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True [87]
2 years ago
11

t{12}+\sqrt{30000}" alt="4\sqrt{8}-3\sqrt{12}+\sqrt{30000}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
adell [148]2 years ago
4 0
The answer to the question

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If AB = 8 and BC = 24, then AC =<br><br> If AB = 17 and AC = 68, then BC =
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Answer:

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

AC = AB + BC

If we know that AB = 8 and BC = 24, then:

AC = 8 + 24

AC = 32

The length of AC is 32 units.

(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

AC = AB + BC

BC = AC - AB

If we know that AC = 68 and AB = 17, then:

BC = 68-17

BC = 51

The length of BC is 51 units.

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Ming weighed a bag of soil for a science experiment. The weight was 2.003 kg. She then removed 0.520 kg of soil from the bag. Ho
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