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Korvikt [17]
3 years ago
15

The slope of the line is_____. (Type an integer or a simplified fraction.)

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer:

3

Step-by-step explanation:

(y2-y1)/(x2-x1) = slope

(15-0)/(5-0) = 15/5 = 3

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The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g
Over [174]
\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}

\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
7 0
3 years ago
Read 2 more answers
A raft travels downriver at a rate of 6 miles per hour. The total distance d in mile that the raft travels is equal to the rate
matrenka [14]

Answer:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Equation: d = 6h

Step-by-step explanation:

In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).

Therefore:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Rate: 6 miles/hr

Equation: d = 6h

5 0
3 years ago
Can someone help me in this I'm not to sure
just olya [345]
I believe it's reflexive property because reflexive property is when a=a or 6=6 or 5=5 and abc=abc
8 0
3 years ago
A roofing company is going to install a new roof on a house. The roof is 40 feet off of the ground, while the pallet of shingles
yKpoI14uk [10]
|
|     <height=40 feet(a)
|
|______<base=60 feet(b)
c^2=a^2+b^2
c^2=40^2+60^2
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c=(5200)^(1/2)
c=72.11102551 feet

5 0
3 years ago
The number line between 0 and 1 is partitioned into 6 equal pieces. What fraction of the whole is each piece?
lapo4ka [179]
0 to 1...partitioned into 6 equal pieces.....1/6 is each piece
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