Answer:
the answer is A he can complete both projects.
Step-by-step explanation:
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:
brainly.com/question/13729904
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Answer:
13/12
Step-by-step explanation:
Well, you can't add it yet because the denominators don't match. We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change as well. So, multiply 3 by 8, and get 24. Since 4 is evenly divided by 8, we can multiply just one term to get a common denominator. Multiply 3 by 2, and get 6, then we multiply 4 by 2 and get 8. Since our denominators match, we can add the numerators. So now your answer should be 9/8. Well guess what... IT IS THE ANSWER! You can't reduce it anymore so 9/8 is your answer! Hope this helped!
Answer:
X = 0 , y=2
Step-by-step explanation:
Check attachment
