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m_a_m_a [10]
2 years ago
5

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown. R (1, 1) S (3, 1) T (1,

6) R' (–1, –1) S' (–3, –1) T' (–1, –6) Which best describes the transformation? The transformation was a 90° rotation about the origin. The transformation was a 180° rotation about the origin. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.
Mathematics
2 answers:
Feliz [49]2 years ago
8 0
The transformation was a 180° rotation about the origin.
Because, if we take formulas of rotation about the origin:
X1=x*cos£+y*sin£.
Y1=-x*sin£+y*cis£.
And £=180°
Than we recieve
x1=-x
y1=-y
Snowcat [4.5K]2 years ago
5 0

Answer:

B

Step-by-step explanation:

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A report from a Gallup poll 1 in 2011 started by saying, "Forty-five percent of American adults reported getting their health in
snow_tiger [21]

Answer:

The interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).

Step-by-step explanation:

The confidence interval is the interval estimate of the population parameter.

The confidence interval has a certain probability that the true value of the parameter is contained in the interval.

The general form of the confidence interval is:

CI=SS\pm MOE

Here,

SS = sample statistic.

MOE = margin of error

The sample statistic is an unbiased estimator of the population parameter. If the sample size is large enough then the sample statistic can be used to estimate the population parameter value.

In this case the parameter of interest is the population proportion of American adults who got their health insurance from an employer.

The information provided is:

<em>SS = p = </em>0.45.

<em>MOE</em> = 0.02.

Compute the confidence interval for the population proportion <em>p</em> as follows:

CI=p\pm MOE\\=0.45\pm 0.02\\=(0.43, 0.47)

Thus, the interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).

3 0
2 years ago
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that
svetoff [14.1K]
Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,       
 
        y = mx + b 

where m is slope and b is the y-intercept.

Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2

A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1

B. 2y = 1.5x - 1
Slope-intercept:  y = 3x/4 - 1/2

C. 3x + 4y = 2
Slope-intercept:  y = -3x/4 + 1/2

D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2

Hence, the answers to this item are A and D. 
6 0
2 years ago
anna can buy 3 sweatshirts for a total of $45.how much would it cost if she were to buy 5 sweatshirts at same price?
Feliz [49]

Answer: Anna could buy 5 sweatshirts for $75.

Step-by-step explanation:

lets figure out the price of one sweatshirt.

45/3 = 15

one sweatshirt is $15

5*15=75

so 5 sweatshirts cost $75

6 0
2 years ago
Which shows the correct first step to solving the system of equations in the most efficient manner? 3 x + 2 y = 17. x + 4 y = 19
skelet666 [1.2K]

Answer: First option.

Step-by-step explanation:

<h3> The missing picture is attached.</h3><h3></h3>

You can use these methods to solve a System of Equations and find the value of the variables:

A. Substitution method.

B. Elimination method.

In this case, given the following System of equations:

\left \{ {{3 x + 2 y = 17} \atop {x + 4 y = 19}} \right.

The most efficient method to solve it is the Substitution Method. The procedure is:

Step 1: Solve for one of the variables from the most convenient equation.

Step 2: Make the substitution into the other equation and solve for the other variable in order to find its value.

Step 3: Substitute the value obtained into the equation from Step 1 and evaluate, in order to find the value of the  other variable.

Based on this, you can identify that first step to solve the given System of equations, is solving for "x" from the second equation:

x + 4 y = 19\\\\x=-4y+19

3 0
2 years ago
Read 2 more answers
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