Answer:
There is no picture
Step-by-step explanation:
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
Just use the distributing property and combine like terms. There isn’t a definite answer since it is an expression.
The complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT
<h3>Similar triangles </h3>
From the question, we are to complete the given statement
From the given information,
We have that ΔPQR ≅ ΔSTR
This means ΔPQR is congruent to ΔSTR
Then,
∠PQR ≅ ∠STR
∠PRQ ≅ ∠SRT
∠QPR ≅ ∠TSR
Hence, the complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT
Learn more on Congruent Triangles here: brainly.com/question/28032367
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30:42 is represented as 30/42
The lowest form for that is 5/7. Hope that helped. Good luck
