Answer:
53
Step-by-step explanation:
Sum of interior angles of a pentagon = 540°
Therefore,
2x° +2x° + 3x° + 3x° + 10 = 540°
10x° + 10° = 540°
10x° = 540° - 10°
10x° = 530°
10x = 530
x = 530/10
x = 53
There is a mathematical formula which relates these quantities, given by:
Using this, we have:
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Answer:
y = -2x - 10
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
_____________________________
Given equation
y = -2x +4
comparing it with y = mx+ c
m = -2 , c = 4
_____________________________
when two lines are parallel, their slopes are equal.
Let the equation of new line in slope intercept form be y = mx + c
Thus slope of of new required line is -2
Thus m for new line is -2.
now, equation of required line : y = -2x+c
Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.
Substituting the value of (-4, -2) we have
-2 = -2(-4)+c
=> -2 = 8 +c
=> -2 -8 = c
=> c = -10.
Thus , equation of required line is y = -2x - 10.
Answer:
22
Step-by-step explanation:
x + 90 + 68 = 180
x + 158 = 180
x = 22
From the explicit formula:
an=3+(n-1)8
simplifying this we get:
an=3+8n-8
an=8n-5
thus
the recursive formula is:
an=an-1+
the missing part is the common difference which is 8
