A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles?
CHOICES

40 degrees and 40 degrees

40 degrees and 140 degrees

65 degrees and 115 degrees

75 degrees and 105 degrees

Answer:

Let us mark the points R and S on line p, T and U on line q, A and B on line l and C and D on line m.

Suppose the lines p and q intersect the line l at K and L respectively and line m at N and M respectively.

Since, AB is a straight line and ray KN stands on it, then

∠NKL + ∠NKA = 180∘ (Angles in a linear pair)

⇒110∘ + a = 180∘

⇒a = 180∘ − 110∘ = 70∘

Since, line p || line q and line l is a transversal intersecting them at K and L, then

∠TLB = ∠NKA (Alternate exterior angles)

⇒b = a

⇒b = 70∘

Since, line p || line q and line m is a transversal intersecting them at N and M, then

∠CNK = ∠NML (Corresponding angles)

⇒c = 115∘

Since, CD is a straight line and ray ML stands on it, then

∠NML + ∠LMD = 180∘ (Angles in a linear pair)

⇒115∘ + d = 180∘

⇒d = 180∘ − 115∘ = 65∘

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A. a - b is a positive
____________________________________
B. b - a is a positive
____________________________________
C. b + (-a) is a negative
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COUNTEREXAMPLE : its a theory HELP MEEEEE PLES

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Use the order of operations to simplify
1/9×3^3−2(1/6+2/3).

A)-1
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uh sp uh...................

h e l p -

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13,336 = 6,912 + 4,436 + h


There are _______spaghetti hats at the amusement park.

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A y=x−2

B y=5(x+3)

C y = 5x + 3

D y = 3x

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Refer to the graphic novel frame above​

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5:3
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1. For every 3 cups of lemonade, there are 7 cups of iced tea.

2.For every 3 cups of lemonade, there are 4 cups of iced tea.

3. For every 7 cups of lemonade, there are 4 cups of iced tea.
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a.3, 4, 5
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