Answer:
Both of these triangles are congruent.
Step-by-step explanation:
All 3 angle measures of both of the triangles are equivalent and correlate to each other. This makes the triangles congruent.
Answer:
= 30 km
Step-by-step explanation:
12.5 * 240/100
<em><u>= 30 km</u></em>
Answer:
number one 2.7052932226
number two 2.0870584201
Step-by-step explanation:
multiply the 'n' values altogether and take out the nth root of the numbers, where n is the total number of values. For example: for a given set of two numbers such as 8 and 1, the geometric mean is equal to √(8×1) = √8 = 2√2.
let's do so using substitution
![\bf \begin{cases} -3x-4y=-14\\ 9x+2y=22 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{solving for "y" in the 1st equation}~\hfill }{-3x-4y=-14\implies -3x+14-4y=0} \\\\\\ -3x+14=4y\implies \cfrac{14-3x}{4}=\boxed{y} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting "y" in the 2nd equation}}{9x+2\left( \boxed{\cfrac{14-3x}{4}} \right)=22}\implies 9x+\cfrac{14-3x}{2}=22](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20-3x-4y%3D-14%5C%5C%209x%2B2y%3D22%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bsolving%20for%20%22y%22%20in%20the%201st%20equation%7D~%5Chfill%20%7D%7B-3x-4y%3D-14%5Cimplies%20-3x%2B14-4y%3D0%7D%20%5C%5C%5C%5C%5C%5C%20-3x%2B14%3D4y%5Cimplies%20%5Ccfrac%7B14-3x%7D%7B4%7D%3D%5Cboxed%7By%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bsubstituting%20%22y%22%20in%20the%202nd%20equation%7D%7D%7B9x%2B2%5Cleft%28%20%5Cboxed%7B%5Ccfrac%7B14-3x%7D%7B4%7D%7D%20%5Cright%29%3D22%7D%5Cimplies%209x%2B%5Ccfrac%7B14-3x%7D%7B2%7D%3D22)
![\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( 9x+\cfrac{14-3x}{2}\right)=2(22)}\implies 18x+(14-3x)=44\implies 15x+14=44 \\\\\\ 15x = 30\implies x = \cfrac{30}{15}\implies \blacktriangleright x = 2\blacktriangleleft \\\\\\ \stackrel{\textit{since we know that }}{\cfrac{14-3x}{4}=y}\implies \cfrac{14-3(2)}{4}=y\implies \cfrac{14-6}{4}=y\implies \blacktriangleright 2 = y \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,2)~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B2%7D%7D%7B2%5Cleft%28%209x%2B%5Ccfrac%7B14-3x%7D%7B2%7D%5Cright%29%3D2%2822%29%7D%5Cimplies%2018x%2B%2814-3x%29%3D44%5Cimplies%2015x%2B14%3D44%20%5C%5C%5C%5C%5C%5C%2015x%20%3D%2030%5Cimplies%20x%20%3D%20%5Ccfrac%7B30%7D%7B15%7D%5Cimplies%20%5Cblacktriangleright%20x%20%3D%202%5Cblacktriangleleft%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bsince%20we%20know%20that%20%7D%7D%7B%5Ccfrac%7B14-3x%7D%7B4%7D%3Dy%7D%5Cimplies%20%5Ccfrac%7B14-3%282%29%7D%7B4%7D%3Dy%5Cimplies%20%5Ccfrac%7B14-6%7D%7B4%7D%3Dy%5Cimplies%20%5Cblacktriangleright%202%20%3D%20y%20%5Cblacktriangleleft%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20%282%2C2%29~%5Chfill)
Answer:
(1/2, -3)
Step-by-step explanation:
y = 4x – 5
y= -3
substitute y into the firt formula,
-3=4x-5
4x=2
x=1/2
