50 + 3x = 7x + 12
This is because of the exterior angle theorem.
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:
6x-45°=4x+5°(vertically opposite angles are equal)
6x-4x=5+45
2x=50
x=50/2
x=25
hope it helps you!
To write 7.32 as a fraction you have to write 7.32 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
7.32 = 7.32/1 = 73.2/10 = 732/100
And finally we have:
7.32 as a fraction equals 732/100
Keeping in mind that, there are 12 months in a year, therefore, 7 months is really just 7/12 of a year.