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3 years ago

In the diagram below, ab and bc are tangent to o. what is the measure of adc

Mathematics

2 answers:

vladimir1956 [14]3 years ago

8 0

Answer:

The correct option is B. 252°

Step-by-step explanation:

There are 360° in the circle.

So using the relation :

$\frac{\text{(arc ADC - arc AC)}}{2} = \angle ABC$

⇒ arc ADC - arc AC = 2 × ∠ABC

⇒ arc ADC - 108° = 2 × 72°

⇒ arc ADC - 108° = 144°

⇒ arc ADC = 144° + 108°

⇒ arc ADC = 252°

So, The measure of ∠ADC = 252°

Hence, The correct option is B. 252°

Andrej [43]3 years ago

4 0

Answer:

Step-by-step explanation: 252 apex

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Step-by-step explanation:

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We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ .

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Replacing the values provided we got:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

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