Answer:
g
Step-by-step explanation:
The number her mother is thinking of is 6 or less
Answer:
its 41
Step-by-step explanation:
rnsdhzbs sd
Answer:
Part 4) AA Similarity Postulate
Part 5)
The congruent angles are
m<ACB=m<CED , m<ABC=m<CDE, m<BAC=m<DCE
The proportional segments are
![\frac{AB}{DC}=\frac{BC}{DE}=\frac{AC}{CE}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BDC%7D%3D%5Cfrac%7BBC%7D%7BDE%7D%3D%5Cfrac%7BAC%7D%7BCE%7D)
Step-by-step explanation:
Part 4) we know that
If BC is parallel to DE
then
Triangles ABC and CDE are similar by AA Similarity Postulate ( the three interior angles are congruent)
so
m<ACB=m<CED ------> by corresponding angles
m<ABC=m<CDE -----> both angles measure is 90 degrees
m<BAC=m<DCE -----> the sum of the interior angles of a triangle must be equal to 180 degrees
If two figures are similar, then the ratio of its corresponding sides is equal
so
![\frac{AB}{DC}=\frac{BC}{DE}=\frac{AC}{CE}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BDC%7D%3D%5Cfrac%7BBC%7D%7BDE%7D%3D%5Cfrac%7BAC%7D%7BCE%7D)
substitute the values
![\frac{6}{4}=\frac{8}{DE}=\frac{AC}{CE}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7D%3D%5Cfrac%7B8%7D%7BDE%7D%3D%5Cfrac%7BAC%7D%7BCE%7D)
Find DE
![\frac{6}{4}=\frac{8}{DE}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7D%3D%5Cfrac%7B8%7D%7BDE%7D)
![DE=8*4/6=16/3\ units](https://tex.z-dn.net/?f=DE%3D8%2A4%2F6%3D16%2F3%5C%20units)
In the triangle ABC
Applying Pythagoras Theorem
Find AC
![AC^{2}=AB^{2}+BC^{2}](https://tex.z-dn.net/?f=AC%5E%7B2%7D%3DAB%5E%7B2%7D%2BBC%5E%7B2%7D)
![AC^{2}=6^{2}+8^{2}](https://tex.z-dn.net/?f=AC%5E%7B2%7D%3D6%5E%7B2%7D%2B8%5E%7B2%7D)
![AC^{2}=100](https://tex.z-dn.net/?f=AC%5E%7B2%7D%3D100)
![AC=10\ units](https://tex.z-dn.net/?f=AC%3D10%5C%20units)
Find CE
![\frac{6}{4}=\frac{AC}{CE}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7D%3D%5Cfrac%7BAC%7D%7BCE%7D)
![\frac{6}{4}=\frac{10}{CE}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7D%3D%5Cfrac%7B10%7D%7BCE%7D)
![CE=10*4/6=20/3\ units](https://tex.z-dn.net/?f=CE%3D10%2A4%2F6%3D20%2F3%5C%20units)
Answer:
Step-by-step explanation:
Formula:
![v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7Bs%7D%7Bt%7D%20%20%5C%3A%20mph%20%5C%5C%20%20%5C%5C%20when%20%5C%3A%20t%20%3D%203%20%5C%3A%20and%20%5C%3A%20s%20%3D%20180%20%5C%5C%20%20%5C%5C%20v%20%3D%20%20%5Cfrac%7B180%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20v%20%3D%2060%20%5C%3A%20mph)