A mapmaker has successfully mapped Carlisle Street and River Avenue, as shown in the diagram. The last step is to map Beacon Street correctly. To save time, the mapmaker intends to measure just one more angle or side of the triangle. Which angle(s) or side(s) could the mapmaker measure to be sure that only one triangle is possible? For each angle or side that you name, justify your answer. Suppose that instead of measuring the length of Carlisle Street, the mapmaker measured ∠A and ∠C along with ∠B. Would the measures of the three angles alone assure a unique triangle? Explain.

/is used for a fraction 1) if x = 2/3 and y = 3/4, what is the value of (x + y) (x/y) expressed as a common fraction? 2) what is the least positive integer greater than 1 that leaves a remainder of 1 when divided by each of 2, 3, 4, 5, 6, 7, 8, and 9? 3) the ponde family's powerjet pumps 420 gallons of water per hour. at this rate, how many gallons of water will it pump in 45 minutes? 4) kim's insurance company pays 80% of the cost of all prescription medication she purchases in a year beyond the first $250 worth of prescriptions. her prescriptions for this year cost a total of $570. how many dollars of this amounts will kim's insurance company pay?

In the diagram, the ratio of ab to ae is (1/2) . what is the ratio of the length of to the length of ?

The table represents a linear function. what is the slope of the function? –6 –4 4 6