Question 2. The scale factor is 4/3.
Question 3. The scale factor is 3.
Question 4. x is 12.
Question 5. The perimeter of figure A is 50.
Question 6. The values of x and y are 10 and 21, respectively.
Question 7. The value of x is 9.
Question 2:
Scale factor of figure A to figure B: 4/3
Step-by-step explanation:
The scale factor is the ratio of the corresponding side lengths of the two similar figures. In this case, the corresponding side lengths are 16/4 = 4 and 10/3 = 3.33. Therefore, the scale factor is 4/3.33 = 4/3.
Question 3:
Scale factor of figure A to figure B: 7.2
Step-by-step explanation:
The scale factor is the ratio of the corresponding side lengths of the two similar figures. In this case, the corresponding side lengths are 18/7.2 = 2.5 and 6/7.2 = 0.83. Therefore, the scale factor is 2.5/0.83 = 3.
Question 4:
Value of x: 12
Step-by-step explanation:
The scale factor of figure A to figure B is 4:5. This means that the corresponding side lengths of figure B are 4/5 times the side lengths of figure A. In this case, the corresponding side lengths are x and 9. Therefore, x = (5/4) * 9 = 12.
Question 5:
Perimeter of figure A: 50
Step-by-step explanation:
The scale factor of figure A to figure B is 7:2. This means that the corresponding side lengths of figure B are 7/2 times the side lengths of figure A. In this case, the corresponding side lengths are 15 and 9. Therefore, the perimeter of figure A is 2 * (9 + 15) = 50.
Question 6:
Values of x and y: x = 10 and y = 21
Step-by-step explanation:
The scale factor of figure A to figure B is not given in this question. However, we can use the fact that the corresponding sides of the two similar figures are proportional to find the values of x and y.
We know that the corresponding side lengths of figure A and figure B are 6 and 28, respectively. Therefore, we can set up the following proportion:
6/x = 28/21
Solving for x, we get:
x = 6 * 21 / 28 = 10
We can now use this value of x to find the value of y. We know that the corresponding side lengths of figure A and figure B are 21 and y, respectively. Therefore, we can set up the following proportion:
21/y = 28/x
Substituting x = 10, we get:
21/y = 28/10
Solving for y, we get:
y = 21 * 10 / 28 = 21
Therefore, the values of x and y are 10 and 21, respectively.
Question 7:
Value of x: 9
Step-by-step explanation:
The scale factor of figure A to figure B is not given in this question. However, we can use the fact that the corresponding sides of the two similar figures are proportional to find the value of x.
We know that the corresponding side lengths of figure A and figure B are 49 and 14, respectively. Therefore, we can set up the following proportion:
49/x = 14/9
Solving for x, we get:
x = 49 * 9 / 14 = 31.5
However, the corresponding sides of two similar figures must be integers. Therefore, we must round this value of x to the nearest integer. Rounding 31.5 to the nearest integer, we get 9. Therefore, the value of x is 9.