Answer:
<em>The length of RS is 47 units</em>
Step-by-step explanation:
<u>Midsegment Theorem</u>
The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.
The length of the midsegment of a trapezoid is the average of the lengths of the bases.
The midsegment of the given trapezoid is VW, and the bases are RS and UT.
According to the midsegment theorem:
Substituting the variable lengths of the sides:
Operating:
Dividing the fraction:
Rearranging:
Operating:
x=16
The length of RS is:
The lenght of RS is 47 units
Given
piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.
What is the area of a piece of plywood .
To proof
Here plywood shape in the form of rectangle.
Formula
Area of rectangle = Length×Breadth
As given in the question
Length =2 feet 8 inches
Breadth = 2 feet 4 inches
First convert feet into inches
1 feet = 12 inches
2 feet 8 inches = 2×12 + 8
= 32 inches
Also
2 feet 4 inches = 2×12 +4
= 28 inches
put is in the above formula
Area of plywood = 32 ×28
= 896 inches²
Therefore option (b) is correct
Hence proved
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Subtract
1/2x = 6
Divide/multiply
x = 12
It's a bisector angle construction.
BD is the Angle Bisector.
Angle bisector - A line which cuts an angle into two equal halves.
Therefore statement C is true.
<h3>C. m∠ABD = m∠CBD</h3>
