3 years ago

What additional information can be used to prove ΔDSB ≅ ΔTSR by SAS?

2 answers:

8 0

Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.

As per that diagram, $RS\cong SB$ (which is given)

and we know that $\angle DSB\cong \angle RST$ (vertically opposite angles).

Thus, the only way ΔDSB ≅ ΔTSR by SAS is when $DS\cong ST$ as indicated in the diagram.

Thus, $DS\cong ST$ is the correct answer.

Ugo [173]3 years ago

6 0

I believe the correct answer is
ST≈SD

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Step-by-step explanation:

Let p be the true proportion of water specimens that contain detectable levels of lead. The point estimate for p is $\hat{p}=26/42=0.6190$ . The estimated standard deviation is given by $\sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{(0.6190)(1-0.6190)/42}=0.0749$ . Because we have a large sample, the 90% confidence interval for p is given by $0.6190\pm z_{0.05}0.0749$ where $z_{0.05}=1.6448$ is the value that satisfies that above this and under the standard normal density there is an area of 0.05. So, the confidence interval is $0.6190\pm (1.6448)(0.0749)$ , i.e., (0.4958, 0.7422).