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3 years ago

Help? Thanks!!!!!!!! If possible show work please!

Mathematics

1 answer:

FrozenT [24]3 years ago

5 0

Answer:

$B =102$

$Y = 32$

Step-by-step explanation:

Solving (47):

To solve for B, we have:

$B + 50 + 28 = 180$ --- sum of angles in a triangle

This gives

$B + 78 = 180$

Collect like terms

$B =- 78 + 180$

$B =102$

Solving (48):

To solve for Y, we have:

$X + Y+ Z = 180$ --- sum of angles in a triangle

This gives

$Y = 180 - X - Z$

Where

$W+ X=180$ -- angle on a straight line

Solve for X

$X=180 -W$

$X=180 -100 = 80$

So, we have:

$Y = 180 - X - Z$

$Y = 180 - 80 - 68$

$Y = 32$

You might be interested in

If f =28 when a = 7 find f when a is 10 (direct proportion)

QveST [7]

Answer:

f=40

Step-by-step explanation:

f=28, a=7

$f \infty a \\ f = ka \\28 = k(7) \\ 28 = 7k \\ \frac{28}{7} = \frac{7k}{7} \\ 4 = k \\ k = 4 \\ f = 4a \\ a = 10 \\ f = 4(10) \\ f = 40$

Hope that this is helpful.

Have a nice day.

6 0

2 years ago

Read 2 more answers

I need help with the question

Katena32 [7]

Answer:

6, 8, 4

Step-by-step explanation:

the answers are as follows

a. 6

b. 8

c. 4

3 0

2 years ago

Which equation could have been used to create this function table?

ratelena [41]

For multiple-choice questions, it is often faster to check the answers than to try to figure out what the answer should be.

Only selections (A) and (D) match the first entry in the table.
Of those, only selection (A) matches the second entry in the table.

The appropriate choice is ...
(A) y = x + 9

3 0

2 years ago

A room service waitress at a hotel receives an automatic gratuity of 15% of the food bill. If the food bill is $19.00, how much

Len [333]

Answer:

$2.85 is tipped to the waitress

7 0

2 years ago

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

2 years ago