The answer is 6.345 is rounded up to 6.
Answer:
A. x = 4
B. ∠C = 80°
Step-by-step explanation:
<h3>A.</h3>
The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...
140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°
31x +416° = 540° . . . . . . collect terms
31x = 124° . . . . . . . . . . subtract 416°
x = 4
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<h3>B.</h3>
The measure of angle C is found by substituting the value of x into the given expression for angle C.
(16x +16)° = (16(4) +16)° = 80°
Angle C is 80°.
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<em>Additional comment</em>
It can be useful to remember that the sum of <em>interior</em> angles of an n-gon is ...
(180°)(n -2)
This can be derived from the fact that the sum of <em>exterior</em> angles is always 360°.
These relations apply to <em>convex</em> <em>polygons</em>. YMMV when there are reflex angles or when sides cross each other.
Answer:
the recursive formula is
an=an-1 +d
an would be the n-th term witch is 8, d would be the difference witch is 5
an= (33) +5 an-1 would be the previous term (7th) I added five to the terms until I got to the 7th term
the 8th term is 38
the explicit formula is
an= a1 + (n-1)d
an= -2 + (53-1) -3
an= -2 + -156
an= -158
sorry but I haven't used this formula before but I did try my best using it
Step-by-step explanation:
Answer:
x < 30
Step-by-step explanation:
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