Answer:
The answer to your question is: y = 80°
Step-by-step explanation:
The sum of the internal angles in a polygon is = 180°(n - 2)
= 180° (6 - 2)
= 180(4)
= 720°
y° + y° + 2(2y -20) + 2(2y -20) = 720
2y° + 4(2y -20) = 720
2y° + 8y -80 = 720
10y = 720 + 80
10 y = 800
y = 800 / 10
y = 80°
2y - 20 = 2(80) -20 = 160 -20 = 140
80° + 80° * 140 + 140 + 140 + 140 = 720°
For 32 is SAS because the angle all the way to the left is congruent and R is the mid point so therefore those two line secments are congruent
proving statements!
it's the very definition of it
Set them up to equal each other
-7x + 2 = 9x - 14
16 = 2x
x= 8
plug in the x value into any of the two y equations
y= 9 (8) - 14
y=58
points (8, 58)
Answer:
m < ANM = 36 degrees.
AM = 9.40 cm to the nearest hundredth.
Perimeter = 94.05 cm to the nearest hundredth.
Step-by-step explanation:
As we have a regular pentagon:
m < ANB = 360 / 5
= 72 degrees
So m < ANM = 1/2 * 72
= 36 degrees.
In the triangle ANM, AN = 16 so
sin 36 = Am / 16
AM = 16 sin36
= 9.4045 cm.
AB = 2 * AM = 18.809 cm
So as all sides are equal:
Perimeter = 5 * 18.809
= 94.05 cm.
