An isosceles right triangle has a hypotenuse that measures 32 inches. To the nearest inch, what is the measure of each leg of the triangle?​

28 inch  or 27.7 inch

other side is 16 inch

Step-by-step explanation:

We double the triangle and find each hypotenuse for two triangles to determine base as equilateral

32^2 = base

To find height we half base and multiply by slant = 32 inches

32/2 = 16 inch

Height = 32^2 - 16^2 = a^2  = sq rt 1024 - sqrt 256 = sq rt 768

a^2 = sq rt 768 = 27.7128129 = 28 inch  or 27.7 inch

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

20

step-by-step explanation: