Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
Answer:
x= -3
Step-by-step explanation:
hello :
-2x+7=-6x-5
-2x+7+6x=-6x-5 +6x
4x+7=-5
4x+7-7=-5-7
4x= -12
x= -12/4
x= -3
Answer:
108 is your answer.
Step-by-step explanation:
1 x + 2x + 3x = 180
10 x = 180
x = 180/ 10
x = 18
Then
18 X 6 = 108
I HOPE IT WILL HELP YOU.
Have a great day.
it's me Sopnila.
❤❤❤
The answer is E hope this helps
Answer:
just do the cross multiplication method
