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∘

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

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

Please someone answer for this question

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 ;-;

Again, a little help here? ;w;

Figure out these Writing Proportions Please!

Please help me thank you

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

pease answer I need the answer
Did you know that chickens sometimes eat vegetables and fruits? A farmer likes to give the chickens apples to share. The farmer observes that 3 chickens eat 5 apples. What is the ratio of the number of chickens to apples? (4 points) Group of answer choices
2:5
5:3
5:2
3:5
For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 3:7. Which of the following best describes the amount of lemonade to iced tea? (4 points)

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
On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza? (4 points)
$4.38
$78.84
$23.28
$8.76
a biker traveled 24 miles in 6 hours. A unit rate to describe this would be 4 miles per hour. What is another unit rate in this situation? (4 points)
1 over 4 hour per mile
4 hours per mile
1 mile per hour
1 over 4 mile per hour
Store ___ has the better deal. (4 points)
A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours. (5 points)
Part A: Use ratio language to describe the relationship of any two things you can think of.
Example: For every 5 minutes of jogging, I ran 500 yards.
Be creative and come up with your own idea.
Part B: Determine the unit rate in your example. (5 points)

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

Which relationship between x and y in the equation shows a proportional relationship?

A y=x−2

B y=5(x+3)

C y = 5x + 3

D y = 3x

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

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

plz help ill give BRAINLIEST it for a test fast plz
Which of the following could be side lengths of a right triangle? Select all that apply.
a.3, 4, 5
b.5, 12, 13
c.7, 24, 25
d.6, 8, 12
e.2, 3, 5

4) 2/5 = 14/?

5) 13/? =91/175

6) 7/10 = 49/?

Please help- Grades go out tomorrow!

help again please really appreciate it

Please help me with at least one problem. Thanks

Compare the linear functions. Which function has the largest y-intercept?

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

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

h e l p -

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

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

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

Eeeeeeeeeeeeee please hurry qwq

Rosa has a checking account. On Monday she writes a $150 check for groceries. Then she deposits $225. Finally, she writes another check for $40 to buy new headphones. What is the total change in the amount in Jazella's checking account?

At an amusement park, there are 6,912 moon shoes and 4,436 cactus plants. There are a total of 13,336 prizes. How many spaghetti hats are at the amusement park? Solve for the value of h on paper.


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


There are _______spaghetti hats at the amusement park.

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.

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

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