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Mars2501 [29]
2 years ago
8

Each figure shows a triangle with one or more medians.

Mathematics
1 answer:
Mars2501 [29]2 years ago
6 0

Applying the centroid theorem, the value of x in the given triangle in the figure is: B. 4

<h3>What is the Centroid Theorem?</h3>

The point where the three median of a triangle meet is the centroid. According to the centroid theorem, the centroid is 2/3 of the distance from each midpoint of the opposite sides to each vertex of the triangle.

Based on the centroid theorem, we have:

FY = 2/3(FS)

Substitute

x = 2/3(x + 2x - 6)

x = 2/3(3x - 6)

3x = 2(3x - 6)

3x = 6x - 12

3x - 6x = -12

-3x = -12

x = -12/-3

x = 4 (option B)

Learn more about the centroid theorem on:

brainly.com/question/20627009

#SPJ1

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The prices for different types and amounts of building bricks are given. Select the options that have the same cost per brick.
pickupchik [31]

Answer:

35 bricks for $25.90

35 bricks for $25.90

230 bricks for $170.2

Step-by-step explanation:

Cost per brick = number of bricks / price of bricks

1500/$1110 = $1.35

1300 / $845 = $1.54

230 / $170.20 = $1.35

100 / $75 = $1.33

35 / $25.90 = $1.35

Based on these calculations, the bricks that have the same cost per brick are :

35 bricks for $25.90

35 bricks for $25.90

230 bricks for $170.20

7 0
2 years ago
The graph of a line and an exponential can intersect twice, once or not at all. Describe the possible number of intersections fo
Katyanochek1 [597]

Answer:

  c) parabola and circle: 0, 1, 2, 3, 4 times

  d) parabola and hyperbola: 1, 2, 3 times

Step-by-step explanation:

c. A parabola can miss a circle, be tangent to it in 1 or 2 places, intersect it 2 places and be tangent at a 3rd, or intersect in 4 places.

__

d. A parabola must intersect a hyperbola in at least one place, but cannot intersect in more than 3 places. If the parabola is tangent to the hyperbola, the number of intersections will be 2.

If the parabola or the hyperbola are "off-axis", then the number of intersections may be 0 or 4 as well. Those cases seem to be excluded in this problem statement.

7 0
3 years ago
Fill in the box with the appropriate measure.<br> quick please I have only a few min left
Art [367]

Step-by-step explanation:

first box on the left

r=4

d=8

circumference= 2π*4= 8π

area = π*4*4= 16π

Second box on the left

d=6

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circumference= 2π*3= 6π

area =π*3*3= 9π

third box on the left

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A=36πarea= π*r*r

A=36πarea= π*r*rr= 6

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C=18π

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C=18πC= 2π*rr= 9d=18

C=18πC= 2π*rr= 9d=18area= π*9*9= 81π

8 0
2 years ago
A chalk board’s dimensions have an
Wewaii [24]

Step-by-step explanation:

5:3=35

5=35×3

5=105

5÷105=0.05

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You borrow ​$600 from a friend the first week and pay the friend back ​$20 each week there after. Write the first six terms in t
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