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Serggg [28]
3 years ago
8

-3[10-(3-8)+4-2²-3(4-9)]​

Mathematics
1 answer:
NISA [10]3 years ago
4 0

−3(10−(3−8)+4−2²-−3(4−9))

=−3(10−(−5)+4−2²-−3(4−9))

=−3(15+4−2²-−3(4−9))

=−3(19−2²-−3(4−9))

=−3(19−4−3(4−9))

=−3(15−3(4−9))

=−3(15−(3)(−5))

=−3(15−(−15))

=(−3)(30)

=−90

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The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Further explanation:

Given:

The compositions of transformations from EFGH to {\text{E''F''G''H''}} are as follows,

(a). A reflection across line k followed by a translation down.

(b). A translation down followed by a reflection across line k.

(c). A {180^ \circ } rotation about point G followed by a translation to the right.

(d). A translation to the right followed by a {180^ \circ } rotation about point G.

Explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.

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