Answer:
Kite; x = 3
Step-by-step explanation:
The quadrilateral shown is a kite.
We can first prove the 2 triangles in the kite are congruent.
Since the 3 sides of the triangle all matches with the other triangle (as the no. of strokes on the lines indicate them having the same length), and the base is a common side of both triangles, they are congruent for SSS (side, side, side).
Congruent triangles have the same interior angles.
So, we can deduce that (9x + 6)°= 11x°
(9x + 6)°= 11x°
6° = 11x° - 9x°
6° = 2x°
x° = 6/2°
x = 3
Answer:
v = -3i - 2j
Step-by-step explanation:
Vector given two points:
Given two points, a vector is the subtraction of the terminal point by the initial point.
In this question:
Initial point: (-1, 4)
Terminal point: (-4, 2)
So
v = (-4,2) - (-1, 4) = (-4 - (-1), 2 - 4) = (-3,-2)
The vector is v = (-3,-2)
In component form:
xvalue is i, yvalue j. So
v = -3i - 2j
Answer:
21 milloon
Step-by-step explanation:
ok niceeeeeeeeee
Explanation:
It is the average (mean) of the absolute values of the differences between a set of numbers and their mean.
Example: consider the set {1, 2, 4}. The mean is computed in the usual way: the sum divided by the number of contributors —
mean = (1 + 2 + 4)/3 = 7/3 = 2 1/3
Then the deviations are ...
1 -2 1/3 = -1 1/3 . . . . the absolute value of this is 1 1/3
2 -2 1/3 = -1/3 . . . . . the absolute value of this is 1/3
4 -2 1/3 = 1 2/3 . . . . the absolute value of this is 1 2/3
The mean of these absolute values is their sum divided by the number of them:
(1 1/3 +1/3 +1 2/3)/3 = (3 1/3)/3 = 1 1/9
The MAD of {1, 2, 4} is 1 1/9.
_____
Your graphing calculator or spreadsheet program may have a function that will calculate this for you.
Answer: 16.8
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Explanation:
The lower case letters represent the side lengths.
The uppercase letters represent the angles.
Side 'a' is opposite angle A
Side 'b' is opposite angle B
Side 'c' is opposite angle C
Angle A is 62 degrees because you would solve A+B+C = 180 for A. Or you can compute 180-B-C = 180-82-36 to get the same result for angle A.
Once you know the measure of angle A, you can use the law of sines
sin(A)/a = sin(B)/b
sin(62)/15 = sin(82)/b
b*sin(62) = 15*sin(82)
b = 15*sin(82)/sin(62)
b = 16.8232193521557 <<--- see note below
b = 16.8
note: use a calculator for that step. Make sure the calculator is in degree mode