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Ghella [55]
3 years ago
10

I am having trouble with this ​

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:

x=16

Step-by-step explanation:

If the triangles are similar then their sides are in proportion.

Set the proportions 20/(3x+8)=(x-1)/(x-1+27)

solve for x,

cross multiply

20(x+26)=(x-1)(3x+8),

distribute

20x+520= 3x² +8x-3x-8,

combine like terms

3x²-15x-528=0

solve using quadratic formula

x=16 and x= -11 reject because we cannot have negative measurements

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A forest ranger stands at the top of a 120 foot fire tower. He spots a fire 900 feet away from the base of the tower. What is th
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