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2 years ago

Which statement is true? Please help

Mathematics

1 answer:

Andreas93 [3]2 years ago

4 0

Answer:

D is correct.

Step-by-step explanation:

According to euclidean geometry we can draw one line per point of space that is parallel to another line. Also we know that in a triangle if we draw a line that connects the two middle points of two sides of the triangle, this line is parallel to the third side of the triangle. (This is a theorem so we already have a line parallel to ML for sure)

Which means that a line that connects the middle of LK (18/2 = 9) and the middle of MK(17/2=8.5) would be parallel to ML. However NO is indeed in the middle of LK but not in the middle of MK. If NO was parallel to ML then we would have two lines parallel to ML which would contradict the axiom of euclidean geometry that we said in the beginning.

Since we proved that NO isnt parallel to ML it is obvious that MLK and NOK are not same triangles(because they cannot have equal angles). So we discard sentences A,B and C while we proved that D is right.

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MakcuM [25]

x=20(y−3)2−1

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3 years ago

Complete the frequency table:

Gala2k [10]

The percentage of students age 15 and above travel to school by bus is 47%

<h3>How to complete the table?</h3>

The table of values is given as:

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 18 165

Age 15 and above 65 195

Column totals 152 110 98 360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 87 18 60 165

Age 15 and above 65 92 38 195

Column totals 152 110 98 360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

brainly.com/question/12576014

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7 0

1 year ago

Maria bikes 15 miles per hour and starts at 10 miles. Glen bikes 20 miles per hour and starts at 0 mile. At what time and distan

Ilya [14]

10/(20-15)=2 hours
20*2=40 miles
15*2+10=40 miles
Glen catch up with Maria after 2 hours at 40 miles

6 0

3 years ago

A bowl of buttons contains 10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL]

kondaur [170]

Answer:

a) Probability of picking Two MAGA buttons without replacement = 0.15

b) Probability of picking a MAGA and GND button in that order = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = 0.167

Step-by-step explanation:

10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.

Total number of buttons = 10 + 5 + 10 = 25

Let probability of picking a MAGA button be P(M) = 10/25 = 0.4

Probability of picking a GND button be P(G) = 5/25 = 0.2

Probability of picking a NAW button be P(N) = 10/25 = 0.4

a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15

b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167

3 0

3 years ago

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lana66690 [7]

Answer:

W=2/(P-2L)

Step-by-step explanation:

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3 years ago