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3 years ago

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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Step-by-step explanation:

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