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Leviafan [203]
3 years ago
10

In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′. Poi

nts A′, B′, and D′ are shown, but the line of reflection and point C′ are not. The line of reflection is , and the coordinates of C′ are . NextReset

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0
Here is what I found

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This is a map of three towns. It shows the train line and the highway that connects the towns. The north direction is shown. The
vlada-n [284]

Answer:

  about 106 km

Step-by-step explanation:

The distance between the two towns can be estimated several ways. In the attachment, we chose to measure the angles on the map. Using the law of sines, we can estimate the unknown distance.

The distance can also be estimated using the Tounouse-Avaria distance as a ruler. For best results, that ruler would need to be subdivided to an appropriate level.

__

<h3>angle measures</h3>

The angles in the triangle can be measured using a protractor or some other tool. The attachment shows the results from a geometry program:

  • ∠TMA ≈ 107°
  • ∠TAM ≈ 24°
<h3>law of sines</h3>

The law of sines tells us the distances are proportional to the sines of the opposite angles:

  TM/sin(TAM) = TA/sin(TMA)

  TM = sin(24°)×(250 km)/sin(107°) ≈ 106.3 km

The distance from Tounouse to Mt. Monotti is estimated to be about 106 km.

__

<em>Alternate solution</em>

Using a compass or dividers to project the TM distance onto TA, we find it is between 0.4 and 0.5 of the TA distance. The difference between 2×TM and TA can be estimated to be about 0.4×TM. That is, ...

  TM ≈ TA/2.4 ≈ (250 km)/2.4 ≈ 104.2 km

This estimate is consistent with the one found using angle measures.

4 0
2 years ago
Evaluate 14+(-9)+(-9)
Vilka [71]
The answer to your question is -4
6 0
3 years ago
The answer to this problem
Alexandra [31]
I have more problems then this.
6 0
2 years ago
What is an equation of the line that passes through the point (4, -1) and has
Nuetrik [128]

Answer:

y + 1 = -5(x - 4)

y + 1 = -5x + 20

y = -5x + 19

8 0
3 years ago
Solve the equations. 2.5x−3.67=1.52
aleksklad [387]
Our current equation is:
2.5x -3.67 = 1.52.
To solve for x, we need to get x by itself and then simplify what we can from there.
2.5x -3.67 = 1.52
Add 3.67 to both sides to get 2.5x by itself.
2.5x = 5.19 is now our new equation.
Divide both sides by 2.5 to get x.
5.19/2.5 = 2.07
x = 2.07
I hope this helps!
5 0
3 years ago
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