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:
a= 180-60-55=65
we know that the angle of a flat(?) ground would be 180, so we can take away the 60 and 55 to find a.
b=180-90-65=25
the sum of interior angle of a triangle would be 180, now we know what a is, also the right angle is 90, now we can take away the 90 and 65 to find b.
c=25
c is 25, because two angles on both sides of a X is the same
which follows from the usual change of coordinates via
and Jacobian determinant
Swap the order, so that the integral is
and now let
, so that
. Now, you have
ANSWER:
We know that angle fromed by same arc are congruent. so
∠ACB ~ ∠ADB
∠CAD ~ ∠CBD
Therefore, ΔCAF ~ ΔDBF by AA similarity. So, By CPCT
arcAC = arcBD.
the answer you're choosing is correct
