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arlik [135]
3 years ago
5

Is the line through points P(0, 7) and Q(2, 10) parallel to the line through points R(-2, 5) and S(0, 8)? Explain.

Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

  Yes because they have the same slope of 3/2

Step-by-step explanation:

The slope of PQ is ...

 (10 -7)/(2 -0) = 3/2

The slope of RS is ...

  (8 -5)/(0 -(-2)) = 3/2

The slopes are the same (3/2), so the lines are parallel.

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Lina20 [59]

Step 1: We make the assumption that 498 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=498$100%=498​.

Step 4: In the same vein, $x\%=4$x%=4​.

Step 5: This gives us a pair of simple equations:

$100\%=498(1)$100%=498(1)​.

$x\%=4(2)$x%=4(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{498}{4}$

100%

x%​=

498

4​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{4}{498}$

x%

100%​=

4

498​​

$\Rightarrow x=0.8\%$⇒x=0.8%​

Therefore, $4$4​ is $0.8\%$0.8%​ of $498$498​.

7 0
3 years ago
Evaluate the following expression
lina2011 [118]

Answer:

Hope this is correct

Step-by-step explanation:

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6 0
3 years ago
there arre 221 students on a fiel trip five students ride in a van the rest of the students fill the 6 buses enter an equation t
iren2701 [21]

According to the question statement, the total sum of students is 221, which includes the students that ride on bus and the students that ride in a van.

The students that ride in a van are five, the students that ride on bus are 6 times s which is the product of the number of buses and the number of students that are on each bus.

Write all this information into an equation, this way:

6s+5=221

Now, solve the equation for s to find the number of students that are on each bus.

\begin{gathered} 6s+5=221 \\ 6s=216 \\ s=\frac{216}{6} \\ s=36 \end{gathered}

There are 36 students on each bus.

3 0
1 year ago
maria began the school year with $200 in her school lunch account .The amount of money in the account has decreased linearly aft
Natasha2012 [34]

Answer:

each mount she spins 15$

Step-by-step explanation:

5 0
3 years ago
What does slope?<br> example of slope?
iren2701 [21]
Rise over run would be a thing to start with since you use graphs<span />
8 0
3 years ago
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