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zzz [600]
3 years ago
7

WILL GIVE BRAINLIEST!!! Find the length of DF

Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

190.4

Step-by-step explanation:

Solve the following system:

{2 y - 3 x - 8 = 3 y + 4 x - 1 | (AB=DE)

4 y + 10 x + 3 = -2 y - 17 x + 9 | (BC=EF)

x = -16/5, y = 77/5

DF=AC=-27x+5y+27=190.4

There you go, have a great day

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Answer:

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Step-by-step explanation:

Triangles are said to be congruent if they have the same sides and the same angles.

The following measures are used to determine if triangles are congruent:

1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.

2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.

3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.

4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles  DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.

To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent

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