Please help
15. The scale of a map is 1 inch = 24 miles. How many miles does 125 inches represent?
25 miles
31.25 miles
62.5 miles
49.26 miles
My answer is 25 miles
16. The ramp shown below is used to move crates of fruit to loading docks of different heights. When the horizontal distance AB is 12, meters, the heights of the loading dock, BC is 4 meters. What is the height of the loading dock DE?
12m
8m
9m
15m
My answer 15
17. A bag contains 10 white gold balls and 6 striped gold balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio of whit to striped golf balls to remain the same. How many of each should he add?
I'm not sure how to work this one out.
I tried dividing 112/6 then 112/4
19. Tell whether the pair of polygons is similar. Explain why or why not
1ST POLYGON IS PQ-8FT, QR-13FT, RS-8FT,
2ND POLYGON IS TU-5.2FT, UV-2.4FT, VW-5.2FT
My answer is 8/13=5.2/2.4 = 67.6/19.2
8/13=3.2/2.4=41.6/19.2
So answer no?
Not sure if my equation set up right
For question 15, the scale of the map is given as 1 inch = 24 miles. To find how many miles 125 inches represents, you can set up a proportion using the given scale:
1 inch / 24 miles = 125 inches / x miles
To solve for x (the number of miles), you can cross-multiply and solve for x:
1 * x = 24 * 125
x = 3,000 miles
Therefore, 125 inches on the map represents 3,000 miles. None of the provided answer choices are correct.
For question 16, you are given the horizontal distance AB as 12 meters and the height BC as 4 meters. You need to find the height of the loading dock DE. Since the ramp is a right triangle, you can solve this problem using similar triangles.
The sides AB and BC are corresponding sides of two similar triangles ABF and BCD. Using the property of similar triangles, you can set up the following proportion:
AB/BC = AF/CD
Substituting the given values, you get:
12/4 = AF/DE
Simplifying this equation, you have:
3 = AF/DE
To find DE, you can rearrange the equation:
DE = AF/3
Since AF is not given, it cannot be determined from the information provided. Therefore, it is not possible to determine the height of the loading dock and none of the answer choices are correct.
For question 17, the golfer wants to add 112 golf balls to the bag while maintaining the ratio of white to striped golf balls. Let's denote the number of white golf balls to be added as x and the number of striped golf balls to be added as y.
The ratio of white to striped golf balls in the bag before adding any additional balls is 10/6. To maintain the ratio, we can set up the following proportion:
(10 + x) / (6 + y) = 10/6
Cross-multiplying and simplifying, you get:
60 + 6x = 60 + 10y
This equation shows that the number of white golf balls added (x) should be equal to the number of striped golf balls added (y) to maintain the ratio. Therefore, the golfer should add an equal number of each type. Since the total number of balls to be added is 112, dividing it equally between white and striped balls gives:
x = y = 56
Therefore, the golfer should add 56 white golf balls and 56 striped golf balls to maintain the ratio.
For question 19, two polygons are given with the lengths of their corresponding sides. To determine if they are similar, you need to compare the ratios between corresponding side lengths.
The first polygon has side lengths PQ = 8 feet, QR = 13 feet, RS = 8 feet.
The second polygon has side lengths TU = 5.2 feet, UV = 2.4 feet, VW = 5.2 feet.
To determine if the polygons are similar, compare the ratios of corresponding side lengths:
PQ/TU = 8/5.2 ≈ 1.538
QR/UV = 13/2.4 ≈ 5.416
RS/VW = 8/5.2 ≈ 1.538
Since the ratios of corresponding side lengths are not equal, the polygons are not similar. Therefore, your answer is correct.