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Igoryamba
1 year ago
7

How do you know what angle degree goes on each corner?

Mathematics
1 answer:
Dahasolnce [82]1 year ago
8 0

Let'sSo, we gave 2 parallel lines and 2 transversals, we have to match the angles.

Let's start with angle b,

\begin{gathered} b+65=180\text{ (angles in a straight line)} \\ b=180-65 \\ b=115^o \end{gathered}

Let's move on to angle e,

\begin{gathered} e=b\text{ (Vertically opposite angles)} \\ \text{but b = 115}^o \\ e=115^o^{} \end{gathered}

Let's move on to angle d,

d=110^o\text{ (V}ertically\text{ opposite angles)}

Moving to angle c, we have;

c=45^o\text{ (Vertically opposite angles)}

And, angle a;

\begin{gathered} a=b\text{ (Alternate angles)} \\ a=115^o \end{gathered}

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8 0
3 years ago
what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube
Dmitrij [34]
Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

\frac{99}{2} (2x+98)=p^3 \\  \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}

By substitution, we have that p=33 and x=314.

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
3 0
3 years ago
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ludmilkaskok [199]

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Step-by-step explanation:

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4 0
3 years ago
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exis [7]
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4 0
3 years ago
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