Find the sum of interior angles of 13-sided polygon.

Which rule describes the translation below ? In the picture

rewona [7]

The translation rule which describes the given translation is $\fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}$ .

Further explanation:

Translation is defined as the shifting of the curve in which each point on the curve is shifted in such a way that the shape and size of the curve remains unchanged but the position of each point is changed by a fixed distance.

In the given figure there are two right angle triangle as $S'T'U'$ and $STU$ .

The coordinates of the right angle triangle $S'T'U'$ are $(-4,2),(-4,-2)$ and $(-1,-2)$ and the coordinates of the right angle triangle $STU$ are $(1,5),(1,1)$ and $(4,1)$ .

Consider that the triangle $STU$ is obtained after the translation of each point on the triangle $S'T'U'$ .

The coordinate of the point $S'$ in triangle $S'T'U'$ is $(-4,2)$ .

Step 1:

Use the translation $(x,y)\rightarrow(x-5,y-3)$ for the point $S'$ .

$\fbox{\begin\\\(-4,2)\rightarrow(-4-5,2-3)=(-9,-1)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x-5,y-3)$ the coordinate of the point $S$ is $(-9,-1)$ , but in the given figure the coordinate of the point $S$ is $(1,5)$ .

So, the translation $(x,y)\rightarrow(x-5,y-3)$ is incorrect.

Step 2:

Use the translation $(x,y)\rightarrow(x-3,y-5)$ for the point $S'$ .

$\fbox{\begin\\\(-4,2)\rightarrow(-4-3,2-5)=(-7,-3)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x-3,y-5)$ the coordinate of the point $S$ is $(-7,-3)$ , but in the given figure the coordinate of the point $S$ is $(1,5)$ .

So, the translation $(x,y)\rightarrow(x-3,y-5)$ is incorrect.

Step 3:

Use the translation $(x,y)\rightarrow(x+5,y+3)$ for the point $S'$ .

$\fbox{\begin\\\(-4,2)\rightarrow(-4+5,2+3)=(1,5)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x+5,y+3)$ the coordinate of the point $S$ is $(1,5)$ which is correct as the coordinate for the point $S$ given in the figure is $(1,5)$ .

Step 4:

Use the translation $(x,y)\rightarrow(x+5,y+3)$ for the point $T'$ .

$\fbox{\begin\\\(-4,-2)\rightarrow(-4+5,-2+3)=(1,1)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x+5,y+3)$ the coordinate of the point $T$ is $(1,1)$ which is correct as the coordinate for the point $T$ given in the figure is $(1,1)$ .

Step 5:

Use the translation $(x,y)\rightarrow(x+5,y+3)$ for the point U’.

$\fbox{\begin\\\ (-1,-2)\rightarrow(-1+5,-2+3)=(4,1)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x+5,y+3)$ the coordinate of the point $T$ is $(4,1)$ which is correct as the coordinate for the point $U$ given in the figure is $(4,1)$ .

As per the above calculation it is concluded that the translation $(x,y)\rightarrow(x+5,y+3)$ is correct for the shifting of each point on the triangle $S'T'U'$ to each point on the triangle $STU$ .

The translation of each point on the triangle $S'T'U'$ is shown in the image attached below.

Therefore, the correct translation rule for the shifting of the triangle $S'T'U'$ to the triangle $STU$ is $\fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}$

Learn more:

A problem to determine the range of a function brainly.com/question/3852778
A problem to determine the vertex of a curve brainly.com/question/1286775
A problem to convert degree into radians brainly.com/question/3161884

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: Translation, shifting, graph, geometry, coordinate geometry, coordinates, shifting of graph, triangle, right angle triangle, movement of curve, shifting of curve, translation of curve.

7 0

3 years ago

Read 2 more answers

Write the equation of a line that is parallel to y=0.6x + 3 and that passes through the point (-3,-5)

Mkey [24]

Answer:

$\large\boxed{y=0.6x-3.2}$

Step-by-step explanation:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have

$y=0.6x+3$

Parallel lines have the same slope. Therefore we have the equation:

$y=0.6x+b$

The line passes through the point (-3, -5). Put the coordinates of the point to the equation and solve it for b:

$-5=0.6(-3)+b$

$-5=-1.8+b$ <em>add 1.8 to both sides</em>

$-3.2=b$

Finally we have:

$y=0.6x-3.2$

8 0

3 years ago

Suden wants to know the theoretical and experimental probability of rolling a number smaller than a 3 on a 6-sided number cube n

MakcuM [25]

Answer:

The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____

Step-by-step explanation:

The experimental probability is

P (<3) = ( getting a one or 2)/ number of times that he rolled

He rolled a one or a two 2 times of the 8 times rolled

= 2/8 = 1/4

Theoretical probability is what we expect happen

P (<3) = (getting a one or two) / 6

= 2/6 = 1/3

The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____

4 0

3 years ago

Acetaminophen is a common pain reliever and fever reducer. Here is a graph showing the amount of acetaminophen, in milligrams, i

andrew11 [14]

Answer:

I don't know 1

2. 3/4

3. y= 1000(0.75)^x

Step-by-step explanation:

6 0

3 years ago

The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level. F

OlgaM077 [116]

Answer:

The Sample size is 1918.89035

Step-by-step explanation:

Consider the provided information.

It is given that 14 out of 105 samples failed.

Therefore p = 14/105 = 0.13 3... and q=1-0.133=0.867

Samples would be needed to create a 99 percent confidence interval.

Subtract the confidence level from 1, then divide by two.

$\frac{(1 -0.99)}{2}=0.005$

By standard normal table z=2.5758≈2.58

Calculate the sample size as:

$n=\frac{z^2pq}{e^2}$

Where, e is the margin of error,

Substitute the respective values.

$n=\frac{(2.58)^2(0.133)(0.867)}{(0.02)^2}=1918.89$

Hence, the Sample size is 1918.89035

4 0

3 years ago