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marusya05 [52]
1 year ago
11

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the in

tersection of lines k and m, the bottom right angle is 93 degrees. Given the information in the diagram, which theorem best justifies why lines j and k must be parallel? a) alternate interior angles theorem b) alternate exterior angles theorem c) converse alternate interior angles theorem d) converse alternate exterior angles theorem

Mathematics
2 answers:
Nutka1998 [239]1 year ago
8 1

Answer:

b) alternate exterior angles theorem

Step-by-step explanation:

When two lines are cut by a transversal, the alternate exterior angles are congruent. In the first diagram:

  • x and y are congruent
  • a and b are congruent

Comparing with our given lines, j, k and m.

We can see that the two given angles are in the same position as in the first image. Therefore, lines j and k are parallel by the alternate exterior angles theorem.

Guest
1 year ago
this one was wrong for me
klemol [59]1 year ago
8 0

Answer:

converse of the alternate interior angles theorem

Step-by-step explanation:

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At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 31% of courses have a res
beks73 [17]

Answer:

0.25

Step-by-step explanation:

72% of courses have final exams and 46% of courses require research papers which means probability of 0.72 for courses that have final exams and 0.46 for courses that require research papers.

31% of courses have a research paper and a final exam, which means probability of 0.31 for both courses with exams and research papers, using Venn diagram approach, find picture attached to the solution.

P(R or E) = P(R) + P(E) - P(R and E), which gives:

P(R or E) = 0.15 + 0.41 - 0.31

P(R or E) = 0.25.

6 0
2 years ago
The two parts to a recursive formula are the starting term and the ____ used to find the next term.
DIA [1.3K]

Answer:

Recursive formulas give us two pieces of information:

   The first term of the sequence

   The pattern rule to get any term from the term that comes before it

So I think A.Pattern

6 0
2 years ago
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Consider a picnic. if you want to buy enough hot dogs and buns without having any left over, you need to balance the number of p
Leni [432]
No guarantee that there will enough hotdogs for the buns, we must find the common multiple between the usual number of hot dogs and buns in each package.

Since we're looking for the smallest common multiple between 8 and 10, we can use the method shown below to compute for the least common multiple. 

8 = 2³ 
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LCM = 2³ x 5 = 40

To purchase 40 hot dogs and buns, you need to buy 5 packages of buns and 4 packages of hot dogs.

Answer:

Hotdog: 4 packages
Buns: 5 packages
5 0
2 years ago
Ava had $28.50 to spend at the farmer's market. After buying 3 pumpkins Ava, has $12 left. Which equation could you use to find
Alona [7]

Answer:

Step-by-step explanation:

Ava had $28.50 to spend at the farmer's market. She bought three pumpkins from the $28.50 that she had to spend.

After buying the three pumpkins, she had $12 left. This means that the amount that she spent on the pumpkin would be the total amount she had to spend - the amount she had left. This becomes

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This means that the cost pet pumpkin would be total amount that she spent on pumpkin / the number of pumpkin that she bought. It becomes

The equation that will be used to find the price of pumpkin,P would be

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Where n is the number of pumpkins

In this case

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8 0
2 years ago
Josiah works at an electronics store as a salesperson. Josiah earns a 2% commission on the total dollar amount of all phone sale
salantis [7]

Answer: the equations are

0.02x + 0.07y = 156

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Step-by-step explanation:

Let x represent the total dollar amount of phone sales that she makes.

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Josiah earns a 2% commission on the total dollar amount of all phone sales he makes, and earns a 7% commission on all computer sales. She earned a total of $156 in commission. This means that

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Josiah had $300 more in computer sales than in phone sales. This means that

y = 300 + x

4 0
2 years ago
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