Please Help! The following is an isosceles trapezoid, find RS
1 answer:
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
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Solution
1) Simplify
<span> to </span>
<span>−2= </span>
+ 
2) Simplify + <span>to <span>914</span>
</span> <span>−2= </span>
3) <span>Add 2 to both sides
</span> = <span>+2
</span>
4) Simplify
<span><span>+2</span> to </span>
=
5) <span>Multiply both sides by 7
</span><span>4y= </span> <span>×7
</span>
6) Simplify <span><span>×7</span> to </span>
=
7) Simplify<span> to </span>
=
8) <span>Divide both sides by 4
</span>y= <span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>
<span><span>
Hope this helps
</span></span>
1) Simplify
2) Simplify
</span>
3) <span>Add 2 to both sides
</span>
</span>
4) Simplify
5) <span>Multiply both sides by 7
</span><span>4y= </span>
</span>
6) Simplify
7) Simplify
8) <span>Divide both sides by 4
</span>y=
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>
<span><span>
Hope this helps
</span></span>
Answer:
AB = 5 units
BC = 5 units
AC = or about 6.4 units
Step-by-step explanation:
distance formula: square root of the sum of the difference of the y-values and the difference of the x-values
ex, dAB = √(4-0)² + (3-0)²
= √16 + 9
= √25
= 5