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lara31 [8.8K]
3 years ago
12

“Two lines in a plane always intersect in exactly one point.”

Mathematics
1 answer:
arsen [322]3 years ago
3 0
The answer is B.
Parallel lines as they are in the same plane but never meet.
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Check all of the ordered pairs that satisfy the equation below.y=2/5x
zvonat [6]

We are going to do this step by step:

Let's start with option A

A.

X = 25 and Y = 5/2

y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

B.

X = 14 , Y = 35

y=\frac{2}{5}\cdot14=\frac{28}{5}

In case, when X = 14, then Y = 28/5, which is different to 35

C.

X = 40 , Y = 24

y=\frac{2}{5}\cdot40=\frac{80}{5}=16

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

D.

X = 10 , Y=4

y=\frac{2}{5}\cdot10=\frac{20}{5}=4

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

E.

X = 50 , Y = 20

y=\frac{2}{5}\cdot50=\frac{100}{5}=20

In this case, the values of Y are also the same.

F.

X = 30 , Y = 12

y=\frac{2}{5}\cdot30=\frac{60}{5}=12

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

3 0
1 year ago
A caterer is planning a large dinner party for 1001 guests. Each table must seat an equal number of​ guests, more than 1 guest a
MArishka [77]

Answer:

The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.

For tables that seat 7, the caterer would need 11*13 = 143 tables.

For tables that seat 11, the caterer would need 7*13 = 91 tables.

Step-by-step explanation:

5 0
4 years ago
5+-4*1/3<br><br> Show work pls
polet [3.4K]
To solve this, we need to follow <em>PEMDAS </em>(Order of Operations)

P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

Following this order of math will get you your answer for any math problem.

First we'll do -4*1/3, which gets us -4/3. Then we'll add 5 to get 3 \frac{2}{3}

<em>:)</em>
4 0
3 years ago
What is the answer for number 10?
barxatty [35]
Answer is a to the question
4 0
3 years ago
Read 2 more answers
The map shows the location of a mall, library, and school in a city: Coordinate grid shown from negative 16 to positive 16 on x
matrenka [14]
16 because 8 is = to 15
3 0
3 years ago
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