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Blizzard [7]
3 years ago
10

Missing angles in triangles

Mathematics
2 answers:
Pepsi [2]3 years ago
5 0

Where are the triangles??????????

notsponge [240]3 years ago
4 0

Answer:

Step-by-step explanation: the way to find missing anlges are to use trigrometery

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Find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​
Vsevolod [243]

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

\displaystyle S=\frac{k}{2}(a+x_k)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

Since we want to find the sum of the first 20 terms, <em>k</em> = 20.

Our initial term <em>a</em> is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

x_n=a+d(n-1)

Where <em>a</em> is the initial term, <em>d</em> is the common difference, and <em>n</em> is the <em>n</em>th term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

x_n=4-8(n-1)

Then the last or 20th term is:

x_{20}=4-8(20-1)=4-8(19)=-148

Therefore, the sum of the first 20 terms are:

\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}

5 0
3 years ago
Read 2 more answers
The diagonals of an isosceles trapezoid are represented by x+10 and 2x+5.what is the value of x?​
DanielleElmas [232]

Answer:

x=5

Step-by-step explanation:

since it’s isosceles trapezoid, diagonals are equal.

x+10=2x+5

x=5

4 0
3 years ago
Show work too please :)
Musya8 [376]
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5 0
2 years ago
Store A: $25 for a 45 minute lesson Store B: $30 for a 1 hour lesson Store C: $45 for a 1.5 hour lesson Store D: $80 for three 1
Vikentia [17]

Answer: Store C by far, less money more time.


Step-by-step explanation:


6 0
3 years ago
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The sum of two numbers is 126 and their difference is 42. what are two numbers
Snowcat [4.5K]

Answer:

<h2>84, 42</h2>

Step-by-step explanation:

x,\ y-numbers\\\\\text{The system of equations:}\\\\\underline{+\left\{\begin{array}{ccc}x+y=126\\x-y=42\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=168\qquad\text{divide both sides by 2}\\.\qquad x=84\\\\\\\text{Put the value of}\ x\ \text{to the first equation:}\\\\84+y=126\qquad\text{subtract 84 from both sides}\\y=42

8 0
3 years ago
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