The value of the length of BC is 45 units
<h3>How to determine the length BC?</h3>
The given parameters are:
BC = 15x
AD = 32x - 2
EF = 20.5x + 8
Where the parallel bases are AD and BC and the midsegment is EF
By the midsegment theorem, we have
2 * EF = AD + BC
Substitute the known values in the above equation
2 * (20.5x + 8) = 15x + 32x -2
Open the bracket
41x + 16 = 15x + 32x - 2
Evaluate the like terms
6x = 18
Divide both sides by 6
x = 3
Substitute x = 3 in BC = 15x
BC = 15 * 3
Evaluate
BC = 45
Hence, the value of the length of BC is 45 units
Read more about isosceles trapezoid at:
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Answer:
200
Step-by-step explanation:
Put 5 times 10^4 in your calculator and you get 50,000. Then put 2.5 times 10^2 in your calculator and you get 250. Lastly divide 50,000 and 250 and you get 200.
Triangle ABE is isosceles / Given
AB congruent to AE / Def isosceles
angle ABE congruent to angle AEB / Property of isosceles triangles
angle ABD congruent to angle AEC / Subst different name for same angles
BD congruent to EC / Given
triange ABD congruent to triange AEC / Side Angle Side
Answer:
1.5
Step-by-step explanation:
To find the midpoint, add the two coordinates and divide by 2
( -4+7)/2 =
3/2
1.5
The midpoint is 1.5
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