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V125BC [204]
3 years ago
13

Triangle Congruence Theorems

Mathematics
1 answer:
elixir [45]3 years ago
3 0

Triangle Congruence Theorems

Use the triangle congruence theorems below to prove that two triangles are congruent if:
Three sides of one triangle are congruent to three sides of another triangle (SSS: side side side)
Two sides and the angle in between are congruent to the corresponding parts of another triangle (SAS: side angle side)
Two angles and the side in between are congruent to the corresponding parts of another triangle (ASA: angle side angle)
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle (AAS: angle angle side)
The hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle (HL: hypotenuse leg)
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'Polonium-210 is a radioactive substance with a half-life of 138 days. If a nuclear
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Answer:

  • <u>59.0891 g (rounded to 4 decimal places)</u>

Explanation:

<em>Half-life time</em> of a radioactive substance is the time for half of the substance to decay.

Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:

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Where:

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In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:

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Step-by-step explanation:

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Answer:

Option C) is correct

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It also can be written as t=\frac{p}{s_{1}-s_{2}}

Step-by-step explanation:

Given equation can be written as below:

p=s_{1}t-s_{2}t

Now to solve the equation for t:

p=s_{1}t-s_{2}t

Taking common term t outside on RHS we get

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Rewritting the above equation as below

t=\frac{p}{s_{1}-s_{2}}

Therefore option C) is correct

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It also can be written as t=\frac{p}{s_{1}-s_{2}}

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