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valentinak56 [21]
3 years ago
13

TRUE OR FALSE!!it is possible for a system of linear equations to have no solution

Mathematics
1 answer:
frez [133]3 years ago
4 0
True
if the lines are paralell, there is no intersection and therefor no solution

example
y=3x+4
and
y=3x+10
or

3x+2y=4 and
3x+2y=9





true
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С
mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
3 years ago
A recipe takes 90 minutes to make 25% of the time he spent preparing the ingredients how many minutes are spent preparing
gizmo_the_mogwai [7]

25% * 90 minutes is 22.5 22.5 minutes

5 0
4 years ago
Solve for x.* (4x + 7)° (6x + 3)° Sign​
Whitepunk [10]

24 x ^2 + 54 x + 21,

if you would like me to explain how to do it, I can in the comments.

3 0
4 years ago
Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg lesss strawberries in the morning tha in the afte
Tpy6a [65]

Answer:

3\frac{13}{20}=3.65 kg.

Step-by-step explanation:        

Let S be amount of strawberries picked in the afternoon.

We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are 2\frac{1}{4} kg.

To find the amount of strawberries picked by Sheldon in the afternoon we will add 2\frac{1}{4} and 1\frac{2}{5}  :

S= 2\frac{1}{4}+1\frac{2}{5}      

Upon converting our given mixed fractions into improper fraction we will get,

S= \frac{9}{4}+\frac{7}{5}

Now let us have a common denominator.

S=\frac{9*5}{4*5}+\frac{7*4}{5*4}

S=\frac{45}{20}+\frac{28}{20}

S=\frac{45+28}{20}

S=\frac{73}{20}  

S=3\frac{13}{20}  

S=3.65

Therefore, Sheldon picked 3\frac{13}{20}=3.65 kg of strawberries in the afternoon.  

3 0
3 years ago
A​ country's people consume 6.6 billion pounds of candy​ (excluding chewing​ gum) per year. Express this quantity in terms of po
german
<span>A​ country's people consume 6.6 billion pounds of candy​ (excluding chewing​ gum) per year. Population of the country is 303 million. Specific consumption, = ((6.6*10^9 pounds)/( year* 303*10^6 persons))*(year/ 12 months) =1.8 pounds/(months*persons)</span>
4 0
3 years ago
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