A conjecture and the two-column proof used to prove the conjecture are shown.

Mathematics

1 answer:

drek231 [11]3 years ago

5 0

Answer:

The answer to your question is:

Step-by-step explanation:

Statement Reason

1.- ---- ----

2.- m∠1 + m∠2 = 180° -----

3.- ----- -----

4.- ------ Definition of bisector

5.- m∠1 + m∠3 = 180° Substitution property of equality

6.- ----- -----

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Suppose you average 82 on your first 7 test. What must you score on the eighth test to raise your average to 84?

natima [27]

so hmmm on average on the last 7 test, you get 82, so hmmm we could say that on each of the 7 tests you got 82, so you got 82, 7 times.

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$\cfrac{(\stackrel{\textit{sum of all first seven tests}}{82+82+82+82+82+82+82})~~ + ~~g}{8}~~ = ~~84\implies \cfrac{(82\cdot 7)~~ + ~~g}{8}~~ = ~~84 \\\\\\ \cfrac{574+g}{8}=84\implies 574+g=672\implies g=672-574\implies g=98$