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lara [203]
3 years ago
5

The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

Mathematics
2 answers:
Luden [163]3 years ago
8 0
23/x = 40/17
23(17) = 40x
391/40 = x
9.775 = x
KonstantinChe [14]3 years ago
4 0

The pair of triangle shown in the diagram are similar. Similar triangle have proportional corresponding sides. So you can write a proportion connecting all given known and unknown sides:

\dfrac{23}{40}=\dfrac{x}{17}.

From here you have that

40\cdot x=23\cdot 17,\\ \\x=\dfrac{23\cdot 17}{40}=\dfrac{391}{40}=9.775\approx 9.8\ cm.

Answer: 9.8 cm.


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