After 3 years he will have $13310
Hope this helps
Answer:
No, rectangles must have congruent diagonals.
Step-by-step explanation:
The line of length 48 is passing through the midpoint of traingle so it's half of base
![\\ \sf\longmapsto \dfrac{3x}{2}=48](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Cdfrac%7B3x%7D%7B2%7D%3D48)
![\\ \sf\longmapsto 3x=96](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%203x%3D96)
![\\ \sf\longmapsto x=32](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%3D32)
Answer:
80 units²
Step-by-step explanation:
Given <u>vertices</u> of a rectangle:
- A = (-8, 5)
- B = (2, 5)
- C = (2, -3)
- D = (-8, -3)
As points A and D share the <u>same x-coordinate</u>, and points B and C share the <u>same x-coordinate</u>, the difference between the different <u>x-coordinates</u> is the length of the rectangle:
![\begin{aligned}\implies \textsf{Length} & = x_B-x_A\\& = 2-(-8)\\& = 2+8\\& = 10\; \sf units\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20%5Ctextsf%7BLength%7D%20%26%20%3D%20x_B-x_A%5C%5C%26%20%3D%202-%28-8%29%5C%5C%26%20%3D%202%2B8%5C%5C%26%20%3D%2010%5C%3B%20%5Csf%20units%5Cend%7Baligned%7D)
As points A and B share the <u>same y-coordinate</u>, and points C and D share the <u>same y-coordinate</u>, the difference between the different <u>y-coordinates</u> is the width of the rectangle:
![\begin{aligned}\implies \textsf{Width} & = y_A-y_D\\& = 5-(-3)\\& = 5+3\\& = 8\; \sf units\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20%5Ctextsf%7BWidth%7D%20%26%20%3D%20y_A-y_D%5C%5C%26%20%3D%205-%28-3%29%5C%5C%26%20%3D%205%2B3%5C%5C%26%20%3D%208%5C%3B%20%5Csf%20units%5Cend%7Baligned%7D)
Therefore:
![\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\&=8 \times 10\\&=80 \sf \; units^2\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BArea%20of%20a%20rectangle%7D%20%26%20%3D%20%5Csf%20width%20%5Ctimes%20length%5C%5C%26%3D8%20%5Ctimes%2010%5C%5C%26%3D80%20%5Csf%20%5C%3B%20units%5E2%5Cend%7Baligned%7D)
The answer is 63:)))) promise this is correct 10000%