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Answer:
k=7
Step-by-step explanation:
4+k=11
subtract 4 from both sides to isolate k
k= 7
Answer:
Correct choices are A and C
Step-by-step explanation:
Inscribed angles property: The inscribed angles subtended by the same arc are equal.
1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).
2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).
3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.
4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.
Answer:
line B'C' = 1
m<C'D'A' = 90 degrees (it is still a rectangle)
Step-by-step explanation:
Dilation of coordinates:
Original: d:(3,2), a:(3,4), b:(7,4), c:(7,2)
Divide all numbers by 2.
Altered: d:(1.5,1), a:(1.5,2), b:(3.5,2), c:(3.5,1)