Answer:
(C) Sophie used the wrong height for the pyramid.
Step-by-step explanation:
she should have subtracted 4 from 30 because that was apart of the prism
Well, if the $203 is after taking off the $15 for the coupon, then just add 15 and the retail price is $218
Hello from MrBillDoesMath!
Answer: SAS = side - angle -side congruence
SSS = side - side - side congruence
Discussion
:
In Plane Geometry, identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.
In one approach ("SSS") if you can show that 2 triangles have identical side lengths, then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)
In another approach ("SAS") if you can show that 2 sides, and the angle included between those sides, in one triangle are identical to the sides and included angle in another triangle, then the triangles are congruent
It's easier to understand this with a picture or diagram than in words. Please review the SSS, SAS picture in your textbook
Regards, MrB
Answer:
The line passes through
.
Graph is attached.
Step-by-step explanation:
Line passing through the point
and slope
:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![Compare\ y-3=\frac{4}{3}(x+2)\ with\ the\ standard\ form\\\\x_1=-2,\ y_1=3\ and\ m=\frac{4}{3}\\\\This\ is\ equation\ of\ line\ passing\ through\ (-2,3)\ and\ having\ slope(m)=\frac{4}{3}\\\\Slope=\tan \theta\\\\\tan\theta=\frac{4}{3}\\\\\theta=\tan^{-1} \frac{4}{3}\\\\\theta=53.13\textdegree\\\\Hence\ line\ passes\ through\ (-2,3)\ and\ makes\ an\ angle\ 53.13\textdegree\ with\ the\ x-axis](https://tex.z-dn.net/?f=Compare%5C%20y-3%3D%5Cfrac%7B4%7D%7B3%7D%28x%2B2%29%5C%20with%5C%20the%5C%20standard%5C%20form%5C%5C%5C%5Cx_1%3D-2%2C%5C%20y_1%3D3%5C%20and%5C%20m%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5CThis%5C%20is%5C%20equation%5C%20of%5C%20line%5C%20passing%5C%20through%5C%20%28-2%2C3%29%5C%20and%5C%20having%5C%20slope%28m%29%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5CSlope%3D%5Ctan%20%5Ctheta%5C%5C%5C%5C%5Ctan%5Ctheta%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5Ctheta%3D%5Ctan%5E%7B-1%7D%20%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5Ctheta%3D53.13%5Ctextdegree%5C%5C%5C%5CHence%5C%20line%5C%20passes%5C%20through%5C%20%28-2%2C3%29%5C%20and%5C%20makes%5C%20an%5C%20angle%5C%2053.13%5Ctextdegree%5C%20with%5C%20the%5C%20x-axis)
Sketch:
Y-intercept:
![substitute\ x=0\\\\y-3=\frac{4}{3}\times 2\\\\y=\frac{8}{3}+3\\\\y=\frac{17}{3}\\\\line\ passes\ through\ (0,\frac{17}{3}).](https://tex.z-dn.net/?f=substitute%5C%20x%3D0%5C%5C%5C%5Cy-3%3D%5Cfrac%7B4%7D%7B3%7D%5Ctimes%202%5C%5C%5C%5Cy%3D%5Cfrac%7B8%7D%7B3%7D%2B3%5C%5C%5C%5Cy%3D%5Cfrac%7B17%7D%7B3%7D%5C%5C%5C%5Cline%5C%20passes%5C%20through%5C%20%280%2C%5Cfrac%7B17%7D%7B3%7D%29.)
x-intercept:
![substitute\ y=0\\\\-3=\frac{4}{3}(x+2)\\\\x+2=-\frac{3}{4}\times 3\\\\x=-\frac{9}{4}-2\\\\x=-\frac{17}{4}\\\\Line\ passes\ through\ (-\frac{17}{4},0).](https://tex.z-dn.net/?f=substitute%5C%20y%3D0%5C%5C%5C%5C-3%3D%5Cfrac%7B4%7D%7B3%7D%28x%2B2%29%5C%5C%5C%5Cx%2B2%3D-%5Cfrac%7B3%7D%7B4%7D%5Ctimes%203%5C%5C%5C%5Cx%3D-%5Cfrac%7B9%7D%7B4%7D-2%5C%5C%5C%5Cx%3D-%5Cfrac%7B17%7D%7B4%7D%5C%5C%5C%5CLine%5C%20passes%5C%20through%5C%20%28-%5Cfrac%7B17%7D%7B4%7D%2C0%29.)
Sketch the line passes through
.