This topic focuses on understanding and solving for unknown angles when dealing with parallel lines and their intersections with other lines (often forming right angles). The problems involve determining the measure of the angle labeled as 'X' in a variety of geometric configurations, applying knowledge of parallel, intersecting, and perpendicular lines. Each question is presented with a diagram followed by multiple-choice answers. These exercises aim to enhance skills in angle relationships, such as corresponding, alternate interior, and same-side interior angles in the context of parallel and intersecting line geometry.

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Geometry Solve Angle - Parallel Lines with Angle and Right Connection Worksheet

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Algebraic Functions - Factor the Quadratic Equation with Coefficient
1
Which answer is the same expression as this
A LaTex expression showing 42y to the power of 2 + 59y + 20
a A LaTex expression showing (7y + 5)(y + 4)
b A LaTex expression showing (20y - 5)(y + 4)
c A LaTex expression showing (6y + 5)(y + 4)
d A LaTex expression showing (7y + 5)(76y - 4)
e A LaTex expression showing (59y - 5)(6y + 4)
f A LaTex expression showing (6y + 5)(7y + 4)
2
Which answer is the same expression as this
A LaTex expression showing 48d to the power of 2 + 72d + 24
a A LaTex expression showing (72d - 6)(6d + 4)
b A LaTex expression showing (8d + 6)(d + 4)
c A LaTex expression showing (8d + 6)(86d - 4)
d A LaTex expression showing (24d - 6)(d + 4)
e A LaTex expression showing (6d + 6)(8d + 4)
f A LaTex expression showing (6d + 6)(d + 4)
3
Which answer is the same expression as this
A LaTex expression showing 12c to the power of 2 + 50c + 42
a A LaTex expression showing (42c - 6)(c + 7)
b A LaTex expression showing (2c + 6)(c + 7)
c A LaTex expression showing (6c + 6)(c + 7)
d A LaTex expression showing (2c + 6)(6c + 7)
e A LaTex expression showing (6c + 6)(62c - 7)
f A LaTex expression showing (50c - 6)(2c + 7)
4
Which answer is the same expression as this
A LaTex expression showing 24b to the power of 2 + 48b + 24
a A LaTex expression showing (3b + 8)(b + 3)
b A LaTex expression showing (8b + 8)(3b + 3)
c A LaTex expression showing (3b + 8)(38b - 3)
d A LaTex expression showing (48b - 8)(8b + 3)
e A LaTex expression showing (24b - 8)(b + 3)
f A LaTex expression showing (8b + 8)(b + 3)
5
Which answer is the same expression as this
A LaTex expression showing 2m to the power of 2 + 20m + 18
a A LaTex expression showing (m + 9)(m + 2)
b A LaTex expression showing (20m - 9)(4m + 2)
c A LaTex expression showing (2m + 9)(m + 2)
d A LaTex expression showing (m + 9)(2m + 2)
e A LaTex expression showing (2m + 9)(24m - 2)
f A LaTex expression showing (18m - 9)(m + 2)
6
Which answer is the same expression as this
A LaTex expression showing 25d to the power of 2 + 70d + 45
a A LaTex expression showing (45d - 5)(d + 9)
b A LaTex expression showing (5d + 5)(d + 9)
c A LaTex expression showing (5d + 5)(5d + 9)
d A LaTex expression showing (70d - 5)(5d + 9)
e A LaTex expression showing (5d + 5)(d + 9)
f A LaTex expression showing (5d + 5)(55d - 9)
7
Which answer is the same expression as this
A LaTex expression showing 48y to the power of 2 + 66y + 21
a A LaTex expression showing (6y + 7)(68y - 3)
b A LaTex expression showing (21y - 7)(y + 3)
c A LaTex expression showing (8y + 7)(y + 3)
d A LaTex expression showing (8y + 7)(6y + 3)
e A LaTex expression showing (66y - 7)(8y + 3)
f A LaTex expression showing (6y + 7)(y + 3)
8
Which answer is the same expression as this
A LaTex expression showing 54n to the power of 2 + 87n + 35
a A LaTex expression showing (9n + 7)(n + 5)
b A LaTex expression showing (6n + 7)(n + 5)
c A LaTex expression showing (87n - 7)(9n + 5)
d A LaTex expression showing (35n - 7)(n + 5)
e A LaTex expression showing (9n + 7)(6n + 5)
f A LaTex expression showing (6n + 7)(69n - 5)