Answer:
15
Step-by-step explanation:
15 x 2 = 30
Answer:
-57
Step-by-step explanation:
<h2><u>Use BOMAS</u></h2>
B- brackets
O- of
M- multiplication
A- addition
S - subtraction
-3[1+2(4+5)]
first solve what is in the brackets
(4+5) = 9
place 9 in the brackets
-3[1+2(9)]
now multiply the 2 and 9
2*9 = 18
-3[1+18)]
1+ 18 = 19
now multiply the (-3) with 19
= <u>-57</u>
? can be any number except for 3 or -2 as it is already used in (3,4), (-2,-5)
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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