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jeka57 [31]
3 years ago
12

5x−6=3x+10 PLSPLS HELP

Mathematics
2 answers:
Alchen [17]3 years ago
6 0

Answer:

So x=8 is the answer.

Step-by-step explanation:

5x-6=3x+10

Adding 6 on both sides to find out the value of x

5x-6+6=3x+10+6

5x=3x+16

Subtracting 3x on both sides to find out the value of x

5x-3x=3x-3x+16

2x=16

Dividing 2on both sides

2x/2=16/2

x=8

I hope this will help you :)

vichka [17]3 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

5x−6=3x+10

Step 1: Subtract 3x from both sides.

5x−6−3x=3x+10−3x

2x−6=10

Step 2: Add 6 to both sides.

2x−6+6=10+6

2x=16

Step 3: Divide both sides by 2.

2x /2 = 16/ 2

x=8

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Step-by-step explanation:

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Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

\overline{AE}/\overline{AB} =  \overline{FA}/\overline{AC} = \overline{EF}/\overline{BC}

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides \overline{AE}/\overline{AB} =  \overline{FA}/\overline{AC}

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

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\overline{AE}/\overline{AB} =  \overline{FA}/\overline{AC} = 50 ft. /(100 ft.) =  \overline{EF}/\overline{BC} = \overline{EF}/120 ft.

\overline{EF} = 120 ft. × 50 ft./(100 ft.) = 60 ft.

\overline{EF} = 60 ft.

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