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ohaa [14]
3 years ago
8

What is the value of x? Enter your answer, as a decimal, in the box.

Mathematics
2 answers:
Katarina [22]3 years ago
8 0

Answer:

x=50.6cm

Step-by-step explanation:

Triangle MAB is similar to triangle MNP

Since the triangles are similar, the corresponding ratios are in the same proportion.

Therefore we can write the relation;

\frac{|MB|}{|MP|}=\frac{|MA|}{|MN|}


\frac{x}{72.6}=\frac{46.2-14}{46.2}


This implies that;

\frac{x}{72.6}=\frac{32.2}{46.2}


We multiply both sides by 72.6 to get


\frac{x}{72.6}\times 72.6=\frac{32.2}{46.2}\times72.6


\Rightarrow x=50.6


Hence the value of x is 50.6 cm



Anna007 [38]3 years ago
4 0
46.2 - 14 = 32.2
so
32.2 / 46.2 = x/72.6
x = 32.2 * 72.6 /46.2
x = 50.6

answer
x = 50.6 cm
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