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goblinko [34]
3 years ago
10

In triangle RST, VT =60 in. What is the length of TX?

Mathematics
2 answers:
Bumek [7]3 years ago
7 0

Answer:

TX=40in

Step-by-step explanation:

From the graph, we observe that point X is a barycenter, that is, it's formed by the intersection of the three medians of a triangle.

This intersection points gives a theorem that states

<em>"The medians of a triangle intercept at a points that is two thirds the distance from each vertex to the midpoint of the opposite side".</em>

So, if we apply here such theorem, we have

TX=\frac{2}{3}VT\\TX=\frac{2}{3}60in\\ TX=40in

Therefore, TX=40in

AysviL [449]3 years ago
3 0

Answer:

40 in. I took the test


Step-by-step explanation:


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3 years ago
ten years ago, the ratio of two brothers was 1:4. fourteen years from now, the ratio will be 4:7. What is the ratio of their pre
andrey2020 [161]

The ratio of their age is 3:7.

Step-by-step explanation:

Given,

10 years ago, the ratio of two brothers was 1:4

After 14 years the ratio will be 4:7

To find the ratio of their present age.

Let,

10 years age their age was x and 4x

So, now their age is (x+10) and (4x+10)

14 years from now their age will be (x+10+14) and (4x+10+14)

That is x+24 and 4x+24

According to the problem,

x+24 : 4x+24 = 4:7

or, \frac{x+24}{4x+24} = \frac{4}{7}

or, 7(x+24) = 4(4x+24)

or, 7x+168 = 16x+ 96

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Their present age is (8+10) and (4×8+10) = 18 and 42

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The ratio of their age is 18:42 = 3:7

3 0
3 years ago
A cash register contains $5 bills and $50 bills with a total value of $1060. If there are 32 bills total, then how many of each
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Answer:

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Step-by-step explanation:

Let x = number of five dollar bills

Let y = number of fifty dollar bills

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We have 2 equations and 2 unknowns

x+y = 32

5x+50y = 1060

Multiply the first equation by -5 so we can eliminate x

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Add this to the second equation

5x+50y = 1060

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------------------------

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x+20 = 32

Subtract 20 from each side

x+20-20 = 32-20

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