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3 years ago

The sum of two exterior angles of an isosceles triangle is equal to 240°. What are the measures of the interior angles?

Mathematics

2 answers:

andreev551 [17]3 years ago

6 0

Answer:

Its 60 60 60

Step-by-step explanation:

240 Divided by two makes two of the interior angles 60 therefore since triangles must have 180 degrees total the final angle must be 60 as well

Gre4nikov [31]3 years ago

5 0

The measures of the interior angles together would be 40 degrees, but separate, they would be 20 degrees.

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Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i

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Answer:

The solutions for the given system of equations are:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

Step-by-step explanation:

Given the equation system:

$\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.$

We obtain the following matrix:

$\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]$

Step 1: Multiply the fisrt row by 1/3.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]$

Step 2: Sum the first row and the second row.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]$

Step 3: Multiply the second row by 3/4.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]$

Step 4: Multiply the second row by -1/3 and sum the the first row.

$\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]$

The result of the reduced matrix is:

$\left \{ {{x=-5} \atop {y+4z=12}} \right.$

This is equal to:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

These are the solutions for the system of equations in terms of z, where z can be any number.

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3 years ago

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Answer:

y= 73 degrees

x=34 degrees

Step-by-step explanation:

180-107=73

y= 73 degrees

73+73= 146

180-146=34

x=34 degrees

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