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:
46
Step-by-step explanation:
Solution :
Remember that the sum of complementary angles is always 90°.
First, finding the value of x :
Set up an equation :
( Being complementary angles )
Solve for x
{ Remove unnecessary parentheses }
{ Combine like terms }
{ Subtract 3 from 30 }
{ Move 27 to right hand side and change it's sign }
{ Subtract 27 from 90}
{ Divide both sides by 9 }
The value of X is 7°
Now, Replacing the value of x in order to find the value of B
{ Plug the value of x }
{ Multiply 7 by 7 }
{ Subtract 3 from 49 }
The measure of B is 46°
Answer:
it is b
Step-by-step explanation:
Answer:
20,800
Step-by-step explanation:
