Answer:
We will use the thales's theorem to solve for x
Let ? be x
then, the other segment on the same line as x will be 20 - x since the line is 20 units long
According to thales's theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"
Hence, we can write that,
9 / 3 = 20-x / x
3x = 20 - x
4x = 20
x = 5 units
Hence, the length of the line segment marked as '?' is 5 units
the equivalent expression is 3^1/216
Answer:
B and C
Step-by-step explanation:
A. y + 11 = 22 → subtract 11 from both sides:
y = 11
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B. 8 = 18 - y → subtract 18 from both sides:
-10 = -y → divide both sides by -1:
10 = y
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C. 60 = 6y → divide both sides by 6:
10 = y
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D. = 4 → multiply both sides by 5:
y = 20
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E. 10y = 20 → divide both sides by 10:
y = 2
So you know that maple stations is 3 miles west and 5 miles north of town center and Henry takes the subway from town center to maple station. The route that he travels is the hypotenuse and you can use the pythagorean theorem to find the length of that line. The pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse
You would get 3^2+5^2=c^2
9+25=c^2
34=c^2
The value of c is approximately 5.83