Answer:


Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:

This gives:

Make m ths subject


So, we have:


Considering the given angle again, we have:

This gives:

Make n the subject


So, we have:


Answer:
x = 106°
Step-by-step explanation:
You must understand the picture to answer the question correctly.
The angle to the right has measure 68°.
The angle to the left has measure x, an unknown number.
Notice that 174° is written in gray, not black, and notice that the curve is also in gray. That means the entire angle made up of 68° and x measures 174°.
x + 68° = 174°
Subtract 68° from both sides.
x = 106°
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC =
= 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
The answer for this problem is 2 since it is not specified whether it is adjacent to the right or adjacent to the left.
If it is adjacent to the right, the answer is:
p (k) = 2 * p(1) + 2 * k
If the is adjacent to the left, the answer is:
P (k) = 2 *p(1) +2 * (k-2)

Step-by-step explanation:

Take
as common. Then,
