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Airida [17]
2 years ago
10

GEOMETRY - triangle similarity

Mathematics
2 answers:
Neko [114]2 years ago
6 0

Answer:

1) tri ABC ~ tri DEF

2) angle B ~ angle E

3) x= 4.5

4) ?= BC

Step-by-step explanation:

hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)

1) I just matched up the letters, A to D, B to E, C to F

You can also use ratios, but if you dont need an explanation then ignore it.

2) matched up the angles: B corresponds to E

3) Ratio: 6/16 = x/12

              16x = 72   cross multiply

                 x = 4.5

4) Again, just match up the sides

BC corresponds to EF

hope this helps :D best of luck

lisabon 2012 [21]2 years ago
5 0

Answer:

ΔABC ≈ ΔDEF

∡B ≅ ∡E

x = 4.5

BC is similar to EF

Step-by-step explanation:

to find 'x':

6/16 = x/12

16x = 72

x = 4.5

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Answer:

157.3-1.96\frac{15.6}{\sqrt{234}}=155.301    

157.3+1.96\frac{15.6}{\sqrt{234}}=159.299    

So on this case the 95% confidence interval would be given by (155.301;159.299)    

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Step-by-step explanation:

Information given

\bar X=157.3 represent the sample mean

\mu population mean (variable of interest)

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Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The Confidence level is is 0.95 or 95%, the significance is \alpha=0.05 and \alpha/2 =0.025, the critical value for this case would be z_{\alpha/2}=1.96

And replacing we got:

157.3-1.96\frac{15.6}{\sqrt{234}}=155.301    

157.3+1.96\frac{15.6}{\sqrt{234}}=159.299    

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