Answer:
Part 1) The trapezoid has an area of 
Part 2) The kite has an area of 
Part 3) The area of the trapezoid is less than the area of the kite
Step-by-step explanation:
Part 1
Find the area of trapezoid
we know that
The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle
so
![A=2[\frac{1}{2} (2)(5)]+(2)(5)](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5D%2B%282%29%285%29)
Part 2
Find the area of the kite
we know that
The area of the kite is equal to the area of two congruent triangles
so
![A=2[\frac{1}{2} (7)(3)]=21\ m^2](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%287%29%283%29%5D%3D21%5C%20m%5E2)
Part 3
Compare the areas
The trapezoid has an area of
The kite has an area of
so
therefore
The area of the trapezoid is less than the area of the kite
So basically they want you to show 20 answers it already says 4 and you have to find the pattern in this one the pattern is add 6
The correct answer is: [A]: " 4x³ + x² − 11x + 15 " .
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<u>Note</u>:
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(6x³ − 4x + 5) − (2x³ − x² + 7x − 10) ;
= (6x³ − 4x + 5) − 1(2x³ − x² + 7x − 10) ;
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Examine the following portion of the expression:
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" − 1(2x³ − x² + 7x − 10) " ;
= (-1 * 2x³) − (-1 * x²) + (-1 * 7x) − (-1 * 10) ;
= (-2x³) − (-1x²) + (-7x) − (-10) ;
= (-2x³) + 1x² − 7x + 10 ;
= " − 2x³ + 1x² − 7x + 10 " ;
Now, bring down the other part:
6x³ − 4x + 5 − 2x³ + 1x² − 7x + 10 ;
Combine the "like terms" :
6x³ − 2x³ = + 4x³ ;
− 4x − 7x = − 11x ;
+ 5 + 10 = + 15 ;
and bring down the:
+ 1x² ( which equals: " x² ") ;
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And rewrite:
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→ " 4x³ + x² − 11x + 15 " ;
→ which is: Answer choice: [A]: " 4x³ + x² − 11x + 15 " .
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