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3 years ago

Anyone know how to do this?

Mathematics

2 answers:

fgiga [73]3 years ago

5 0

supplementary angles are angles that add up to 180 degrees , <9 and <10 are supplementary angles because they both together create a straight line that would be 180 degrees

IrinaVladis [17]3 years ago

3 0

angle 9 and angle 10 are supplementary. They both add up to 180°.

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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

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

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

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

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

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

Which of the following describes the transformation from Figure 1 to Figure 2?

elena-s [515]

Answer:

Figure 1

Step-by-step explanation:

3^+ 4^-7/2=8

8 0

2 years ago

I need help please its for math and i put my screenshot under

ExtremeBDS [4]

Answer:

choice 2, y=1/4x

Step-by-step explanation:

7 0

3 years ago

Mike spent half of his allowance going to the movies he washed the family car and earned 9 dollars what is his weekly allowance

EleoNora [17]

$10 I believe. Hope it helped!

8 0

3 years ago

Simplify: the sum of 6.6 and 3.2 all divided by 5 times the quantity of the squared difference of 2 minus 5 plus 6. −11.64 −5.76

denis-greek [22]

Answer:

23.64

Step-by-step explanation:

$\frac{6.6+3.2}{5}$ × (2 - 5)² + 6

= $\frac{9.8}{5}$ × (- 3)² + 6

= 1.96 × 9 + 6

= 17.64 + 6

= 23.64

5 0

2 years ago