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PIT_PIT [208]
3 years ago
14

Determine the measure of the interior angle at vertex F

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

72

Step-by-step explanation:

The interior angles of a 6 sided figure add to (n-2) * 180

where n is the number of sides

(6-2) *180

4*180

720

2x+4x+4x+4x+4x+2x = 720

20x = 720

Divide by 20

20x/20 = 720/20

x =36

We want <F

<F = 2x = 2*36 = 72

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Factor this expression:<br><br> mn - 4m - 5n + 20
andrey2020 [161]

Answer:

(m-5) (n-4)

Step-by-step explanation:

mn - 4m - 5n + 20

We will factor by grouping

mn -5n  -4m +20

Factor an n out of the first 2 terms and a -4 out of the last 2 terms

n (m-5) -4(m-5)

Now factor out a m-5

(m-5) (n-4)

6 0
3 years ago
Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers
slamgirl [31]

Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}

\|\vec u\| = \sqrt{13}

Then, the unit vector is:

\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)

\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right)

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

6 0
3 years ago
Under his cell phone plan, Ryan pays a flat cost of $68.50 per month and $5 per gigabyte. He wants to keep his bill at $92.50 pe
Harlamova29_29 [7]

Answer:

answer is 5.7

Step-by-step explanation:

5 0
2 years ago
The graph of a polynomial function of degree 5 has three x-intercepts, all with multiplicity 1. Describe the nature and number o
mr Goodwill [35]

For this case suppose that we have a polynomial in its standard form of the form:

f (x) = ax ^ 5 + bx ^ 4 + cx ^ 3 + dx ^ 2 + ex + f

Where,

a, b, c, d, e, f: coefficients of the polynomial

x: independent varible

f (x): dependent variable

Since the polynomial is of degree 5, then the polynomial has 5 solutions that comply with:

f (x) = 0

We know that three of the solutions are real and are repeated only once.

Therefore, the two remaining solutions are complex numbers.

Answer:

C) The function has 3 real and 2 imaginary zeros.

6 0
3 years ago
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The following data set shows the number of books checked out from a library during the first two weeks of the month:
serious [3.7K]
C. There is one outlier, indicating an abnormally large number of books were rented out on that day.

The data shows numbers ranging from 10 to 19 which is normal. However there is a significantly larger number, 99, which is the outlier.
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3 years ago
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