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Vilka [71]
3 years ago
13

The length of one side of a triangular lot is 6 m less than 3 times the length of the second side. The third side is 8 m longer

than the first side. The perimeter of the lot is 80 m. Find the length of all three sides.
Mathematics
1 answer:
Tanya [424]3 years ago
8 0

second side = x

first side = 3x - 6

third side = (3x - 6) + 8

The perimeter = 80m and is equal x + (3x - 6) + [(3x - 6) + 8]

x + 3x - 6 + 3x - 6 + 8 = 80

7x - 4 = 80 |+4

7x = 84 |:7

x = 12 m

3x - 6 = 3(12) - 6 = 30 m

(3x - 6) + 8 = 3x + 2 = 3(12) + 2 = 38 m

Answer: 12m, 30m, 38m

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Arlecino [84]
For the first triangle the sum of angles in any given triangle is equal to 180 degrees.

The equation for the first triangle would be: 60+80+x+51= 180

Solving it we get: 191+x=180
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The second triangle’s equation is: 90+45+52+x= 180

Solving it we get: 187+x=180
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The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.

Solving it we get: 12.2 (rounding)
x=about 12.2

For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)

Solving it we get: 11x=110
x=10.

Hope this helps! ( and if you can please give brainliest, it would mean a lot!)
6 0
3 years ago
Read 2 more answers
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Olenka [21]
Easy
y=2x-7
sub 2x-7 for every y you se inother equation
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sub back

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y=2(3)-7
y=6-7
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(3,-1) is solution
5 0
4 years ago
kevin has a yearly income of $68,280. His total state and federal income tax for the year is $12,048. What is his monthly net in
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7 0
3 years ago
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Irina-Kira [14]

Answer:

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Step-by-step explanation:

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