Answer: x = 70, y = 110, z = 85
Step-by-step explanation:
If BE = CD, then using corresponding angles (are equal), x = 70
If x = 70, then 70+y = 180 (angles on a straight line)
y = 110
And z = 85 (corresponding angles again): angle ABE = angle ACD
Answer
h = 8.12 cm
Explanation
Area of a parallelogram = b • h
We know the area is 20.3 cm^2 and that the base is 2.5cm.
Therefore 20.3 cm^2 = 2.5h
20.3/2.5 = 8.12 cm
h = 8.12 cm
The measure of x in both parts is: 120°
Step-by-step explanation:
Part A:
We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.
A hexagon has six equal sides in six equal interior angles.
Sum of interior angles of hexagon is 720°
So,
![Measure\ of\ one\ agnle=\frac{Sum\ of\ interior\ angles}{number\ of\ angles}\\=\frac{720}{6}\\=120](https://tex.z-dn.net/?f=Measure%5C%20of%5C%20one%5C%20agnle%3D%5Cfrac%7BSum%5C%20of%5C%20interior%5C%20angles%7D%7Bnumber%5C%20of%5C%20angles%7D%5C%5C%3D%5Cfrac%7B720%7D%7B6%7D%5C%5C%3D120)
Part B:
The figure is a Dodecagon with 12 sides.
The Dodecagon has 12 equal sides and angles.
The sum of internal angles of Dodecagon is 1440°
So,
![Measure\ of\ one\ angle=\frac{Sum\ of\ angles}{Number\ of\ angles}\\=\frac{1440}{12}\\=120](https://tex.z-dn.net/?f=Measure%5C%20of%5C%20one%5C%20angle%3D%5Cfrac%7BSum%5C%20of%5C%20angles%7D%7BNumber%5C%20of%5C%20angles%7D%5C%5C%3D%5Cfrac%7B1440%7D%7B12%7D%5C%5C%3D120)
The measure of x in both parts is: 120°
Keywords: Polygons, Hexagon
Learn more about polygons at:
#LearnwithBrainly
C: B:
3 0
6 9
9 18
12 27
All you had to do was plug in the value for c or b and solve. You can tell this is most likely correct because you see patterns for both variables. C is going up by threes, while b is going up by nines.
Answer:
c
Step-by-step explanation: