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____ [38]
3 years ago
10

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center

is
located at (11,0) and the Bus Station is located at (-1,-10).
The Train Station is located at point
х=

Y=

Mathematics
1 answer:
deff fn [24]3 years ago
3 0

Given :

The Tourist Information Center is  located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

(\dfrac{a+c}{2},\dfrac{b+d}{2}) .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})

Comparing both coordinate :

\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23

and

\dfrac{y-10}{2}=0\\\\y=10

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .

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In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
Roman55 [17]

The perimeter of triangle ABC is 24 units

Step-by-step explanation:

If a segment joining the mid points of two sides of a triangle, then

this segment is:

  • Parallel to the third side
  • Its length is half the length of the third side

In The triangle XYZ

∵ A is the mid point of XY

∵ B is the mid point of YZ

∴ AB = \frac{1}{2} XZ

∵ XZ = 18 units

- Substitute the value of XZ in AB

∴ AB = \frac{1}{2} × 18 = 9 units

∵ B is the mid point of YZ

∵ C is the mid point of XZ

∴ BC = \frac{1}{2} XY

∵ AY = 7 units

∵ AY = \frac{1}{2} XY

∴ XY = 2 × AY

∴ XY = 2 × 7

∴ XY = 14 units

∴ BC = \frac{1}{2} × 14 = 7 units

∵ A is the mid point of XY

∵ C is the mid point of XZ

∴ AC = \frac{1}{2} YZ

∵ BZ = 8 units

∵ BZ = \frac{1}{2} YZ

∴ YZ = 2 × BZ

∴ YZ = 2 × 8

∴ YZ = 16 units

∴ AC = \frac{1}{2} × 16 = 8 units

∵ The perimeter of a triangle = the sum of the lengths of its sides

∴ Perimeter Δ ABC = AB + BC + AC

∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units

The perimeter of triangle ABC is 24 units

Learn more:

You can learn more about triangles in brainly.com/question/5924921

#LearnwithBrainly

5 0
3 years ago
√448<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B488%7D%20" id="TexFormula1" title=" \sqrt{488} " alt=" \sqrt{488} " align
bazaltina [42]
The answer is 21.17 or 21.16601049.
8 0
3 years ago
Someone who actually knows what they doing please ‍♀️
mariarad [96]

Answer:

5/9 (F-32) = 25

Step-by-step explanation:

5/9 (F-32) = C

Multiply each side by 9/5

5/9 * 9/5 (F-32) =9/5 C

F -32 = 9/5 C

Add 32

F -32 +32 = 9/5 C +32

F = 9/5 C +32

We want 25 C to Fahrenheit

F = 9/5 *25 +32

F = 9*5 +32

F = 45+32

F = 77

5 0
3 years ago
Write an algebraic expression for the verbal expression<br> the quotient for 45 and r
Nimfa-mama [501]

Answer:

45/r

Step-by-step explanation:

You're just doing 45 divided by r.

4 0
2 years ago
Please Help! So Confused! Lines y and z are parallel.<br><br> What is the measure of angle 2?
elena-14-01-66 [18.8K]
It's would be 65 degrees
6 0
3 years ago
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