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BartSMP [9]
2 years ago
6

Determine if the two figures are congruent and explain your answer using transformations.

Mathematics
1 answer:
IRISSAK [1]2 years ago
7 0

Answer:

Comparing each pair of lines,

AB and EF,

BC and FG,

CD and GH,

DA and HE.

For, AB and EF,

If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.

Also, we can use the formula, for the distance between two points on a coordinate plane,

,

As we can see in the image,

A = (-1, 1),

B = (-3, 2),

C = (-4, 4),

D = (-2, 6),

E = (2, 0),

F = (4, 1),

G = (5, 3),

H = (3, 5),

Solving using the formula,

AB = EF = √5,

BC = FG = √5,

CD = GH = √8,

DA = HE = √26,

Therefore, the length of all the sides of the polygon are the same,

Hence, the two figures are congruent.

Step-by-step explanation:

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goldenfox [79]

Answer:

-4<11-(32/10)  

Inequality is always true

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    -4-(11-(32/10))<0  

Step by step solution :

Step  1  :

           16

Simplify   ——

           5  

Equation at the end of step  1  :

              16

 -4 -  (11 -  ——)  < 0  

              5  

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          11     11 • 5

    11 =  ——  =  ——————

          1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

11 • 5 - (16)     39

—————————————  =  ——

      5           5  

Equation at the end of step  2  :

       39

 -4 -  ——  < 0  

       5  

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          -4     -4 • 5

    -4 =  ——  =  ——————

          1        5    

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

-4 • 5 - (39)     -59

—————————————  =  ———

      5            5  

Equation at the end of step  3  :

 -59

 ———  < 0  

Step-by-step explanation:

4 0
4 years ago
What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x + 5)?
dedylja [7]

Answer:

D) The graph of the line shifts horizontally left 5 units.

Adding a number, n, inside of the parenthesis with x would move the parent function n units to the left.




6 0
4 years ago
Read 2 more answers
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hjlf
54%
Just divide 450 out of 828
450/828= 0.54347
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4 0
3 years ago
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tekilochka [14]
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Debora [2.8K]

Answer:

The margin of error increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the​ parameter, the larger the margin error.

Step-by-step explanation:

Margin of Error is a statistical measure of random sampling error insurvey results.

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