3 years ago

Can someone please help me with question 4

Mathematics

1 answer:

Andrej [43]3 years ago

5 0

Answer:

So angle 3 is congruent to angle 4 because they are both complimentary to 1 and 2.

By SAS, triangle SNM is congruent to triangle SNF.

By CPCTC, angle QMN is congruent to angle RFN.

By AAS, triangle QMN is congruent to RNF.

So by CPCTC, QM=RP

You might be interested in

The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g

Over [174]

$\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}$

$\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12$

7 0

3 years ago

Read 2 more answers

Which is the greater than or less than sign I cannot remember it is confusing sorry if you help thank you!

iVinArrow [24]

< greater than
> less than

4 0

4 years ago

Read 2 more answers

I need help with question 2 Only

kiruha [24]

The correct answer is C