Solve 2x + 5y = −13 3x − 4y = −8

1 answer:

6 0

If you would like to solve 2x + 5y = -13 and 3x - 4y = -8, you can do this using the following steps:

2x + 5y = -13 /*4
3x - 4y = -8 /*5
_______________
8x + 20y = -52
15x - 20y = -40
_______________
8x + 15x + 20y - 20y = -52 - 40
23x = -92
x = -92 / 23
x = -4

3x - 4y = -8
3 * (-4) - 4y = -8
-12 - 4y = -8
12 + 4y = 8
4y = 8 -12
4y = -4
y = -1

The correct result would be x = -4 and y = -1.

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To prove that δdef ≅ δdgf by sas, what additional information is needed? ∠def ≅ ∠ dgf ∠dfe ≅ ∠ dfg de ≅ dg dg ≅ gf.

snow_lady [41]

Reflection:

Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG.

Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.

The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.

So According to the above statement,

GF ≅ FE (: given)

DF is the common side to triangles DEF and DFG.

DFG is the included side.

Thus ∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)

Learn more about Reflection on:

brainly.com/question/26494295

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1 year ago