MATHEMATICS MIDDLE SCHOOL

I need help with this and don't know the answer to this problem.

Answers

Answer 1

Answer:

Answer:

x = 122°

w = 90°

Step-by-step explanation:

x + 58° = 180°

[Sum of linear pair of angles measure 180°. If the pair is a set of two angles then the angles of this linear pair are called as Supplementary angles]

x = 180° - 58°

x = 122°

Similarly, w + 90° = 180°

w = 180° - 90°

w = 90°

Therefore, values of each variable are x = 122° and w = 90°.

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X^2 + 20x + 28 = 9 find the graphing/vertex form

Answers

Answer: $(x+10)^2+119=0$

Step-by-step explanation:

For a quadratic equation, the vertex form is given by : $y=a(x-h)^2+k$ , where (h, k) is the vertex.

The given quadratic equation: $x^2 + 20x + 28 = 9$

Subtract 9 from both sides

$=x^2+20x+19=0$

compare this to $x^2+bx=c$ , and add $((b)/(2))^2$ both sides

b= 20

$x^2+20+100+19=-100$ [(b/2)²=20/2=10]

$\Rightarrow\ x^2+2(x)(10)+10^2+119=0$

$\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab]$

So, the vertex form : $(x+10)^2+119=0$

What are these number from least to greatest: 2.58, 2 5/8, 2.6, 2 2/3

Answers

2.58, 2.6, 2 5/8, 2 2/3

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