Question

please don't spam it's my number request to you all
spam will reported
don't answer I don't know
explain how answer come
not write only answer
​

Answer 1

$\Huge\text{(D) 1225}$

$\huge\text{\underline{\underline{Question}}}$

How many connecting bars will there be in pattern 123?

$\huge\text{\underline{\underline{Review}}}$

$\Large\text{\{Varibles\}}$

$\large\text{ \rightarrow Dependent \& independent variables}$

Let's first see what dependent and independent variables are.

$\text{ \bullet \ Dependent variables: These are affected by independent variables.}$

$\text{ \bullet \ Independent variables: These change values to affect independent variables.}$

$\huge\text{\underline{\underline{Explanation}}}$

The higher the pattern goes, every five connecting bars joins the outer pentagon. As well, so does the extra connecting bars joining the inner and outer pentagon.

So, with every step, the number of the connecting bars increases by 10.

We can write this in the form of a linear equation.

$\text{ \cdots\longrightarrow (Total connecting bars) = 10 \times \{(Pattern No.) - 1\} + 5}$

$\text{ \cdots\longrightarrow (Total connecting bars) = 10 \times (Pattern No.) - 5}$

Here, the independent variable is the pattern number, so let that be $x$. The dependent variable is the total connecting bars, so let that be $y$.

$\cdots\longrightarrow y=10x-5$

If we substitute $x=123$, we get -

$\cdots\longrightarrow y=10\times123-5$

$\cdots\longrightarrow y=1225$

$\huge\text{\underline{\underline{Final answer}}}$

So, there will be $\boxed{\text{(D) 1225}}$ connecting bars in pattern 123.

Answer 2

Answer:

(D) 1225.

$thanks$