Solving a system of linear equations, we conclude that the measure of side Z is 2√13
<h3>How to find the measure of side Z?</h3>
Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.
In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.
x^2 = y^2 + 4^2
z^2 = y^2 + 9^2
(4 + 9)^2 = z^2 + x^2
We want to solve that for z.
Now, the second equation can be rewritten to:
y^2 = z^2 - 9^2
Now let's replace the first equation into the third one, so we get:
(4 + 9)^2 = z^2 + (y^2 + 4^2)
Now we can replace y^2 by z^2 - 9^2
(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)
Now we can solve this:
(13)^2 = z^2 + z^2 - 9^2 + 4^2
(13)^2 + 9^2 - 4^2 = 2*z^2
104/2 = z^2
52 = z^2
√52 = z
√(4*13) = z
√4*√13 = z
2√13 = z
We conclude that the measure of side Z is 2√13
If you want to learn more about systems of equations:
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x + x + 1 + x + 2 = 5x - 29
Combine like terms.
3x + 3 = 5x - 29
Subtract 3x from both sides.
3 = 2x - 29
Add 29 to both sides.
32 = 2x
Divide both sides by 2.
16 = x
<h3>The first digit is 16.</h3><h3>The second digit is 17.</h3><h3>The third digit is 18.</h3>
Answer:
8/88 is the answer
Step-by-step explanation:
The simplified form is 1/11
2 inches is equal to 5.08 centimeters
Hope this helps you. :-)
Answer:
14 or -22
Step-by-step explanation:
st=18
s=-4
-4+18=14
so t can be at 14
or -4-18=-22
t can be at -22
