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shtirl [24]
2 years ago
6

Simplify the following expressions by combining like terms. Then, tell if the expressions are equivalent.

Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

Answer:

<em>2+4r. Expressions are equivalent.</em>

Step-by-step explanation:

  • <em>3r + 10 + r -8 </em>

<em> Multiply r and 3 </em>

<em>Multiply r and 1 </em>

<em> The r just gets copied along. </em>

<em> The answer is r </em>

<em> r </em>

<em> 3*r evaluates to 3r </em>

<em> 3*r+10 evaluates to 3r+10 </em>

<em> 3r + r = 4r </em>

<em> The answer is 4r+10 </em>

<em> 3*r+10+r evaluates to 4r+10 </em>

<em> 10 - 8 = 2 </em>

<em> The answer is 2+4r </em>

<em> 3*r+10+r-8 evaluates to 2+4r </em>

<em> The final answer is </em>

<em>2+4r</em>

<em />

  • <em>8 + 2(2r) - 6 </em>

<em> Multiply r and 2 </em>

<em>Multiply r and 1 </em>

<em> The r just gets copied along. </em>

<em> The answer is r </em>

<em> r </em>

<em> 2*r evaluates to 2r </em>

<em> Multiply 2 and 2r </em>

<em> Multiply 1 and r </em>

<em> The r just gets copied along. </em>

<em> r </em>

<em> 2*(2*r) evaluates to 4r </em>

<em> 8+2*(2*r) evaluates to 8+4r </em>

<em> 8 - 6 = 2 </em>

<em> The answer is 2+4r </em>

<em> 8+2*(2*r)-6 evaluates to 2+4r </em>

<em> The final answer is </em>

<em>2+4r</em>

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Based on the CPCTC theorem, the congruences that are true about the given triangles are:

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<h3>What is the CPCTC Theorem?</h3>

According to the CPCTC theorem states that if two triangles are congruent to each other, then, all their corresponding parts will be congruent to each other.

Given that triangles JKL and RST are congruent to each other, therefore:

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