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Maslowich
3 years ago
6

Find length of each side

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Option b: 10 in, 18.5 in, 31.5 in.

Explanation:

The three sides of a triangle are 2y+1, 3y+5 and 7y

The perimeter of the triangle is 60 in.

Since, Perimeter = all sides of the triangle

Let us add all the three sides to determine the length of each side.

Perimeter=2y+1+3y+5+7y

Substituting the value of Perimeter and simplifying, we get,

60=12y+6\\54=12y\\4.5=y

Substituting y=4.5 in the three sides of the triangle 2y+1, 3y+5 and 7y, we get,

2y+1=2(4.5)+1=10 in

3y+5=3(4.5)+5=18.5 in

7y=7(4.5)=31.5 in

Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.

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The meal cost$ 54.65 and they want to leave they waiter a 20% how much should the tip be
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Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32
Inga [223]

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-10-(44+8*x)=0

Pull out like factors :

  -6x - 54  =   -6 • (x + 9)

  -6   =  0

 Solve  :    x+9 = 0

Subtract  9  from both sides of the equation :

                     x = -9

x = -9

Move all terms containing

x

to the left side of the equation.

4

x

−

4

=

20

Move all terms not containing

x

to the right side of the equation.

4

x

=

24

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

2x

2

=

−14

2

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

4 0
3 years ago
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