Answer:
It should be congruent by the AAS congruence theorem
Step-by-step explanation:
The error is in the congruence theorem.
We know that the 2 angles are congruent and one of the sides are congruent. This means that it can either be congruent by ASA or AAS.
It is actually congruent by AAS because it include two angles and the side is opposite of one of the angles.
ANSWER:
24 points.
The amount of points Leila needs to score in her next game so that her average is 27 points per game is: 24 points.
STEP-BY-STEP EXPLANATION:
Let the amount of points Leila needs to score in her next game so that her average is 27 points per game = x
27 = total no. of points / total no. of games
27 = ( 33 + 28 + 24 + x ) / ( 3 + 1 )
27 = ( 85 + x ) / 4
27 × 4 = 85 + x
85 + x = 108
x = 108 - 85
x = 24
a)
well, she put 4000, and she earned in interest 960, so her accumulated amount is just their sum, 4960.
b)
now, it doesn't say, so we're assuming is <u>simple interest</u>, as opposed to compound interest.
c)
let's make the rate 1% greater then, and check
![\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to \stackrel{8+1}{9\%}\to \frac{9}{100}\dotfill&0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(4000)(0.09)(3)\implies I=1080 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{at 9\%}}{1080}-\stackrel{\textit{at 8\%}}{960}\implies \stackrel{\textit{that much more}}{120}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~%20%5Ctextit%7BSimple%20Interest%20Earned%7D%20%5C%5C%5C%5C%20I%20%3D%20Prt%5Cqquad%20%5Cbegin%7Bcases%7D%20I%3D%5Ctextit%7Binterest%20earned%7D%5Cdotfill%5C%5C%20P%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cdotfill%20%26%20%5C%244000%5C%5C%20r%3Drate%5Cto%20%5Cstackrel%7B8%2B1%7D%7B9%5C%25%7D%5Cto%20%5Cfrac%7B9%7D%7B100%7D%5Cdotfill%260.09%5C%5C%20t%3Dyears%5Cdotfill%20%263%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20I%3D%284000%29%280.09%29%283%29%5Cimplies%20I%3D1080%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bat%209%5C%25%7D%7D%7B1080%7D-%5Cstackrel%7B%5Ctextit%7Bat%208%5C%25%7D%7D%7B960%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bthat%20much%20more%7D%7D%7B120%7D)
Answer:
It looks like a SQUARE to me. Here is the screen shot I graphed it on Desmos.
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
3:2 = 5 people
3:1 = 4 people
5+4=9 people
