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Nutka1998 [239]
3 years ago
9

The total length of four blue banners and five yellow banners is 49 m. The total length of two blue banners and one yellow banne

r is 17 m. All banners of the same color have the same length. Find the length of each blue banner
Mathematics
1 answer:
asambeis [7]3 years ago
7 0
x-length\ of\ blue\ banner\\y-length\ of\ yellow\ banner\\\\ \left \{ {{4x+5y=49} \atop {2x+y=17}} \right. \\\\From\ second\ equation:\\y=17-2x\\\\Substitute\ to\ first\ equation:\\4x+5(17-2x)=49\\4x+85-10x=49\\4x-10x=49-85\\-6x=-36\ \ \ \ |:-6\\x=6\\\\Length\ of\ each\ blue\ banner\ is\ 6m.
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3 Units

Step-by-step explanation:

Secant RM intersects secant RN at point R.

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To determine the length of RQ, we use the Theorem of Intersecting Secants.

Applying this on the diagram, we have:

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We will check the options to find which shows a difference of squares.

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