The answer is (4)(x)(x) because it’s 4 times 2 x’s
Both terms have a
![-m^2n](https://tex.z-dn.net/?f=-m%5E2n)
in common, so we can pull it out. The factored form will be
![-m^2n](https://tex.z-dn.net/?f=-m%5E2n)
times whatever is left after pulling it out.
In the first term, we will have just 8 left since everything else in the term is factored out.
The second term has a
![7m^4n^3](https://tex.z-dn.net/?f=7m%5E4n%5E3)
left. Notice that both of these terms no longer have a negative sign since the negative was factored out.
The answer is
(AAA) Corresponding angles are congruent.
Therefore, the sides of the triangles are proportional:
cross multiply
use distributive property
subtract 100 from both sides
divide both sides by 100
![x=5](https://tex.z-dn.net/?f=x%3D5)
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(SAS)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Therefore we have the equation:
![3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3](https://tex.z-dn.net/?f=3y-2%3Dy%2B4%5Cqquad%7C%2B2%5C%5C%5C%5C3y%3Dy%2B6%5Cqquad%7C-y%5C%5C%5C%5C2y%3D6%5Cqquad%7C%3A2%5C%5C%5C%5Cy%3D3)
The perimeter of △PQR:
![P=4+6+3y-2=8+3y](https://tex.z-dn.net/?f=P%3D4%2B6%2B3y-2%3D8%2B3y)
Substitute the value of y to the expression:
![P=8+3(3)=8+9=17\ ft](https://tex.z-dn.net/?f=P%3D8%2B3%283%29%3D8%2B9%3D17%5C%20ft)