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romanna [79]
3 years ago
15

Question 4

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer: No, Titus is incorrect.

Step-by-step explanation: Two shapes are <u>congruent</u> when they have the same size and shape, but one is created of rotation, reversion or translation of the other.

So, hexagons FEDCBA and F'E'D'C'B'A' are congruent because they have the same size and shape, however they are reversed and translated from each other, i.e.:

Comparing the coordinates of both hexagons:

F (-6,6) → F' (6, -4)

A (-10,6) → A' (10,-4)

E (-4,4) → E' (4, -6)

B (-12,4) → B' (12, -6)

D (-6,2) → D' (6, -8)

C (-10,2) → C' (10, -8)

We notice that the transformation necessary to transform FEDCBA into F'E'D'C'B'A' is

  • multiply x-coordinate by (-1);
  • subtract y-coordinate by 10;

Therefore, it is (x,y) → ( -x, y-10).

So, Titus is incorrect about the transformations that prove the hexagons are congruent.

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Rufina [12.5K]

Answer:  (x-2)^2 + (y+3)^2 = 36\\\\

Work Shown:

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Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in (x-h)^2 + (y-k)^2 = r^2\\\\ form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).

3 0
2 years ago
A playground is shaped like a quaderaleteral with all sides 27 feet long, with two angles measures of 65 degrees and two angles
Ksivusya [100]

Answer:

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Step-by-step explanation:

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It is given that  all sides of a quadrilateral are= 27 feet

Since all the sides of a quadrilateral are equal that it can be either a rhombus or it can be a square

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And other two angers are 115° each

65°+ 115°= 180°

It forms a co-interior angle

Hence the quadrilateral is a parallelogram

Since all the four sides of parallelogram are equal, than the given figure must be rhombus

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7 0
3 years ago
Factor completely 3x^2 - x - 4
kakasveta [241]

Answer:

<em>B. </em>(3x-4)(x+1)<em></em>

Step-by-step explanation:

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3 years ago
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This is because you divide 1.49 over 10 like so: 1.49/10 = 0.149, then round this to the nearest penny to get 0.15

0.15 dollars = 15 cents

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7 0
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The equation would be
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Answer - 13 ft
3 0
3 years ago
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