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vodka [1.7K]
1 year ago
12

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Tr

iangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Mathematics
2 answers:
Reptile [31]1 year ago
8 0

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Kruka [31]1 year ago
6 0

Answer:

A

Step-by-step explanation:

took the test

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Thomas invested $8,500 for one year. Part of the money was invested at6% and the rest at 9%. The total interest earned was $667.
oee [108]
Okay so say that x=amount invested with 6% and y=amount invested with 9%
x+y=8,500 so > x=8500-y
6%=0.06        <span>9%=0.09</span>
0.06x +0.09y=667.5 (Substitute in x=8500-y so only numbers and y)
0.06(8500-y)+0.09y=667.5 (expand brackets)
510-0.06y+0.09y=667.5 (-510)
0.03y=117.5 (/0.03)
$3916.67=Y  ->9%
X=8500-Y 
x=$4583.33 ->6%
4 0
2 years ago
Ikeoluwa collected data on whether 656565 professional golfers have practiced for at least 10{,}00010,00010, comma, 000 hours in
vazorg [7]

Answer:

<em>Table shown in the image below</em>

Step-by-step explanation:

<u>Venn Diagram </u>

It's a graphic representation of the elements who belong or not to different sets. In a two-set diagram (A and B), four zones are highlighted: Elements belonging to A alone, to B alone, to both of them, and to none of them. There are many other possible logic combinations to show relationships between the elements.

In the Venn Diagram shown in the question, we can see:

  • 14 golfers have practiced for at least 10,000 hours but haven't won a major championship
  • 8 golfers have won a major championship but haven't practiced for at least 10,000 hours
  • 37 golfers have won a major championship AND have practiced for at least 10,000 hours
  • 6 golfers haven't done any of the above.

We need to complete the two-way frequency table with the following requirements for each cell where both conditions cross

  • How many golfers have won a major championship AND have practiced for at least 10,000 hours? The answer has been already found in our analysis of the Venn Diagram: 37 golfers
  • How many golfers have NOT won a major championship AND have practiced for at least 10,000 hours? We need to look outside the red circle but inside the blue circle. The answer has also been answered by looking directly to the diagram: 14 golfers
  • How many golfers have won a major championship AND have NOT practiced for at least 10,000 hours? We must look outside of the blue circle but inside the red circle. The answer has also been answered by looking directly to the diagram: 8 golfers
  • How many golfers have NOT won a major championship AND have NOT practiced for at least 10,000 hours? We must look outside of the blue circle and outside of the red circle. The answer is also found by looking directly to the diagram: 6 golfers

4 0
2 years ago
pepe is putting up a fence in his backyard to enclose a garden in form of a triangle. the garden already has sides enclosed with
Andrei [34K]

Answer:

20

Step-by-step explanation:

Because 8 times 5 is 40, and if it is a triangle then it should be 20 because area as a triangle is base times height divided by two.

4 0
1 year ago
Read 2 more answers
You've run 250 ft of cable that has a loss rate of 3.6 dB per 100 ft. what is your total loss?
Leviafan [203]

Answer:

2.5 dB/100 ft

Explanation:

If 5 dB was lost after 200 ft of cable and 100 ft is half of 200 ft, then the rate of loss should be 2.5 dB per 100 ft.

Step-by-step explanation:

5 0
1 year ago
Round all-the-way 2,689
Stels [109]
<span>The number rounded all the way is 3,000. If you round to the hundreds you have to remove the units number which is 9, then you have to increase the tens number to 9, resulting 2,690. Next you have to remove the number 9 and increase the 6 to 7, obtaning 2,700. Finally, you remove the seven and have to incrase the number 2 to 3, to get 3,000. This is three thousdand. </span>
7 0
2 years ago
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