Answer:
x = 10.
y = 11
Step-by-step explanation:
2x+3y=53
3x-y=19
x = 10; y = 11
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
=
+ 
=
+ 
= 196 + 169 = 365
= 365
diagonal =
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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Answer:
the same as the original equation
Step-by-step explanation:
Since they don't intersect the slope is the same
Answer:
x = 3
Step-by-step explanation:
Set up as proportion and cross multiply to solve:
3/4 = 2.25/x
x = 3