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3 years ago

#11 (Angles with Equations) In the figure below, 2POR is 180°.

Mathematics

1 answer:

lina2011 [118]3 years ago

4 0

Answer:

Step-by-step explanation:

The three angles form a straight line, so they add to 180.

x + x + 70 = 180

Combine like terms

2x+70 =180

Subtract 70 from each side

2x+70-70 =180-70

2x= 110

Divide by 2

x = 55

SQT = x

So SQT = 55

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

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Let

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So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

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Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

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Which terminates the proof, since we showed that

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as required

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