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:
48 different houses can be designed from these plans.
Step-by-step explanation:
There are four options:
O1 - O2 - O3 - O4
O1 is the number of different living rooms. So O1 = 3.
O2 is the number of different bedroom configurations. So O2 = 4.
O3 is the number of different garage styles. So O3 = 2.
O4 is the number of different outside configurations. So O4 = 2.
In all,
48 different houses can be designed from these plans.