Please help ive attached a photo!!!!

A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side

kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

$\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}$

b) The shortest side measures 76 mi less than the middle side( in other words, you have to subtract 76 from middle side to get the shortest side)

$x=y-76\Rightarrow equation(2)$

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

$z=y+379\Rightarrow equation(3)$

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\ \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}$

now, replace the y value in equatino (2) to find x

b)

$\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}$

c) finally, prelace x and y value in equation (1) to find z

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}$

so

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0

1 year ago

There were 82 jerseys in the men’s department. The number of jerseys In the kids’ department was 24 times as much as the number

andrew11 [14]

Jerseys in mens department is 82

Jerseys in kids department is 24 times 82

24×82=1968

3 0

3 years ago

Could someone help me with this?

Juli2301 [7.4K]

(4,4)736472i would help but i jus points to do my homework lol

4 0

3 years ago

PLEASE ANSWER + BRAINLIEST!!!!

zavuch27 [327]

Answer:100 + 3.2t = b

Step-by-step explanation: first off i would organize the data then find the varible(s) after you have all of the data organized with the verible(s) then find what number the varibles belong to. after that is done you would make

the equation which should look like 100 + 3.2t = b

8 0

3 years ago

Write an equivalent expression to

mel-nik [20]

1. Distributive Property.
<span>4(3a + 7) + 3(2a + 5)
12a + 28 + 6a + 20

2. Combine like terms
12a + 28 + 6a + 20
18a +48

The equivalent expression is 18a + 48. If a = anything then the expressions will still be equivalent.
</span>

5 0

3 years ago