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Answer:
vertex form: y=3(x+5)2−63
Step-by-step explanation:
Answer: SAS similarity postulate
Step-by-step explanation:
According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.
In triangles, QNR and MNP,



Also,
(Reflexive)
Thus, By SAS similarity postulate,

⇒ Option first is correct.
You have the ratio set up correctly:
2x+2/12 = x+3/21
Now cross multiply:
2x+2 * 12 = x+3 * 21
Simplify:
24x + 24 = 21x + 63
Subtract 24 from each side:
24x = 21x + 39
Subtract 21x from each side:
3x = 39
Divide both sides by 3:
x = 39/3
x = 13