56 miles, The car traveled m miles during the first hour and m squared miles during the second hour. The ratio m/m squared = 1/7 and cross multiplying yields m squared = 7m, so m=7. This means that the total distance traveled was 7+7squared = 56 miles
Answer:
question 3.3 Answer: Angle 3
question 3.4 Answer: ABD and DBC are complementary angles
question 3.5 Answer: x is 7 degrees (first answer option)
Step-by-step explanation:
First question:
Recall that suplementary angles are those whose addition gives 180 degrees. Therefore the supplementary angle to angle 8 is angle 3.
Second question:
Recall that complementary angles are those angles which added give 90 degrees. Therefore, the only correct answer for this question is the third one: ABD and DBC are complementary angles.
Third question:
Notice that the two angles added should render 90 degrees, therefore, their expression should as well add to 90 degrees. Such can be written in equation form as:
( 6 x - 20 ) + (4 x + 40 ) = 90
combining like terms and later solving for x we get:
6 x + 4 x - 20 + 40 = 90
10 x + 20 = 90
10 x = 90 - 20
10 x = 70
x = 7
Therefore x is 7 degrees
Answer:
x = 20.92°
Step-by-step explanation:
AB² + BC² = AC²
5² + BC² = 14²
BC = 3√19
x = 20.925° ≈ 20.92°
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Create a poster or transparency that shows the two different methods that your team used to find the area of the regular hexagon in part (b) of problem 8-43. Then, as you listen to other teams present, look for strategiesthat are different than yours. For each one, consider the questions below. •Which geometric toolsdoes this method use? •Would this method help find the area of other regular polygons (like a pentagon or 100-gon)?8-45. Which method presented by teams in problem 8-44 seemed able to help find the area of other regular polygons? Discuss this with your team. Then find the area of the two regular polygons below. If your method does not work, switch to a different method. Assume Cis the center of each polygon.a. b. 8-46. So far, you have found the area of a regular hexagon, nonagon, and decagon. How can you calculate the area of anyregular polygon? Write a Learning Log entry describing a general process for finding the area of a polygon with nsides. 8-47. Beth needs to fertilize her flowerbed, which is in the shape of a regular pentagon. A bag of fertilizer states that it can fertilize up to 150 square feet, but Beth is not sure how many bags of fertilizer she should buy. Beth does know that each side of the pentagon is 15 feet long. Copy the diagram of the regular pentagon below onto your paper. Find the area of the flowerbed and tell Beth how many bags of fertilizer to buy. Explain how you found your answer. 15 ft 5 C 11 C
