A triangular prism has a surface area of 475 square feet, a length of 15 feet, a height of 10 feet, and sides of 5 feet. Find th
1 answer:
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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°
The complete question in the attached figure
we know that
[Area of her bedroom]=[11*10]+[12*8/2]+[10*6]------> 218 ft²
the answer Part A) is
Are needed 218 ft² of carpeting for the room
[perimeter of her bedroom]=[11+10+11]+[12]+[6+10+6]+[8]-------> 74 ft
the answer Part B) is
Are needed 74 ft <span>of baseboards</span> for the room
we know that
[Area of her bedroom]=[11*10]+[12*8/2]+[10*6]------> 218 ft²
the answer Part A) is
Are needed 218 ft² of carpeting for the room
[perimeter of her bedroom]=[11+10+11]+[12]+[6+10+6]+[8]-------> 74 ft
the answer Part B) is
Are needed 74 ft <span>of baseboards</span> for the room