Hi there! The answer is 15/8.
The general formula for the tangent is

When we fill in the data from the picture, we get the following:
The value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The two linear equations:
2x+3y+2=0
2x+y=-1
Solving by elimination method.
2x + 3y = -2
2x + y = -1
Subtract the equation first to second:
2y = -1
y = -1/2
Plug the above value in the equation second:
2x - 1/2 = -1
2x = -1 + 1/2
2x = -1/2
x = -1/4
Thus, the value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
30° , 170°
Step-by-step explanation:
Let the remaining two angles be 3x & 17x. As it is a quadrilateral , the sum of all the angles of quadrilateral is 360°. So,




Putting the value of x , remaining angles are
(3×10 = 30°) & (17×10 = 170°)
Answer:
Diverges
There is no sum.
Step-by-step explanation:
A geometric series has a general formula of:

Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges, but if |r| > 1, than the series diverges.
In this problem, the initial term is a = 36, the ratio can be found by:

Since the ratio is r =1.1 and 1.1 > 1.0, the series diverges.
In a diverging series, it is not possible to determine the sum of infinite terms, since it would be infinite.
we know that
LM=MN
LK=KN
∠MNK=∠MLK
we have
∠MNK=
∠LKN=
so
∠MLK=
The sum of the internal angles in the kite is equal to 
∠MNK+∠LKN+∠MLK+∠LMN=
substitute values and solve for ∠LMN
∠LMN=
∠LMN=
therefore
<u>the answer is</u>
∠LMN=