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german
4 years ago
15

What is m∠LNM? m∠LNM = °72

Mathematics
1 answer:
spin [16.1K]4 years ago
3 0

Answer:

72 degrees

Step-by-step explanation:

Congruent supplements Theorem.

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Sarah and Annie brought some quarters to an arcade. Sarah has 28 more quarters than Annie.
Marina CMI [18]

Answer:

37

Step-by-step explanation:

m=28+n

36=28+n

n=36-28

n=8

Annie quarters:

29+n

29+8

37

5 0
3 years ago
Read 2 more answers
A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project
sweet-ann [11.9K]

Answer:

\text{Domain of x}=[1,\infty), x \in Z^+

Step-by-step explanation:

Given the function: f(x)=\dfrac{280}{x},$ where:

f(x) =number of days it would take to complete the project

x =number of full-time workers.

\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

\text{Domain of x}=[1,\infty), x \in Z^+

7 0
3 years ago
Gavin walks at a rate of 3 miles per hour. at this rate, how far will he walk in 4 hours?
Tomtit [17]
12 miles if you are walking 3 miles every hour then after 4 hours you would have walked 12 miles because 3 milesx4 hours=12
5 0
3 years ago
Read 2 more answers
Philip buys a pack of markers for $1.29, a pencil for $0.84, and an eraser for $0.79. How much does he spend altogether
Tom [10]

Answer:

Not sure what you are looking for but... I believe the answer is $2.92

Step-by-step explanation:

7 0
3 years ago
Help me please!!??????
makvit [3.9K]

Answer:

Yes since the triangles are congruent by ASA. See proofs and explanation below.

Step-by-step explanation:

The cardio and free weights will have the same amount of space because triangles ABE and BCE are congruent by ASA or Angle-Side-Angle. We know that angle AEB and angle DEC are congruent since they are vertical angles. This is the first angle is ASA. We also know that the two triangles must be congruent because line segment DE is congruent to line segment EB since E is the midpoint of DB. This is the side in ASA. Lastly, the other angle of ASA can be proven because AB and DC are parallel lines. SInce they are parallel they have special angle relationships when the transversal DB intersects them. Since angle ABE and angle EDC are alternate interior angles, they are congruent. This means the triangles must be congruent. When triangles are congruent, then each triangle is the same shape and size. This means their area is the same too. Therefore, cardio and free weights have the same amount of space.

To write a two columns proof, start with given information, add new information, and then conclude.

Statement                                            Reason

1. AB ║CD                                                 Given

2. E midpoint of DB                                  Given

3. DE ≅ EB                                                 Definition of Midpoint

4.  ∠ABE≅∠EDC                                        Alternate Interior Angles

5.  ∠AEB ≅ ∠DEC                                      Vertical Angle Theorem

6. ΔABE≅ΔCDE                                          ASA


Use the angle relationships above and listed in number 4 to solve for the angle measures.

7 0
3 years ago
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