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.
Tip:
draw a diagonal and compare triangles ;)
Answer:
D
Step-by-step explanation:
Firstly let's see definition of Rational numbers ,
<u>Rational</u><u> numbers</u><u> </u><u>:</u><u>-</u><u> </u>
- The number in the form of p/ q where p and q are integers and q is not equal to zero is called a Rational number .
From the options , look at option D ,its
→ √400
→ √{20²}
→ 20
<h3>
Hence option D is correct.</h3>
Answer:
c≥5
Step-by-step explanation:
hope that helps :)
How does what work, you didn’t attach a photo or give choices…
