Mrs. Rivas

Homework

6.

by the Corollary to the ∆ Exterior angle Theorem. because they are vertical angles.

Thus, By substitution.

Exterior angle

Remote angles

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Mrs. Rivas

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8.

Exterior angle

Remote angles

by the Corollary to the ∆ Exterior angle Theorem. because lines form Alternate Interior AnglesThus, By substitution.

Pg. 328-329 # 6-34 Even and 37-39 All

Mrs. Rivas

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10. 𝑫 ,𝑪 , 𝑬

Pg. 328-329 # 6-34 Even and 37-39 All

Mrs. Rivas

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12.A, B, C

𝑨

𝑩

𝑪

𝟖 𝟓

𝟕

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Mrs. Rivas

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14. Z, X, Y

𝑿

𝒀

𝒁

𝟏𝟐 𝟐𝟒

𝟑𝟎

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Mrs. Rivas

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16.

,

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Mrs. Rivas

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18.

, 𝑨

𝑩

𝑪𝟗𝟎

𝟒𝟎

𝟓𝟎

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Mrs. Rivas

Homework

20.

𝑿

𝒀

𝒁𝟓𝟏

𝟓𝟗

𝟕𝟎 ,

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Mrs. Rivas

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22.

𝟏𝟏+𝟏𝟐>𝟏𝟓𝟐𝟑>𝟏𝟓𝒚𝒆𝒔

𝟏𝟐+𝟏𝟓>𝟏𝟏𝟐𝟕>𝟏𝟏𝒚𝒆𝒔

𝟏𝟏+𝟏𝟓>𝟏𝟐𝟐𝟔>𝟏𝟐𝒚𝒆𝒔

𝒚𝒆𝒔

Pg. 328-329 # 6-34 Even and 37-39 All

Mrs. Rivas

Homework

22.

𝟏+𝟏𝟓>𝟏𝟓𝟏𝟔>𝟏𝟓𝒚𝒆𝒔

𝒀𝒆𝒔

𝟏𝟓+𝟏𝟓>𝟏𝟑𝟎>𝟏𝒚𝒆𝒔

𝟏+𝟏𝟓>𝟏𝟓𝟏𝟔>𝟏𝟓𝒚𝒆𝒔

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Mrs. Rivas

Homework

26.

𝟒+𝟓>𝟗𝟗≯� 𝟗𝒏𝒐

𝑵𝒐

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Mrs. Rivas

Homework

28.

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𝒙+𝟓>𝟏𝟔𝒙>𝟏𝟏

𝒙+𝟏𝟔>𝟓𝒙>−𝟏𝟏

𝟏𝟔+𝟓>𝒙𝟐𝟏>𝒙

𝟏𝟏𝒊𝒏 .<𝒙<𝟐𝟏𝒊𝒏 .

Mrs. Rivas

Homework

30.

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𝒙+𝟏𝟖>𝟐𝟑𝒙>𝟓

𝒙+𝟐𝟑>𝟏𝟖𝒙>−𝟓

𝟐𝟑+𝟏𝟖>𝒙𝟒𝟏>𝒙

𝟓𝒎<𝒙<𝟒𝟏𝒎

Mrs. Rivas

Homework

32.

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𝒙+𝟐𝟎>𝟑𝟓𝒙>𝟏𝟓

𝒙+𝟑𝟓>𝟐𝟎𝒙>−𝟏𝟓

𝟐𝟎+𝟑𝟓>𝒙𝟓𝟓>𝒙

𝟏𝟓𝒎<𝒙<𝟓𝟓𝒌𝒎

Mrs. Rivas

Homework

34.

A

B

C70

2x 10

3x + 20

30

80

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∠𝑨+∠𝑩+∠𝑪=𝟏𝟖𝟎𝟕𝟎+𝟐𝒙 −𝟏𝟎+𝟑 𝒙+𝟐𝟎=𝟏𝟖𝟎

𝟓 𝒙+𝟖𝟎=𝟏𝟖𝟎𝟓 𝒙=𝟏𝟎𝟎𝒙=𝟐𝟎

Mrs. Rivas

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37.

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39.

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Mrs. Rivas

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39.

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Mrs. Rivas

HomeworkPg. 336-337 # 6-20 Even

𝑨𝑩<𝑨𝑫

Mrs. Rivas

HomeworkPg. 336-337 # 6-20 Even

𝑳𝑴<𝑲𝑳

Mrs. Rivas

HomeworkPg. 336-337 # 6-20 Even

The opening; the lengths of the two sections of the robotic arm do not change as the are moves.

The included angle between the arm sections of the opening os greater than the included angle of the opening, so by the Hinge Thm., the tip of the arm is closer to the base for the opening.

Mrs. Rivas

HomeworkPg. 336-337 # 6-20 Even

𝟔<𝒙<𝟐𝟒

𝟑𝟔>𝟐𝒙 −𝟏𝟐𝟒𝟖>𝟐 𝒙𝟐𝟒>𝒙

𝟐 𝒙−𝟏𝟐>𝟎𝟐 𝒙>𝟏𝟐𝒙>𝟔

Mrs. Rivas

HomeworkPg. 336-337 # 6-20 Even

𝟐 .𝟓<𝒙<𝟏𝟓

𝟓𝟎>𝟒 𝒙−𝟏𝟎𝟔𝟎>𝟒 𝒙𝟏𝟓>𝒙

𝟒 𝒙−𝟏𝟎>𝟎𝟒 𝒙>𝟏𝟎𝒙>𝟐 .𝟓

Mrs. Rivas

HomeworkPg. 336-337 # 6-20 Even

𝑷𝑻 <𝑸𝑹 ;𝑸𝑷=𝑻𝑹 ,𝑸𝑻=𝑻𝑸 ,𝒎∠𝑷𝑸𝑻 <𝒎∠𝑹𝑻𝑸 ,𝑺𝒐 ,𝑷𝑻 <𝑸𝑹𝒃𝒚 𝒕𝒉𝒆 𝑯𝒊𝒏𝒈𝒆𝑻𝒉𝒎 .

Mrs. Rivas

HomeworkPg. 336-337 # 6-20 Even

𝑷𝑻 <𝑹𝑺 ;𝑸𝑷=𝑻𝑹 ,𝑸𝑻=𝑻𝑺 ,𝒎∠𝑷𝑸𝑻 <𝒎∠𝑹𝑻𝑺 ,𝑺𝒐 ,𝑷𝑻 <𝑹𝑺𝒃𝒚 𝒕𝒉𝒆 𝑯𝒊𝒏𝒈𝒆𝑻𝒉𝒎 .

Mrs. Rivas

HomeworkPg. 336-337 # 6-20 Even