Answer:
m∠JKP = 31.5°
Step-by-step explanation:
Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.
JN is the angle bisector of ∠KJL.
Therefore, m∠KJN = m∠LJN
(7x - 6) = (5x + 4)
7x - 5x = 6 + 4
2x = 10
x = 5
m∠KJN = (7x - 6)
= 7(5) - 6
= 35 - 6
= 29°
In ΔKJN,
m∠JKN + m∠KNJ + m∠NJK = 180°
m∠JKN + 90° + 29° = 180°
m∠JKN = 180°- 119° = 61°
Since KO is the angle bisector of ∠JKN,
m∠JKP = 
= 
= 30.5°
Answer:
x = 3
Step-by-step explanation:
Square both sides of the equation
(x - 3)(x - 5) = 0
x = 3 or 5
Now, you must always check your results because a result may not satisfy the original equation.
If x = 3, then 
and 3 - x = 3 - 3 = 0
So 3 satisfies the original.
If x = 5, then 
, but 3 - x = 3 - 5 = -2. Therefore, 5 does NOT satisfy the original equation.
That means that x = 3 is the solution to the equation.
The first two are alike because you have to add 3 to each side for everything to come out even.
45 of a number refers to 180, and 54 refers to 216. So 100 of a number is 400 and 1 of a number is 4. If 54x - 45x = 36, just plug in 4 and double check: 54(4) - 45(4) = 36 or 216 - 180 = 36, which is true.
We know that
circumference=2*pi*r
for r=7 in
circumference=2*pi*7------> 14*pi in
if 360° (full circle) has a length of------------ 14*pi in
135°-----------------------------> x
x=135*14*pi/360----------> x=5.25*pi in--------> 16.49 in
the answer is
5.25*pi in or 16.49 in
