Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.
1. DE is equal to CD by definition since D is the midpoint of CE.
2. AE is equal to BC since opposite sides of a rectangle are equal to each other.
3. Angle AEC is equal to Angle BCE since all angles in a rectangle are right angles and all right angles are equal to each other.
4. Triangles ADE and BDC are congruent to each other because we have SAS congruence for both triangles.
5. AD is congruent to BC since they're corresponding sides of congruent triangles.
Answer:
35 mi²
Step-by-step explanation:
Let's subdivide the figure, as shown.
The lower part is a rectangle whose area is (5 mi)(18 mi) = 90 mi².
The upper part is a trapezoid whose area is found by averaging the length and multiplying the result by the width (8 mi - 5 mi), or 3 mi.
Area of trapezoid:
12 mi + 18 mi
------------------------ = 15 mi Width of trapezoid = 3 mi
2
Thus, the area of the trapezoid is (3 mi)(15 mi) = 45 mi²
and the total area of the entire figure is
45 mi² + 90 mi² = 135 mi²
Answer:
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Answer:
![\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdisplaystyle%20%5Csqrt%5B3%5D%7Bx%5E%7B-%5Ctfrac%2035%7D%7D%5Cright%29%5E%7B%5Ctfrac%2058%7D)
Step-by-step explanation:
![\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdisplaystyle%20%5Csqrt%5B3%5D%7Bx%5E%7B-%5Ctfrac%2035%7D%7D%5Cright%29%5E%7B%5Ctfrac%2058%7D%5C%5C%5C%5C%5C%5C%3D%5Cleft%5B%20%5Cleft%28%5Cdisplaystyle%20x%5E%7B-%5Ctfrac%2035%7D%20%5Cright%29%5E%7B%5Ctfrac%2013%20%5Cright%5D%5E%7B%5Ctfrac%2058%7D%5C%5C%5C%5C%5C%5C%3D%5Cleft%28%20%5Cdisplaystyle%20x%5E%7B-%5Ctfrac%2035%7D%5Cright%29%5E%7B%5Ctfrac%205%7B24%7D%7D%5C%5C%5C%5C%5C%5C%3Dx%5E%7B%20%5Cdisplaystyle%20-%5Ctfrac%7B3%7D%7B24%7D%20%20%5Cright%7D%5C%5C%5C%5C%5C%5C%3Dx%5E%7B%5Cdisplaystyle%20-%5Ctfrac%2018%20%20%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%201%7Bx%5E%7B%5Ctfrac%2018%7D%7D)
Answer:
1.5
Step-by-step explanation:
if you do 3 divided by 4 then you get 0.75 then you have to do 0.75 times 2 and you get 1.5 dollars for 2 pounds
