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Sergeeva-Olga [200]
3 years ago
7

Triangles QPT and QRS are similar. Find x.

Mathematics
2 answers:
Step2247 [10]3 years ago
6 0

Answer:

from those are similar, the ratio of side will be 40/24=x/20 so x=33.3333 is equal 33 and one-third.

Mila [183]3 years ago
5 0

Answer:

x = 33 \frac{1}{3}

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{PT}{RS} = \frac{QT}{QS}, substitute values

\frac{24}{20} = \frac{40}{x} ( cross- multiply )

24x = 800 ( divide both sides by 24 )

x = \frac{800}{24} = 33 \frac{1}{3}

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