Help!!
2 answers:
We have been given two concentric circles centered at G and with radii 5 and 11 respectively.
(1) We are asked to prove that two circles are similar. In order to prove we will dilate the radius of smaller circle with factor of 11/5. Now the radius of dilated circle will be ; which is same as the radius of bigger circle.
Therefore, option (b) is correct.
(2) In the second part we are asked to find out if the circles are not concentric what additional step will be needed to prove both circles similar. If we translate one of these circles we will have the same center and we also need to dilate one of the circles to get them similar.
Therefore, option (d) is the right choice.
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Answer:
The correct answer is the sales tax charged is $5.61 for $66 dinner at 8.5% tax rate.
Step-by-step explanation:
Cost of the dinner is $22. Tax levied on it is $1.87
Let x% is the rate of tax in the city.
Therefore, x% of 22 = 1.87
⇒ x = 1.87 × = 8.5
Therefore 8.5% is the tax rate in the city on foods.
Now another dinner costs $66.
Tax levied on it at the same percentage is given by 8.5% of 66 = $5.61.
Thus $5.61 as sales tax would be charged for a $66 dinner.