Step-by-step explanation:
The ratio of the two shorter legs of the top triangle is
![\dfrac{5}{4} = 1.25](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B4%7D%20%3D%201.25)
The bottom triangle has the following ratio:
![\dfrac{7.5}{6} = 1.25](https://tex.z-dn.net/?f=%5Cdfrac%7B7.5%7D%7B6%7D%20%3D%201.25)
Since their ratios are the same, this means that the two triangles are similar.
Try to understand this. Hope this help. Answer for 2 only.
Answer:
![m=\frac{4}{9}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B9%7D)
Step-by-step explanation:
Using the slope formula:
![m=\frac{1+7}{10+8}=\frac{8}{18}=\frac{4}{9}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%2B7%7D%7B10%2B8%7D%3D%5Cfrac%7B8%7D%7B18%7D%3D%5Cfrac%7B4%7D%7B9%7D)
We have that
<span>[6x+5]=1+2*(3x+2)
[6x+5]=1+2*3x+2 --------> is not correct ------->1+ 2*(3x+2)=1+2*3x+2*2
then
</span>[6x+5]=1+6x+4---------------> [6x+5]=[6x+5]
<span>this equation is an identity, all real numbers are solutions.</span>
Answer:
15
Step-by-step explanation:
Follow pemdas and multiply 6 and 2, then divide 9 and 3, finally, add the two together to get 15
6×2+9÷3
12+9÷3
12+3
=15