The average of 4, 9, 16, 25 and x is 2x means that;
(4+9+16+25+x)/5=2x
Multiply both side by 5
5(54+x)/5=2x(5)
54+x=10x
Subtract x to both side
54+x-x=10x-x
54=9x
Divided 9 to both side
54/9=9x/9
x=6
Check:
Substitute x with 6
(4+9+16+25+x)/5=2x
(4+9+16+25+6)/5=2(6)
60/5=12
12=12; so x=6 which marks B as the correct answer. Have a nice day!
Draw an imaginary line from the vertex of angle x to the center of the circle.
This divides the 4-sided polygon into two right triangles. For example, the upper right triangle has an acute angle whose measure is 135 degrees / 2, or 67.5 degrees, and the another acute angle whose measure is x/2.
x/2 and 67.5 degrees are complementary angles, so x/2 + 67.5 deg = 90 deg. Thus, x/2 = 22.5 deg, and so x = 45 deg. (answer)
Step-by-step explanation:
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Answer:
(1). 450 degree and 90 degree.
(2). - 270 degree and - 990 degree.
Step-by-step explanation:
So, we are given the the following data or parameters in this question or problem; A = -630 degree, and we are to look for the next two positive and two negative angles that are coterminal with the given quadrantal angle.
For the positive(+ve) angles we have that;
- 630 degree + 1080 degree = 450 degree; and - 630 degree + 720 degree= 90 degree.
For the negative(-ve) angles we have that;
- 630 degree + 360 degree= - 270 degree and - 630 degree - 360 degree = - 990 degree.
