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I am Lyosha [343]
2 years ago
7

If an angle is bisected to form two new 20 degree angles, what was the measure of the original angle?

Mathematics
1 answer:
garik1379 [7]2 years ago
6 0

Answer:

40 degrees

Step-by-step explanation:

If the angle is split into 2 angles, each measuring 20 degrees, then the original angle measures 20(2)=40 degress.

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Ray Industries bought a touch screen monitor for $1200. It is expected to depreciate at a rate of 25% per year. What will the va
torisob [31]
A=1,200×(1−0.25)^(3)
A=506.25
6 0
3 years ago
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Greatest common factor of 48,120
AlekseyPX
Hello. 

Let's figure this out.

I'll list all the factors to help us answer your question. 

48: 1
2
3
4
6
8
12
16
24
48

120: 1
2
3
4
5
6
8
10
12
15
20
24
30
40
60
120 

We can see that the GREATEST common factor (GCF) between

49 and 120 is: 24

You're welcome.
5 0
3 years ago
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Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 4, and zeros 3-i and 4i.
Alisiya [41]

now, this polynomial has roots of 3-i and 4i, namely 3 - i and 0 + 4i.

let's bear in mind that a complex root never comes all by her lonesome, her sibling is always with her, the conjugate, so if 3 - i is there, 3 + i is also coming along, likewise if 0 + 4i is there, her sibling 0 - 4i is also there.

\bf \begin{cases} x=3-i\implies &x-3+i=0\\ x=3+i\implies &x-3-i=0\\ x=4i\implies &x-4i=0\\ x=-4i\implies &x+4i=0 \end{cases}\\\\[-0.35em] ~\dotfill\\\\ (x-3+i)(x-3-i)(x-4i)(x+4i)=\stackrel{y}{0} \\[2em] \underset{\textit{difference of squares}}{[(x-3)+i][(x-3)-i]}\underset{\textit{difference of squares}}{[x-4i][x+4i]}=0

\bf [(x-3)^2-i^2][x^2-(4i)^2]=y\implies [(x-3)^2-(-1)][x^2-(4^2i^2)]=0 \\[2em] [(x-3)^2-(-1)][x^2-(16(-1))]=0\implies [(x-3)^2+1][x^2+16]=0 \\[2em] [(x^2-6x+9)+1][x^2+16]=y\implies (x^2-6x+10)(x^2+16)=0 \\\\\\ x^4-6x^3+10x^2+16x^2-96x+160=0 \\\\\\ x^4-6x^3+26x^2-96x+160=0 \\\\\\ \stackrel{\textit{multiplying both sides by 4}}{4(x^4-6x^3+26x^2-96x+160)=4(0)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 4x^4-24x^3+104x^2-384x+640=y~\hfill

3 0
3 years ago
∛27x1000????????????????????????????????????
snow_tiger [21]

Answer:

3000

Step-by-step explanation:

.......... Follow the step above

6 0
3 years ago
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Please help me somebody!!! I really struggle with this in math class!
Tresset [83]

Answer:

y - 9 = -\frac{4}{3}(x - 3)  

Step-by-step explanation:

Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.

In order to solve for the slope (<em>m </em>), use the following formula:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) =  (3, 9)

     (x₂, y₂) = (9, 1)

Substitute these values into the given formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 9)/(9 - 3)

m = \frac{-8}{6} = \frac{-4}{3}

Therefore, the slope of the line, m = -4/3.

Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

y - 9 = -\frac{4}{3}(x - 3)  ⇒ This is the <u>point-slope form</u>.

4 0
2 years ago
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