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3 years ago

Segments cf, eb, and ad are medians of triangle ace. cf = 3.6 m. what is the length of segment cg?

Mathematics

1 answer:

Vaselesa [24]3 years ago

6 0

Assuming g is the centroid, it is 2/3 of the length of cf from point c.
cg = (2/3)cf = (2/3)3.6 m
cg = 2.4 m

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Hich value, when placed in the box, would result in a system of equations with infinitely many solutions?

Jobisdone [24]

The value placed in the box that makes the system of equation with infinitely many solution is 12.

<h3>How to solve an infinitely many solution equation?</h3>

An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If we simplify the equation we will notice both sides are equal. This means the equation has an infinitely many solution.

Hence,

y = -2x + 4

Therefore,

6x + 3y = 12

divide the equation(ii) by 3

2x + y = 4

y = -2x + 4

Therefore, both equation are equal if the the box is filled with 12. This means for the value placed in the box that makes the system of equation with infinitely many solution is 12.

learn more on equation here: brainly.com/question/13116557

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2 years ago

Which formula shows a joint variation?

djyliett [7]

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:

$y=kxz$

Where $x,y$ and $z$ are the variables and $k$ is the constant of proportionality.

As you can see, $y$ is directly proportional to $x$ and $z$ .

2. Keeping the information above, you have:

I) $V=lwh$ ( $V$ varies jointly with $l$ , $w$ and $h$ .

II) $V=\frac{1}{3}r^{2}h\pi$ (If $\frac{\pi}{3}$ is the constant of proportionality, $V$ varies jointly with $r^{2}$ and $h$ ).

III) $V=Bh$ ( $V$ varies jointly with $B$ and $h$ .

8 0

3 years ago

Read 2 more answers

Given: ABCD is a quadrilateral, BC║AD, m∠ A = 90°

Lina20 [59]

Answer:

Rearrange the equations that result from use of the Pythagorean theorem.

Step-by-step explanation:

Transversal AB crossing parallel lines AD and BC makes supplementary interior same-side angles A and B. Since A = 90°, B must be 90°. The Pythagorean theorem then applies in the right triangles ABC and ABD.

We can use that theorem to write two expressions for AB^2:

BD^2 -AD^2 = AB^2 = AC^2 -BC^2

The middle expression, AB^2, isn't needed beyond this point. Adding (AD^2 -AC^2) to both sides of the equation gives the desired result:

BD^2 -AC^2 = AD^2 -BC^2

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3 years ago

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VikaD [51]

Answer:

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3 years ago