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USPshnik [31]
2 years ago
10

I HAVE 4 MATH QUESTIONS AND I REALLY NEED HELP FAST. PLEASE ONLY COMMENT IF YOU ARE GOING TO HELP. I GAVE AS MANY POINTS AS POSS

IBLE. ALSO PLEASE PUT RIGHT ANSWERS AND BE SERIOUS.

Mathematics
1 answer:
Andru [333]2 years ago
3 0
# 3 is 4 and # 4 is 1
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Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.

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\dfrac{SQ}{S'Q} = \dfrac{TQ}{T'Q}\\&#10;\\&#10;\dfrac{SQ}{SQ+SS} = \dfrac{TQ}{TQ+TT'}\\&#10;\\ &#10;\dfrac{2}{2+x} = \dfrac{1.2}{1.2+1.5}\\\rm &#10;\\&#10;\dfrac{2}{2+x} = \dfrac{1.2}{2.7}\\\\ \dfrac{2}{2+x} = \dfrac{12}{27}\\\\2(27) = (2+x) 12\\\\ 54 = 24 + 12x\\&#10;\\&#10;12x = 54-24\\&#10;\\&#10;12x=30\\&#10;\\&#10;x = \dfrac{30}{12}\\&#10;\\&#10;x = 2.5

Hence, the distance between points S' and S is x= 2.5 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/16016926

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