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STatiana [176]
3 years ago
9

What is the solution set for the open sentence, using the given replacement set ?

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

first move 7 into RHS in addition

then move t into RHS in division

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AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was construct
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DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

<h3>Congruent shape</h3>

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

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Taking square root of both sides, hence:

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Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Find out more on Congruent shape at: brainly.com/question/11329400

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