Answer:
The additional information required to prove ΔDEF ~ ΔPQR is the value of the ratio DE/PQ which has to be equal to three-halves for ΔDEF to be similar to ΔPQR
Step-by-step explanation:
Given DF/PR = FE/RQ = 3/2
The Side Side Side, SSS, similarity theorem states that where there are two triangles that have corresponding sides that are proportional to each other, the two triangles are said to be similar
Given ΔDEF and ΔPQR, have sides DF/PR = FE/RQ, to prove that ΔDEF and ΔPQR, then the additional information required is the ratio of the third sides of the triangles which is DE/PQ.
If DE/PQ = Three-halves, the two triangles ΔDEF and ΔPQR are similar, if not, that is DE/PQ ≠ Three-halves, then the two triangles ΔDEF and ΔPQR are not similar.
*Hint: The Law of Sines is Sin A/a = Sin B/b = Sin C/c
In order to solve this equation, you will have to use this equation:
A= sin^(-1)[a sinB/b]
A= sin^ (-1) [12 (sin 46°) / 11]
A = sin^ (-1) [8.632077604/11]
A = sin ^(-1) [0.7847343276]
A = 51.69611349
Therefore, Sine A would be about 52°
To find a mixed number, take just divide the numerator by the denominator.
36/11 = 3 (with three remaining)
3 is the whole number, and if there's any remaining, put it in the numerator. So the answer is 3 3/11
Hope this helps! :)
Answer:
<em><u>C. Multiply by the reciprocal</u></em>
<em><u>A. Use the phrase keep, change, flip, then solve</u></em><em><u>. </u></em>