Answer:
3(9m + 13) - (m + 10) = 1
Step-by-step explanation:
Here, we want to write an equation we can use to find the age of Mario.
Let the present age of Mario be M
Age of Sarah is 3 years older than 9
times Mario’s age
Mario’s age is thus;
9m + 3
In ten years, she will be 1 less than triple his age
In 10 years time, sarah age will be 9m +
3 + 10 = 9m + 13
Mario age will be m + 10
Mathematically;
3(9m + 13) - (m + 10) = 1
Answer:
1%
Step-by-step explanation:
\text{\color{blue}{100\%} represents the \color{blue}{starting balance}: \color{blue}{\$50}.}
100% represents the starting balance: $50.
Method 1
Express the ending balance as a percentage of the starting balance:
\frac{\color{darkviolet}{\$50.50}}{\color{blue}{\$50}}=
$50
$50.50
=
\,\,1.01
1.01
1.01\times100=
1.01×100=
\,\,\color{darkviolet}{101\%}
101%
\text{Subtract the starting \color{blue}{100\%} to get the \color{green}{percent interest}:}
Subtract the starting 100% to get the percent interest:
\color{darkviolet}{101\%}-\color{blue}{100\%}=
101%−100%=
\,\,\boxed{\color{green}{1\%}}
1%
It is 23/100 just say it and then write it
Answer:
Step-by-step explanation:
6-3x=12-6x
Only one solution of x=2
Answer:
ΔPTS≅ΔRTA by AAS axiom of congruency
Step-by-step explanation:
Consider ΔPQA and ΔRQS
∠PQA=∠RQS (Vertically Opposite Angles)
∠QAP=∠QSR (Complementary of two equal angles, ∠RAT and∠PST)
Due to angle sum property of a triangle, we come to the conclusion that
∠APQ=∠SRQ
Consider ΔPTS and ΔRTA
TA=TS (Given)
∠RAT=∠PST(Given)
∠APQ=∠SRQ (Proved above)
Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.
