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∘

1. A 1500 kg car starts at rest and speeds up to 3.0 m/s. The gain in kinetic energy is 6750 J.
TRUE or FALSE

plz help ill give BRAINLIEST it for a test fast plz
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d.6, 8, 12
e.2, 3, 5

Please help me with at least one problem. Thanks

Please help me thank you

pease answer I need the answer
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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.
For every 7 cups of lemonade, there are 3 cups of iced tea
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Be creative and come up with your own idea.
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Eeeeeeeeeeeeee please hurry qwq

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

A)-1
B)1 1/3
C)1 5/6
D)2 1/3

A car made a 60-mile trip at an average speed of 20 mph. On the return trip, the car's average speed was 30mph. What was the average speed of the car for the entire two-way trip?

A) 30 mph
B) 26.5 mph
C) 26 mph
d) 24 mph

2 1/6 + -5/6 = ? please if its a decimal please right 3.2 instead of 3.4839

4) 2/5 = 14/?

5) 13/? =91/175

6) 7/10 = 49/?

Please help- Grades go out tomorrow!

Surface water has no relationship to groundwater since it is formed in different parts of the watershed. True or False?

Can someone be wholesome and help me with this ;-;

Someone, please help me out! (y0u can z00m in)

Pls Answer Correctly, What is this Math Problem? Pls don't spam...

Refer to the graphic novel frame above​

I need help with all of the questions. This is what I’m supposed to do while I’m done with my homework. I’m having so,e problems with all of them and not being able to understand them easily.

Fernando is ordering building materials for the construction of a very large office building. He has purchased LaTeX: 5.65 \times 10^{6}5.65 × 10 6 feet of beams for the building from a supplier. • If the supplier delivered LaTeX: 5.9 \times 10^{6}5.9 × 10 6 feet of beams, how much extra material does Fernando have? • Express your answer in standard form AND in scientific notation. Use words, numbers, to show your answer

What is the answer to the riddle
I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I?
please don't use google and mess it up for others
brainliest if right

Figure out these Writing Proportions Please!

I WILL MARK BRAINEST IF YOU ANSWER CORRECTLY Which shows the correct way to use the rule “multiply by the reciprocal” for the expression below? 5 divided by StartFraction 2 Over 9 EndFraction StartFraction 5 Over 1 EndFraction times StartFraction 9 Over 2 EndFraction = StartFraction 45 Over 2 EndFraction StartFraction 5 Over 1 EndFraction times StartFraction 2 Over 9 EndFraction = StartFraction 10 Over 9 EndFraction StartFraction 1 Over 5 EndFraction times StartFraction 9 Over 2 EndFraction = StartFraction 9 Over 10 EndFraction StartFraction 1 Over 5 EndFraction times StartFraction 2 Over 9 EndFraction = StartFraction 2 Over 45 EndFraction

solve for the varible
1) 7= 1+ 2p 2) -3p + 5= 8

uh sp uh...................

h e l p -

If A. is a negative rational number and B. is a positive rational number, which of the following must be true? Give an example for the statements that are true and a COUNTEREXAMPLE for the statements that are false.

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

Please someone answer for this question

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


There are _______spaghetti hats at the amusement park.

Again, a little help here? ;w;

help again please really appreciate it