Answer:
X= 8
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given
The scale factor of two similar hexagons is 5:12.
The smaller hexagon has an area of 24 square units
we know, the ratio of two similar figures is equal to the square of the scale factor.
Suppose the area of the larger hexagon is A
![\therefore \dfrac{24}{A}=\left[\dfrac{5}{12}\right]^2\\\\\Rightarrow A=\left[\dfrac{12}{5}\right]^2\times 24\\\\\Rightarrow A=138.24\ \text{square units}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cdfrac%7B24%7D%7BA%7D%3D%5Cleft%5B%5Cdfrac%7B5%7D%7B12%7D%5Cright%5D%5E2%5C%5C%5C%5C%5CRightarrow%20A%3D%5Cleft%5B%5Cdfrac%7B12%7D%7B5%7D%5Cright%5D%5E2%5Ctimes%2024%5C%5C%5C%5C%5CRightarrow%20A%3D138.24%5C%20%5Ctext%7Bsquare%20units%7D)
Answer:
T = 8 + 5 + 6
Step-by-step explanation:
Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.
T = 8 + 5 + 6
The answer to your question would be -8