In rectangle KLMN, KM =6x +16 and LN =49. Find the value of X

2 answers:

7 0

The answer is 5.5

In a rectangle, lengths of diagonals are equal. If you draw the rectangle, you can see that KM and LN are diagonals, so they must be equal:
KM = LN

KM = 6x + 16
LN = 49

6x + 16 = 49
6x = 49 - 16
6x = 33
x = 33/6
x = 5.5

kumpel [21]3 years ago

7 0

Answer:

5.5 is your best answer took the test and get it right

Step-by-step explanation:

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A rectangular prism has a length of 1/1/4 yards, a width of 2/1/2 yards, and a height of 4 yards. Enter the volume of the prism

dmitriy555 [2]

Prism volume = lbh

= 10*8*12

= 960cm^3

Note: I'm assuming the hole was cut right through it...

Hole volume = lbh

= 2*3*12

= 72cm^3

Final volume = 960 - 72 = 888cm^3

7 0

3 years ago

How do you work out this equation

Gnom [1K]

Answer:

x is equal to negative one, and y is equal to negative four.

Step-by-step explanation:

You can do this by solving one of the equations by either x or y, then substituting it into the other. Let's solve the second one for y:

$2y = 3x - 5\\y = \frac{3x - 5}{2}$

Now we'll substitute that into the first equation:

$9x - 2y = -1\\9x - 2(\frac{3x - 5}{2}) = -1\\9x - 3x + 5 = -1\\6x + 5 = -1\\6x = -6\\x = -1$

So we now know that x is equal to -1. We can simply substitute that into one of the original equations to find y:

$2y = 3x - 5\\2y = 3(-1) - 5\\2y = -3 - 5\\2y = -8\\y = -4$

We now know that x is equal to -1, and y is equal to -4. We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:

$9x - 2y = -1\\9x - 2(-4) = -1\\9x + 8 = -1\\9x = -1 - 8\\9x = -9\\x = -1$