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kaheart [24]
3 years ago
5

What is the perimeter of the figure?

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer: C. 16.9

Step-by-step explanation: To find the perimeter you have to add all the sides of the figure.

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Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

Base case: if <em>n</em> = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

8 0
3 years ago
Given a spinner with 9 equal-area sections, a trial of 100 spins resulted in an experimental probability of 13% for the spinner
defon

Answer:

b

Step-by-step explanation:

4 0
3 years ago
The duration of a light bulb before it burns out follows an exponential distribution averaging 8 months. You are asked: 1) Calcu
ludmilkaskok [199]

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The bulb will last less than 800 hours is 0.550

Step-by-step explanation:

6 0
3 years ago
Which statement correctly names the congruent triangles and justifies the reason for congruence?
Marat540 [252]

Answer:

  C. Triangle BAC is congruent to triangle FDE by AAS

Step-by-step explanation:

BAC names the vertices in the order longest-side, shortest-side. That same order is FDE in the other triangle, eliminating choiced B and D. The triangles are not right triangles, eliminating choice A.

The only viable answer choice is C.

No specific sides are shown as being congruent, but two angles are, so we could claim congruence by ASA or AAS. Answer choice C uses the latter.

8 0
2 years ago
Read 2 more answers
HURRY INVERSE OF A FUCTION​
Anon25 [30]
Here is how we get the answer....
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
6 0
3 years ago
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