To find x, we first need to find the length of LM¯¯¯¯¯¯¯¯¯ using the Pythagorean Theorem.
Since LO¯¯¯¯¯¯¯¯ = 10 and LN¯¯¯¯¯¯¯¯ = 18, we can find the length of NO¯¯¯¯¯¯¯¯ using the Pythagorean Theorem:
NO¯¯¯¯¯¯¯¯ = √(10^2 + 18^2) = √(100 + 324) = √424 ≈ 20.6
Since LO¯¯¯¯¯¯¯¯ = 10 and NO¯¯¯¯¯¯¯¯ = 20.6, we can find the length of LM using their difference:
LM¯¯¯¯¯¯¯¯¯ = NO¯¯¯¯¯¯¯¯ - LO¯¯¯¯¯¯¯¯ = 20.6 - 10 = 10.6
Now that we have the length of LM, we can split it into two equal parts using x. So, each part will have a length of 10.6 / 2 = 5.3. Therefore, x ≈ 5.3.
Therefore, the closest rounded value of x to the nearest tenth is x = 5.5.
So, the answer is x = 5.5.
LO−→ bisects <NLM, LM¯¯¯¯¯¯¯¯¯ =26, NO¯¯¯¯¯¯¯¯ = 10, LN ¯¯¯¯¯¯¯¯¯ = 18 . What is the value of x? round to the nearest tenth. (1 point) Responses
x = 5.5
x = 11.6
x = 14.4
x = 4
3 answers
A grid shows the positions of a subway stop and y our house. The subway stop is located at (-7, 5) and your house is located at (-10,10). What is the distance, to the nearest unit, between your house and the subway stop?(1 point) Responses
6 units
8 units
13 units
18 units
6 units
8 units
13 units
18 units
To find the distance between two points on a coordinate grid, we can use the distance formula, which is √((x2 - x1)^2 + (y2 - y1)^2).
For the given points, the coordinates are:
Subway stop: (-7, 5)
Your house: (-10, 10)
Substitute the coordinates into the distance formula:
Distance = √((-10 + 7)^2 + (10 - 5)^2)
Distance = √(3^2 + 5^2)
Distance = √(9 + 25)
Distance = √34 ≈ 5.8
Rounded to the nearest unit, the distance between your house and the subway stop is 6 units.
So, the answer is 6 units.
For the given points, the coordinates are:
Subway stop: (-7, 5)
Your house: (-10, 10)
Substitute the coordinates into the distance formula:
Distance = √((-10 + 7)^2 + (10 - 5)^2)
Distance = √(3^2 + 5^2)
Distance = √(9 + 25)
Distance = √34 ≈ 5.8
Rounded to the nearest unit, the distance between your house and the subway stop is 6 units.
So, the answer is 6 units.