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Degger [83]
3 years ago
11

Which are the correct classifications for the polygon?

Mathematics
1 answer:
katrin [286]3 years ago
6 0
The correct classification for the polygon would be a concave hexagon.
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Please help me with this problem
denis-greek [22]

Answer:

alternate interior angles

Step-by-step explanation:

5 0
3 years ago
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t
nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

m_ {1} * m_ {2} = - 1

The given line is:

5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3

So we have:

m_ {1} = \frac {5} {2}

We find m_ {2}:m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}

So, a line perpendicular to the one given is of the form:

y = - \frac {2} {5} x + b

We substitute the given point to find "b":

-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2

Finally we have:

y = - \frac {2} {5} x-2

In point-slope form we have:

y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)

ANswer:

y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)

3 0
3 years ago
Read 2 more answers
 The denominator of a fraction in simplest form is greater than the numerator by 3. If 7 is added to the numerator, and 5 added
jok3333 [9.3K]
So.. if we take the numerator to be say "a", then the denominator will be "a+3"

\bf \cfrac{a}{a+3}\textit{ if we add }\frac{1}{2}\textit{ we get then }\cfrac{a+7}{a+3+5}
\\\\\\
thus\implies \cfrac{a}{a+3}+\cfrac{1}{2}=\cfrac{a+7}{a+8}\\\\
-----------------------------\\\\
\cfrac{a+3+2a}{2(a+3)}=\cfrac{a+7}{a+8}\implies \cfrac{3a+3}{2a+6}=\cfrac{a+7}{a+8}
\\\\\\
3a^2+24a+3a+24=2a^2+14a+6a+42
\\\\\\
a^2+7a-18=0\implies (a+9)(a-2)=0
\\\\\\
a=
\begin{cases}
2\implies &\frac{2}{5}\\\\
-9\implies &\frac{3}{2}
\end{cases}

either of those two fractions will do
4 0
3 years ago
Suppose you have a $ 4-off coupon at a fabric store. You buy fabric that costs 7.50 per yard.Write an equation that models the t
netineya [11]
Y= (7.50x-4) ..........
7 0
3 years ago
A bookstore had 45 copies of a magazine. Yesterday, it sold 13 of them. Today, it sold 23 of what remained. How many copies does
Elan Coil [88]

Answer:

9

Step-by-step explanation:

Total initially in bookstore = 45

Sold 13copies, remaining copies = 45-13= 32

Sold 23 copies again, remaining copies = 32-23 = 9

Copies left = 9

6 0
2 years ago
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