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3 years ago

Write the definition of midpoint, provide a supporting figure

Mathematics

1 answer:

givi [52]3 years ago

5 0

Step-by-step explanation: Using the diagram shown which I have provided in the image attached, the definition of a midpoint states that M is the midpoint of segment LN, then segment LN ≅ to MN.

The definition of a midpoint can also be stated the other way around. using the diagram shown, if segment LN ≅ to segment MN, then M is the midpoint of segment LN.

We can use hash marks in the figure to show that are 2 segments are congruent.

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Rewrite the equation in standard form: y = 3/4x - 10

morpeh [17]

<h3>Answer: 3x - 4y = 40</h3>

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Work Shown:

y = (3/4)x - 10

4y = 3x - 40 .... multiply everything by 4 to clear out the fraction

4y+40 = 3x

40 = 3x-4y

3x-4y = 40

This is in the form Ax+By = C

A = 3, B = -4, C = 40

This is not the only solution possible since we can multiply both sides by some number to scale the equation.

3 0

3 years ago

Read 2 more answers

What is the IQR of the box plot?

Marrrta [24]

Answer:

so the answer is 50%

Step-by-step explanation:The interquartile range is the difference between the upper quartile and the lower quartile. In example 1, the IQR = Q3 – Q1 = 87 - 52 = 35. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values as it limits the range to the middle 50% of the values.

8 0

2 years ago

Read 2 more answers

Find the probability that a randomly selected point within the circle falls in the red shaded area (square). Round to the neares

Fantom [35]

Answer:

probability of selecting the square is 63.7% approximately

Step-by-step explanation:

First of all, the probability of the point of choice is within the red square can be obtained with this formula

probability = expected outcome / total number of possible outcomes

In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.

We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.

Area of the square

Area of the square = $l^2$

where length = $4\sqrt{2}$

Area = $(4\sqrt{2}) ^2 = 32cm^2$

Area of the circle

Area of the circle = $\pi r^2$

area of circle = $\pi \times 4^2 =50.26cm^2$

Probablity of selecting the square =

32/50.26 = 0.6366

To express this as a percentage, we multiply our answer by 100.

This will give us 0.6366 X 100 = 63.7% approximately

6 0

2 years ago

Vaimiti walks at a constant pace of 1.1 m/s and takes 25 minutes to get to school.

Temka [501]

Solution:

Note that:

Speed = Distance/Time
Vaimiti speed = 1.1 m/s
Jabril speed = 1.3 m/s

Converting the time (minutes to seconds) for Vaimiti to reach school:

Vaimiti's time to reach school: 25 minutes = 25 x 60 seconds
=> Vaimiti's time to reach school: 1500 seconds

Converting the time (minutes to seconds) for Jabril to reach school:

Jabril's time to reach school: 30 minutes = 30 x 60 seconds
=> Jabril's time to reach school: 1800 seconds

Finding the distance of Vaimiti:

Speed = Distance/Time

Important: The distance will be in meters since the speed units is meters/seconds.

=> 1.1 meters/second = Distance/1500
=> 1.1 x 1500 = Distance
=> 1650 meters = Distance (In meters)

Finding the distance of Jabril:

Speed = Distance/Time

Important: The distance will be in meters since the speed units is meters/seconds.

1.3 meters/second = Distance (In meters)/1800 seconds
=> 1.3 x 1800 = Distance (In meters)
=> 2340 meters = Distance (In meters)

This can lead to two possible solutions:

Possible solution #1:

Finding the difference between the two distances:

2340 meters - 1650 meters = Difference (In meters)
=> 690 meters

Possible solution #2:

The difference between the distances they walked is that Jabril walked faster than Vaimiti, but Vaimiti reached school earlier than Jabril because the walking distance for Vaimiti is less than the walking distance for Jabril.

Hoped this helped!

6 0

2 years ago

Read 2 more answers

Find two consecutive odd integers such that the sum of their squares is 34

AfilCa [17]

Answer:

3 and 5

Step-by-step explanation:

use the guess and check method form the numbers 1, 3, 5 since only the square of these 3 numbers are under 34.

4 0

3 years ago