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3 years ago

Which rigid transformation(s) can map TriangleFGH onto TriangleVWX?

Mathematics

2 answers:

ch4aika [34]3 years ago

8 0

Answer:

Rotation then translation

Step-by-step explanation:

First a rotation anticlockwise about G. then a translation to the right.

Olin [163]3 years ago

7 0

Answer:

Option C.

Step-by-step explanation:

From the given graph it is clear that in triangle FGH anf triangle VWX,

$FG\cong VW$

$GH\cong WX$

$FH\cong VX$

By SSS both triangles are congruent.

After dilation the figure and its image are similar but not congruent. So, option D is incorrect.

After reflection the figure will be reflected about a side or line. Then triangle FGH will not onto triangle VWX. So, options A and B are incorrect.

If triangle FGH rotated 18 degree about the point G and after than translated to the right, then we get the triangle VWX.

It means rotation, then translation can map triangle FGH onto triangle VWX

Therefore, the correct option is C.

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You run out of gas and measure the amount of gas it takes to fill the tank. Is this data a type discrete or continuous

ziro4ka [17]

I think it is continuous

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3 years ago

HELP ME PLS!!!! Which function represents a proportional relationship? A) f(x) = 3x 4 B) f(x) = 3 4x C) f(x) = 3x 4 + 3 4 D) f(x

Ganezh [65]

Answer:

Option B

$f(x)=\frac{3}{4}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the only linear function that passes through the origin is

$f(x)=\frac{3}{4}x$

where

The constant of proportionality is k=3/4

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3 years ago

Convert 5280 vodas to pivos. Show three significant figures for your answer.

Finger [1]

(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos

(because 5280 has 3 significant digits)

8 0

3 years ago

Identify the equation in slope-intercept form for the line containing the point (2,1) and parallel to y=5/3x−1/3.

Murljashka [212]

Answer:

Step-by-step explanation:

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3 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

For the first parenthesis:

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

For the second parenthesis:

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

4 years ago