How many solutions does the following equation have? 2x + 2-3x = 3x - 4

Mathematics

1 answer:

disa [49]3 years ago

7 0

One solution which would be 1.5 or 3/2 same thing

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lys-0071 [83]

The answer is A
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3 years ago

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Phantasy [73]

Answer:

Step-by-step explanation:

∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.

∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.

Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.

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