QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
1 answer:
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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
a. Does her equation make sense? If so, explain why her equation must be true. If it is not correct, determine what is incorrect and rewrite the equation.
b. If you have not already done so, solve her equation, clearly showing all your steps. What are the measures of the two angles?
c. Verify that your answer is correct.
The figure is attached below
Given : (2x+1) + (x-10) = 90
(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.
(b) solve for x, (2x+1) + (x-10) = 90
2x+1 + x-10 = 90 ( combine like terms)
3x -9 = 90 (add 9 on both sides)
3x = 99
x = 33
One angle is 2x+1 = 2(33) +1 = 67 degrees
Another angle = x-10 = 33-10 = 23 degrees
(c) one angle + another angle = 90
67 + 23 = 90
So verified
