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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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<span>Let's summarize the facts:

the tape is 75 feet long

the bedroom is 12 feet by 14 feet. 

1. Tell how you can critique Jason’s reasoning.

If you want to Critique Jason's reasoning, you could a) ask yourself the same questions that Jason did and see if you would come with the same answers and used the same analysis or b) analyse Jason's answer to see if he did a mistake or missed an important detail and made a thought mistake


2. Critique Jason’s reasoning

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? 
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So Jason made a mistake here! his actual answer should be 2*(12+14)=2*26=52, so the tape of 75 feet would have been enough!</span><span>

3. Jason uses an overestimate to decide how many rolls of wallpaper he needs for another’s room. Explain why his reasoning to use an overestimate does or does not make sense

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