All you have to do for each question is do (population times growth, the answer of that times 25 plus the original population and that’s 2025 population.
1) the sum of all three angles in a triangle is always 180, so number 5 is w=80
2)I assume they mean x. since the x angle and the 70 angle are a linear pair they must add to 180, so x has to be 110
3) the top 60 angle makes a vertical angles with the angle right below it. since vertical angles are congruent, the angle below has to be 60 also. again all 3 must add to 180 so o is also 60
4) these are all linear pairs. every angle shown has to be 90
These array of numbers shown above are called matrices. These are rectangular arrays of number that are arranged in columns and rows. It is mostly useful in solving a system of linear equations. For example, you have these equations
x+3y=5
2x+y=1
x+y=10
In matrix form that would be
![\left[\begin{array}{ccc}1&3&5\\2&1&1\\1&1&10\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%265%5C%5C2%261%261%5C%5C1%261%2610%5Cend%7Barray%7D%5Cright%5D%20)
where the first column are the coefficients of x, the second column the coefficients of y and the third column is the constants, When you multiple matrices, just multiply the same number on the same column number and the same row number. For this problem, the solution is
A. 4x + 9 = 34
<u> - 9 - 9</u>
<u>4x</u> = <u>25</u>
4 4
x = 6.25
B. (x - 4)(x + 2) = 0
x - 4 = 0 U x + 2 = 0
<u> + 4 + 4</u> <u> - 2 - 2</u>
x = 4 x = -2
C. 2x² - 6x + 4 = 0
2(x²) - 2(3x) + 2(2) = 0
<u>2(x² - 3x + 2)</u> = <u>0</u>
2 2
x² - 3x + 2 = 0
x = <u>-(-3) +/- √((-3)² - 4(1)(2))</u>
2(1)
x = <u>3 +/- √(9 - 8)</u>
2
x = <u>3 +/- √(1)
</u> 2<u>
</u> x =<u> 3 +/- 1
</u> 2
x = <u>3 + 1</u> U x = <u>3 - 1</u>
2 2
x = <u>4</u> x = <u>2</u>
2 2
x = 2 x = 1
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