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Katen [24]
3 years ago
10

Select from the drop-down menus to correctly complete each statement. Quadrilateral ABCD can be mapped onto quadrilateral EFGH w

ith a followed by a . The figures are . Coordinate plane with x axis from negative -10 to 2 and y axis from negative 2 to 10. Quadrilateral A B C D has vertices A begin ordered pair negative 9 comma 5 end ordered pair, B begin ordered pair negative 7 comma 3 end ordered pair, C begin ordered pair negative 5 comma 4 end ordered pair, and D begin ordered pair negative 6 comma 8 end ordered pair. Quadrilateral E F G H has vertices E begin ordered pair negative 2.5 comma negative 4.5 end ordered pair, F begin ordered pair negative 1.5 comma negative 3.5 end ordered pair, G begin ordered pair negative 2 comma negative 2.5 end ordered pair, and H begin ordered pair negative 4 comma negative 3 end ordered pair.
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0
This can be done with a dilation followed by a rotation.

When you plot the points and compare the coordinates, you can see that the coordinates of E, the image of A, are cut in half, the x- and y-values are swapped, and the y-value is negated.  A dilation will cut it in half, and a rotation will swap the coordinates and negate them.
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pochemuha

Answer:

(goh) (0) = 4

Step-by-step explanation:

Given that,

g(x) = 2x

h(x) = x² + 4

We need to find the value of (goh) (0).

Firstly we find (goh),

(goh) = g(h(x))

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(goh) (0) = 0²+4

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dolphi86 [110]

The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Step-by-step explanation:

The given is,

                 Right angled triangle,

                 Side lengths are 8, 15, and 17  

Step:1

                The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,

               Ref the attachment,

               For angle a,

                            ...................................................(1)

                 Where,  Opp - 8

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.470588

                                      (0.470588)

                                   a = 28.072°

                    For angle b,

                                  ...................................................(1)

                 Where,  Opp - 15

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.882352

                                      (0.882352)

                                   b = 61.93°

Step:2

          Check for solution for right angle triangle,

                        90 ° = Other 2 angles

                        90 ° = a + b

                        90 ° = 28.072° + 61.93°

                        90 ° = 90 °

Result:

          The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

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Step-by-step explanation:

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