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Gemiola [76]
3 years ago
9

A bike path crosses a road as shown. Solve for each indicated angle measure or variable.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0
Given:
84° angle
4x angle
angle M  

The angle that measures 84° and the angle that measures 4x are vertical angles. This means that their angle measures are congruent. Thus, the value of x is 21°

84° = 4x
84° / 4 = x
21° = x

Angle M and the angle that measures 84° are supplementary angles. This means that the sum of their measure equals 180°. Thus, angle M measures 96°.

84° + M = 180°
M = 180° - 84°
M = 96°

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We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18  (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

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