

Best regards!!

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