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fenix001 [56]
3 years ago
5

Expand and Simplify 2(X-2)+4(5X-6)

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0
2(x-2)+4(5x-6) Expand brackets 2x-4+20x-24 Group similar terms 22x-28 Factorise 2(11x-14)
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What can you conclude and reason
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Answer:

ABC is an isosceles triangle.

Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.

Step-by-step explanation:

I can conclude that triangle ABC is an isosceles triangle.

Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.

Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.

Therefore angle C for both triangles CDA and CDB is of equal measure.

We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.

The two triangles also share the same side CD.

Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).

Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.

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