Is there more to the question?
Answer:
B) 50º
Step-by-step explanation:
first we need to find angle MPL. to do this we do 180 - 70 - 60 = 50º. angle KPN is the smae as angle MPL. so angle KPN is 50º.
Answer:
x = 20
Step-by-step explanation:
The two indicated angles are vertical angles and vertical angles are equal
3x+50 = 6x-10
Subtract 3x from each side
3x-3x+50 = 6x-10-3x
50 = 3x-10
Add 10 to each side
50+10 = 3x-10+10
60 = 3x
Divide each side by 3
60/3 = 3x/3
20 =x
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
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<em>Additional comment</em>
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
