Answer:
120 degrees
Step-by-step explanation:
This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:
2x + x + 2x + x = 360
Combine like terms and solve for x:
6x = 360
x = 360/6 = 60
<BCD = 2x = 2 * 60 = 120
Thus, the answer is 120 degrees.
Hope this helps!
Answer: (-9, -3)
Step-by-step explanation:
A = (-3, -1)
A' = (-3, -1)*3 = (-9, -3)
In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
In the first diagram:
The sum of the 5k + 20 and 7k + 40 is 180
5k + 20 + 7k + 40 = 180
12k + 60 = 180
12k = 180 -60
12k = 120
k = 10
In the second diagram:
The sum of the two interior angles is equal to the exterior angle.
40 + 12k + 10 = 8k + 80
4k = 30
k = 30/4 = 15/2
Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
Learn more about the triangle here:
brainly.com/question/25813512
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Answer:
Step-by-step explanation:
pyramid has a height of 5 inches and a volume of 60 cubic inches. Select all figures that could be the base for this pyramid.
A:
a square with side length 6 inches
B:
a 3 inch by 4 inch rectangle
C:
a 4 inch by 9 inch rectangle
D:
a circle with radius 4 inches
E:
a right triangle with one side 5 inches and the hypotenuse 13 inches
F:
a hexagon with an area of 36 square inches
If you're just integrating a vector-valued function, you just integrate each component:
The first integral is trivial since 
.
The second can be done by substituting 
:
The third can be found by integrating by parts:
