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Ugo [173]
2 years ago
6

What is the solution to a system whose equations are parallel?

Mathematics
1 answer:
Rina8888 [55]2 years ago
7 0
One solution- if the graphs of the equations intersect, then there is one solution that is true for both solutions.

No solutions- If the graphs of the equation do not intersect (example-if they are parallel) there are no solutions that there are true for both equations.
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Use the triangle shown to find m∠Q and m∠S.
Elodia [21]
<h2><u>Hope this helps :)</u></h2>

Step-by-step Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a .

So, measure of the other angle is 2a .

If the sum of the measures of two angles is 180° , then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a , divide both sides of the equation by 3 .

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120° .

Step-by-step Example 2:

Find m∠P  and  m∠Q if ∠P  and  ∠Q are supplementary, m∠P=2x+15 , and m∠Q=5x−38 .

The sum of the measures of two supplementary angles is 180° .

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q .

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both the sides. We get:

7x=203°

Divide both the sides by 7 .

7x7=203°7

Simplify.

x=29°

To find m∠P , substitute 29 for x in 2x+15 .

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73° .

To find m∠Q , substitute 29 for x in 5x−38 .

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107° .

6 0
1 year ago
Is this correct???????????!!!!please gelppp
omeli [17]

Answer:

Step-by-step explanation: it looks right to me but who knows

7 0
2 years ago
Read 2 more answers
taci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirts from the ev
Oksi-84 [34.3K]
She can purchase 3 t-shirt :)
4 0
2 years ago
Read 2 more answers
Draw two different shapes that each have an area of 4 square units
Alekssandra [29.7K]

Answer:

You can have a cube with sides that mesure 2cmx2cm or a rectangle 1cmx4cm.

Step-by-step explanation:

8 0
2 years ago
In 2007, there were 31 laptops
abruzzese [7]

Answer:

l=31+20(y-2007)

where l is the number of laptops, and y is the year.

in 2017: l=231

Step-by-step explanation:

I will define the variable x as the number of years that passed since 2007.

Since the school buys 20 lapts each year, after a number x of years, the school will have

20*x more laptops.

and thus, since the school starts with 31 laptops, the equation to model this situation is

l=31+20*x

where l is the number of laptops.

since x is the number of years that have passed since 2007, it can be represented like this:

x=y-2007

where y can be any year, so the equation to model the situation using the year:

l=31+20(y-2007)

and this way we can find the number of laptos at the end of 2017:

y=2017

and

l=31+20(y-2007)

l=31+20(2017-2007)\\l=31+20(10)\\l=31+200\\l=231

3 0
3 years ago
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