The answer is D because then triangles DEF and ABC would mapped onto one another
Answer:
DF
Step-by-step explanation:
The side opposite the largest angle has the longest measurement
<E has the largest measurement so DF is the longest side
Answer:
6) C
![-2r\left(8r+5\right):\quad -16r^2-10r\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\=-2r\cdot \:8r+\left(-2r\right)\cdot \:5\\=-2\cdot \:8rr-2\cdot \:5r\\\mathrm{Simplify}\:-2\cdot \:8rr-2\cdot \:5r:\quad -16r^2-10r](https://tex.z-dn.net/?f=-2r%5Cleft%288r%2B5%5Cright%29%3A%5Cquad%20-16r%5E2-10r%5C%5C%5Cmathrm%7BApply%5C%3Athe%5C%3Adistributive%5C%3Alaw%7D%3A%5Cquad%20%5C%3Aa%5Cleft%28b%2Bc%5Cright%29%3Dab%2Bac%5C%5C%3D-2r%5Ccdot%20%5C%3A8r%2B%5Cleft%28-2r%5Cright%29%5Ccdot%20%5C%3A5%5C%5C%3D-2%5Ccdot%20%5C%3A8rr-2%5Ccdot%20%5C%3A5r%5C%5C%5Cmathrm%7BSimplify%7D%5C%3A-2%5Ccdot%20%5C%3A8rr-2%5Ccdot%20%5C%3A5r%3A%5Cquad%20-16r%5E2-10r)
<em>7) </em>B
![4a\left(a^2+7a+4\right):\quad 4a^3+28a^2+16a](https://tex.z-dn.net/?f=4a%5Cleft%28a%5E2%2B7a%2B4%5Cright%29%3A%5Cquad%204a%5E3%2B28a%5E2%2B16a)
![\mathrm{Distribute\:parentheses}\\=4aa^2+4a\cdot \:7a+4a\cdot \:4\\=4a^2a+4\cdot \:7aa+4\cdot \:4a\\\mathrm{Simplify}\:4a^2a+4\cdot \:7aa+4\cdot \:4a:\quad 4a^3+28a^2+16a](https://tex.z-dn.net/?f=%5Cmathrm%7BDistribute%5C%3Aparentheses%7D%5C%5C%3D4aa%5E2%2B4a%5Ccdot%20%5C%3A7a%2B4a%5Ccdot%20%5C%3A4%5C%5C%3D4a%5E2a%2B4%5Ccdot%20%5C%3A7aa%2B4%5Ccdot%20%5C%3A4a%5C%5C%5Cmathrm%7BSimplify%7D%5C%3A4a%5E2a%2B4%5Ccdot%20%5C%3A7aa%2B4%5Ccdot%20%5C%3A4a%3A%5Cquad%204a%5E3%2B28a%5E2%2B16a)
<em>Hope this helps and have a great day!!!</em>
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