Answer:
80 degrees
Step-by-step explanation:
First find the the angles N and L:
5x=3x+40
2x=40
x=20
m<N= 100 m<L=100
Now we know that the sum os all Interior angles of a parallelogram is 360
and you know that opposite sides are equal
hence,
2y= 360-2(100) y being angle M (or o)
2y= 160
y=80
Answer:
x = 11.4
Step-by-step explanation:
14.12 = 
( 3.6x - 12.8 )
Rewrite so that the equation is entirely in decimals;
14.12 = 0.5( 3.6x - 12.8 )
Distribute;
14.12 = 1.8x - 6.4
Inverse operations;
14.12 = 1.8x - 6.4
+6.4 +6.4
20.52 = 1.8x
/1.8 /1.8
11.4 = x
<span>a) We know that the correct answer will be the square root of 256 since the competition area is a square with an area of 256 meters. And since 10^2 = 100 which is less than 256, the answer has to be greater than 10. And since 20^2 = 400 which is greater than 256, the answer also has to be less than 20. Therefore the answer has to be between 10 and 20.
b) The last digit has to be either a 4 or a 6. The units digit is the only digit that will contribute to the units digit of the square. And 0^2 = 0, 1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2 = 36, 7^2 = 49, 8^2 = 64, 9^2 = 81. Of the 10 possible digits, only the values 4 and 6 have a square that has an units digit of 6.
c) The square root of 256 based up (a) and (b) above has to be either 14, or 16. So the dimensions are either 14x14 meters or 16x16 meters.</span>
I would check all of these answers because basically, when performing a translation, you are simply moving the shape around. It is not being stretched or manipulated in shape so the angle measures, length, shape, and size would not change. Also, a translation does not rotate the object, so the orientation would not change either. :)
Answer:
x = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
9x = 180 ( divide both sides by 9 )
x = 20
