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CaHeK987 [17]
2 years ago
11

IN the diagram Below AB is parallel to CD what is the value of y ? picture is below

Mathematics
1 answer:
satela [25.4K]2 years ago
7 0
Similar to the other question, because AB is parallel to CD, you know the 72º angle corresponds to the angle on top of y.

Because that angle above y and y together make a straight line (and a straight line measures 180º), you have
72 + y = 180

Solving that for y, you get y = 108º
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Brett has a 30 online gift voucher . He plans to buy as many books as he can . The cost of each book is 4. There is also a singl
Nata [24]
7 books with a cost of 28$ then a 2$ charge which will put him right at 30
6 0
3 years ago
Forty is no greater than the difference of a number and 2
GuDViN [60]
This can be written as:
40  \leq  n - 2

"No greater than" does not necessarily mean less than, but it just means it cannot go over. So equal to or less than.

"The difference of a number and 2" can be represented as "n - 2"

If you were to solve this inequality, you would end up getting:
42  \leq  n or n  \geq  42

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f
GalinKa [24]

Answer:

\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in \mathbb{R}.

\\f(x)=(x^2+16)(x^2-2x-15)

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}

And we can write in \mathbb{C}

f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
Combine Like Terms :2y+7z-2z+4y+8+y+2
Viktor [21]

Answer:

7y + 5z + 10

Step-by-step explanation:

2y + 7z - 2z + 4y + 8 + y + 2

Like terms are terms that have the same variable part.

2y, 4y, y are like terms (remember that y is the same as 1y when you add)

7z, -2z are like terms

8, 2 are like terms

2y + 7z - 2z + 4y + 8 + y + 2 =

= 2y + 4y + y + 7z - 2z + 8 + 2

= 7y + 5z + 10

4 0
2 years ago
10,000 round to the nearest ten thousand
wlad13 [49]

Answer:

i think it would be 10,000

I hope it helped!

5 0
3 years ago
Read 2 more answers
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