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Brayner14
25.06.2019 •
Mathematics
Identify the correct two-column proof.i need to raise my geometry given: lmno, opqr, and quts are parallelograms. l, o, and p are collinear. n, o, and r are collinear. s, q, and r are collinear. p, q, and u are collinear. prove: ∠m≅∠4
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Ответ:
Option A is correct
Step-by-step explanation:
It is given that LMNO, OPQR, QUTS are parallelograms and L, O, and P are collinear, N, O, and R are collinear., S, Q, and R are collinear, P, Q, and U are collinear.
Thus, ∠M=∠1(Because they are opposite angles of parallelogram LMNO), ∠1=∠2 (as they are vertically opposite angles). Again ∠2=∠3(Because they are opposite angles of parallelogram ROPQ), ∠3=∠4 (as they are vertically opposite angles).
Thus, ∠M=∠1=∠2=∠3=∠4⇒∠M=∠4
Hence proved.
Hence, option A is correct as it has the same conditions used above.
Ответ:
By multiplying the original price of the book by 30%. Oscar is finding the amount of the discount. He then takes the discount off of the original price by subtraction. 28.50 * .30 = 8.55; 28.50-8.55 = 19.95; After he finds the new price he calculates the tax and adds it to the book price. 19.95 * .10 = 2.00 = $21.95
Instead of finding the amount of the discount, Kim found the amount she would have to pay after the 30% was subtracted from the 100%. This left 70% that had to be paid. 28.50 * .70 = 19.95; Then Kim knew that she had to pay this entire amount which was 100% plus another 10% for tax which is 110% so 19.95 * 1.10 = $ 21.95
Both Oscar and Kim got the same amount and they both had enough money to buy the book