Since angles on both sides are equal, that means the sides are equal as well. Therefore, we can set up an equation and solve for x.

4x = x + 3
3x = 3
x = 1

Then, we plug x = 1 into x + 3, which gives us the length of segment MN as 4.

7 0

4 years ago

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How do i write an equation to find thr nth term ouof the sequence 1,3,5,7 then find a24

solniwko [45]

from 1, to 3, to 5 to 7, notice, is simply adding 2 to get the next term.

1+2 =3, 3+2 =5 and so on.

so the common difference is 2, and the first term is of course 1.

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\[-0.5em]
\hrulefill\\
a_1=1\\
d=2\\
n=24
\end{cases}
\\\\\\
a_{24}=1+(24-1)2\implies a_{24}=1+(23)2\implies a_{24}=1+46\implies a_{24}=47$

5 0

3 years ago