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Lelu [443]
3 years ago
11

The diagram shows FGH, its medians, centroid P, and the lengths of some of the subsegments. Apply the Centroid Theorem to find o

ther lengths.

Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

Step-by-step explanation:

We will use two properties to solve this problem,

1). Medians of a triangle bisect the sides of a triangle.

2). Centroid of a triangle divides the medians in the ratio of 2 : 1.

Length of FH = 2 × Length of HX

                      = 2 × 12

                FH = 24

PF : PZ = 2 : 1

\frac{PF}{PZ}=\frac{2}{1}

\frac{PF}{4}=\frac{2}{1}

PF = 8

GX = GP + PX

GP = 9  [Given]

Since, \frac{GP}{PX}=\frac{2}{1}

PX = \frac{9}{2} = 4.5

Therefore, GX = 9 + 4.5

GX = 13.5

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kirza4 [7]

The required equation of the line is y = -1/2x

<h3>Equation of a line</h3>

The standard equation of a line is expressed as y = mx + b

  • where:
  • m is the slope
  • b is the y intercept

Given the coordinate points (0,0) and (4, -2)

Slope  = -2/4 = -1/2

The intercept is 0 since the line pass through the origin

Hence the required equation of the line is y = -1/2x

Learn more on equation of a line here: brainly.com/question/13763238

3 0
2 years ago
The length of a rectangle is twice its width. The perimeter of the rectangle is 15 inches. What are the measurements of the leng
Airida [17]

Step-by-step explanation:

Let the breadth (b) of a rectangle be x

Then Length (L) = 2x

Now

Perimeter of the rectangle = 15 inches

Or, 2(L + b) = 15

2 ( 2x + x) = 15

2* 3x = 15

6x = 15

x = 15 / 6

x = 2.5 inch

Also Now

Length (L) = 2*2.5 = 5 inches

Breadth (b) = 2.5 inches

Hope it will help :)

5 0
3 years ago
I HAVE ASKED THIS TWICE NOW YOU GUYS!! SOMEONE PLEASE HELP ME I REALLY NEED HELP PLEASE THIS IS A VERY IMPORTANT TEST I WILL GIV
lubasha [3.4K]
Ok so 12 in. = 1ft
210 in = 17.5 ft
35 in = about 2.9 ft
17.5/2.9 = approximately 6 ft.
I think the answer is 6 ft
At the same time 210/35 = 6, which would make the length 6 in., because area equals base times height, so you just divide, which would make it 1/2ft.
I would go with 6 in.
8 0
4 years ago
Point slope graph y+2÷4(x+5)
ladessa [460]

Answer:

See attachment for graph

Or

The slope intercept form is y=4x+18

Step-by-step explanation:

Assuming you want to graph the straight line given in point-slope form as

y+2=4(x+5)

Then we need at least two points on this line

When we compare to the point-slope formula y-y_1=m(x-x_1) then we  obtain (-5,-2) as a point on this line so we plot it.

When x=0, y=4(0+5)-2=18 so we plot (0,18)

We then draw a straight line through as shown in the attachment.

On the other hand, if you had wanted the equation slope intercept form, then we expand to obtain:

y+2=4x+20

\implies y=4x+20-2

\implies y=4x+18

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3 years ago
What is the greatest multiple of 10 that can be expressed using only the numbers 2,2,3,5 each exactly once, with any or all of t
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