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raketka [301]
3 years ago
7

What are endpoints of a line segment that divides the triangle defined by the vertices (2, 2), (8, 0), and (8, 4) into two congr

uent triangles?
A. (5, 1) and (8, 4)
B. (5, 3) and (5, 1)
C. (8, 2) and (2, 2)
D. (8, 0) and (5, 3)

Mathematics
2 answers:
Art [367]3 years ago
3 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

triangle defined by the vertices (2, 2), (8, 0), and (8, 4)

We need to divide the triangle into two congruent triangles.

As we know that "Median " divides into two congruent triangles.

So, we will apply the formula of "Mid point of two coordinates":

So, Suppose (2,2) and (8,0)

(\frac{2+8}{2},\frac{2+0}{2})\\\\(\frac{10}{2},\frac{2}{2})\\\\=(5,1)

Suppose (2,2) and (8,4)

=(\frac{8+2}{2},\frac{2+4}{2})\\\\=\frac{10}{2},\frac{6}{2})\\\\=(5.3)

Hence, Option 'B' is correct.


Maru [420]3 years ago
3 0

Answer:

<h2>C. (8, 2) and (2, 2)</h2>

Step-by-step explanation:

In the image attached you can observe the given triange, which is an isosceles triangle because vertex A is right at the middle of side BC.

Also, notice that segment AH is the one that divide the triangle in two equals parts.

According to the graph and the given coordinates the segment origins at (2.2) and ends at (8.2).

Therefore, the right answer is C.

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What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?
Andru [333]

The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

RQ = 3x+2 ,QN = 2x and SM=3x

In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.

The centroid of the triangle divides each median in the ratio 2:1

RQ/QN = 2/1

(3x+2)/2x = 2/1

After solving:

3x + 2 = 4x

x = 2

Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

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2 years ago
What is the domain of the function represented by the graph?
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Step-by-step explanation:

For a parabola, the domain is ALWAYS “all real numbers”.

Hope this helps :)

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Answer:

○B. \frac{\sqrt{6}}{2}

Step-by-step explanation:

Trigonometric Identities

\frac{y}{r} = sin\:θ

\frac{x}{r} = cos\:θ

\frac{y}{x} = tan\:θ

\frac{r}{x} = sec\:θ

\frac{r}{y} = csc\:θ

\frac{x}{y} = cot\:θ

<u>Radius Formula</u>

{y}^{2} + {x}^{2} = {r}^{2}

{[-\sqrt{15}]}^{2} + {[-\sqrt{10}]}^{2} = {r}^{2} → 15 + 10 = {r}^{2} → 25 = {r}^{2}\\ \\ 5 = r

* Since we are talking about radii, we only want the NON-NEGATIVE root.

In this case, we will not be using the radius in our ratio, according to the trigonometric identity above because we are using the <em>tangent</em><em> </em>ratio:

\frac{\sqrt{6}}{2} = \frac{-\sqrt{15}}{-\sqrt{10}} = \sqrt{1\frac{1}{2}}

I am joyous to assist you anytime.

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6/8 divided by 2 is 3/8.

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