Answer:
n = 9
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Given 3 angles and the remaining angle of 141° then there are
141(n - 3) angles of this size
Then
99 + 153 + 162 + 141(n - 3) = 180(n - 2) , that is
414 + 141n - 423 = 180n - 360
141n - 9 = 180n - 360 ( subtract 141n from both sides )
- 9 = 39n - 360 ( add 360 to both sides )
351 = 39n ( divide both sides by 39 )
9 = n
The polygon has 9 sides
Answer:
see attached
Step-by-step explanation:
I find it usually works well to draw the longest side first. Then draw arcs with radii equal to the other two side lengths. They will cross at an angle that makes the position of the third point easy to find.
Answer:
JT=19
Step-by-step explanation:
3x+6+3x+7=37
6x+6+7=37
6x+13=37
-13 -13
6x=24
6x/6=24/6
x=4
3x+7
3(4)+7
12+7
JT=19
Answer:
x=−3 or x=5
Step-by-step explanation:
x2−2x−15=0
Step 1: Factor left side of equation.
(x+3)(x−5)=0
Step 2: Set factors equal to 0.
x+3=0 or x−5=0
x=−3 or x=5
F(t) = -5t^2 + 20t + 60
-5(t^2 - 4t - 12)
-5(t + 2) (t - 6)
t = -2 or t = 6
6 seconds
