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riadik2000 [5.3K]
3 years ago
11

From the following figure, how many ways can you show that lines l and m are parallel? At least 4 ways One way Two ways Three w

ays

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0

You can show it 4 ways by rotating the paper and if that is not an option, then the answer is 2.



Lynna [10]3 years ago
8 0

Answer:

The correct answer is: At least 4 ways.

At least 4 ways.

Step-by-step explanation:

There are 4 basic ways of showing that two lines are parallel.

  • Show that corresponding angles are equal.
  • Show that alternative interior angles are equal.
  • Show that consecutive interior angles are supplementary.

Show that consecutive exterior angles are supplementary.

Clearly from the figure we can show the first four properties easily.

Hence, the answer is:

At least 4 ways.

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Guided Practice
dmitriy555 [2]

Answer:

C.

discrete data

Step-by-step explanation:

The given function is:

                                                  C(p) = 0.95p

Where p represents the number of bolts purchased. We can calculate the cost based on the number of bolts purchased.

An important distinction between discrete and continuous data is that the continuous data is measured while discrete data is calculated or counted. Since we are obtaining the data by calculation, it must be discrete data.

The function can take on only specific values. For example for p=0, C is 0 and for p=1 the value of C is 0.95. The function cannot take any value in between 0 and 0.95. This is a characteristic of discrete function. A continuous function can take all possible values in an interval.  

Therefore, the answer to this question is: The Function models discrete data.

5 0
3 years ago
Read 2 more answers
The LCM of two numbers is 60. Their GCf is 6 and their difference is 18. What are the two numbers?
Aliun [14]
LCM(x,y)=60\\
GCF(x,y)=6\\
x-y=18\\\\
LCM(x,y)=\dfrac{|x\cdot y|}{GCD(x,y)}\\
60=\dfrac{|x\cdot y|}{6}\\
|x\cdot y|=360\\\\\\
|x\cdot y|=360\\
x-y=18\\\\
|x\cdot y|=360\\
x=18+y\\\\
|(18+y)\cdot y|=360\\
|18y+y^2|=360\\
18y+y^2=360 \vee 18y+y^2=-360\\
y^2+18y+81=441 \vee y^2+18y+81=-279\\
(y+9)^2=441 \vee (y+9)^2=-279\\
y+9=\sqrt{441} \vee y+9=-\sqrt{441}\\
y=21-9 \vee y=-21-9\\
y=12 \vee y=-30\\\\
x-12=18 \vee x-(-30)=18\\
x=30 \vee x=-12\\\\
\boxed{x=30, y=12 \vee x=-12, y=-30}
4 0
3 years ago
Read 2 more answers
She earns $3.10 for each hour she works and $2.30 for each bushel of apples she picks. Her goal is to earn at least $100 this we
nika2105 [10]

The inequality would be 3.1h + 2.3b ≥100

Step-by-step explanation:

Earning of Tammy for each hour of work= $3.1

Total hours she worked= h

Earning for picking each bushel of apple= $2.3

Total bushel she picks= b

Her goal = minimum of $100

Hence total earning from working= earning from each hour* no of hours worked

Total earning= 3.1h

Similarly, total earning from picking up apple bushels= earning from picking one bushel*no of bushels picked

Total earning= 2.3b

According to question total earning must be greater than $100

Hence, 3.1h + 2.3b ≥100

3 0
3 years ago
What is the distance from his house to school? ​
viva [34]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
BartSMP [9]

Answer:

B

Step-by-step explanation:

Obviously the population is increasing.

(3297.44-2568.05)/2568.05 = .284... = 28.4% increase

(4234-3297.44)/3297.44 = .284 ... = 28.4% increase

B is the answer

7 0
3 years ago
Read 2 more answers
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