Answer: 2 units up.
Step-by-step explanation:
If you take a look at the graph, it shows that it is 2 units up from where it initially started, therefore it is moved 2 units up. It says the SOLID graph is the translation, therefore it would be moving 2 units up.
Answer:
Step-by-step explanation:
If KM bisects angle NKL, the angle 3 is congruent to angle 4.
We are given that angle 1 is congruent to angle 2, so that means that angle JKP is congruent to angle PKN. By the definition of an angle bisector, we know then that angle NKM is congruent to angle MKL. By the definition of a straight angle formed by opposite rays, all those angles named above add up to equal 180 degrees. So if angle JKN = 8x + 2 and angle MKL = 3x + 5 and angles NKM and MKL are congruent, then angle NKL = 2(3x + 5) which is 6x + 10. Again, if all those angles above add up to equal 180, then
8x + 2 + 6x + 10 = 180 and
14x + 12 = 180 and
14x = 168 so
x = 12.
Angle MKN = 3x + 5 so if x = 12, then
Angle MKN = 3(12) + 5 and
Angle MKN = 41 degrees
Answer: This type of sampling is Simple Random Sampling
Answer:
9 feet
Step-by-step explanation:
Given:
The border of the garden is a right angled triangle.
Two lengths are given as 12 ft and 15 ft.
Let the length of the shortest timber be 'x' feet.
Now, in a right angled triangle, the longest length is called the hypotenuse.
As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

The negative value is neglected as length can never be negative.
Therefore, the length of the shortest timber is 9 feet.