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USPshnik [31]
3 years ago
13

Point F is on line segment \overline{EG}

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

EG = 13

Step-by-step explanation:

EG = EF + FG

EG = 4+ 9 = 13

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3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q
garri49 [273]

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

Firstly, we will find the point Q for x-axis, we get

Q(x)=(mx₂+nx₁)/(m+n)

Q(x)=(1×(-16)+1×20)/(1+1)

Q(x)=(-16+20)/2

Q(x)=4/2

Q(x)=2

Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

Q(y)=(1×50+1×6)/(1+1)

Q(y)=(50+6)/2

Q(y)=56/2

Q(y)=28

The point Q that partitions the line segment is Q(x,y)=(2,28)

Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

Learn more about the line segment from here brainly.com/question/9034900

#SPJ9

8 0
2 years ago
Find the least common denominator of<br> 7<br> and<br> X+4 x-4
Effectus [21]
(X+4)(X-4) is the LCD because you just have to look at the denominators and see what factors or values are not already part of your LCD.
5 0
3 years ago
Is the value of 4 in 46,395 36 times the value of 4 in 14,906
expeople1 [14]
Yesthe value of 4 in 46,395 36 times the value of 4 in 14,906
4 0
3 years ago
Calculate the area of the square shown on the xy-plane in the diagram.<br> Your answer
nikdorinn [45]

Answer: 50

Find the area of the triangles then multiply by 2.

1/2 x 5 x 10 = 25

25 x 2 = 50

6 0
3 years ago
Each of 16 store cashiers worked an average of 21 hours per week and are paid $8.25 per hour. After the store manager hires 2 ad
Pachacha [2.7K]

Answer:

<u>$211.50</u>

Step-by-step explanation:

Initially:

21 hours per week at 8.25 per hours means:

21 * 8.25 = 173.25 dollars per person

16 person = 16 * 173.25 = $2772 (total)

2nd phase:

2 more cashier = 16 + 2 = 18 cashiers

Per hour 0.25 more, so 8.25 + 0.25 = $8.50 per hour

1.5 hrs less than 21, so 21 - 1.5 = 19.5 hours

Hence,

18 * 19.5 * 8.50 = $2983.50 (new total)

Change in money paid = 2983.50 - 2772 = $211.50

4 0
3 years ago
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