Mathematics: What is the value of eight in 485,002,000

What is the value of eight in 485,002,000 - id485002000617052, gabbypittman20

Shathep

22.11.2021

Given:

ST || RU

To find:

The measure of QS.

Solution:

In triangle QRU and QST,

$\angle RQU\cong \angle SQT$ [Common angle]

$\angle QRU\cong \angle QST$ [Corresponding angle]

$\triangle RQU\sim \triangle SQT$ [AA property of similarity]

The corresponding sides of similar triangles are proportional.

$\dfrac{QR}{QS}=\dfrac{QU}{QT}$

$\dfrac{23}{QS}=\dfrac{25}{25+50}$

$\dfrac{23}{QS}=\dfrac{25}{75}$

$\dfrac{23}{QS}=\dfrac{1}{3}$

On cross multiplication, we get

3(23)=1(QS)

69=QS

Therefore, the measure of QS is 69.

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