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balu736 [363]
4 years ago
9

Triangle congruence

Mathematics
1 answer:
skad [1K]4 years ago
5 0

Answer:

Please provide more details.

Step-by-step explanation:

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9/20
NISA [10]

For this case we must find the solution of the following quadratic equation:

x ^ 2 + 5x + 7 = 0

Where:

a = 1\\b = 5\\c = 7

Then, the solution is given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting the values:

x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}

By definition we have:i ^ 2 = -1

x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0
4 years ago
Middle School: Math (10 Points)
sasho [114]
1) Our marbles will be blue, red, and green. You need two fractions that can be multiplied together to make 1/6. There are two sets of numbers that can be multiplied to make 6: 1 and 6, and 2 and 3. If you give the marbles a 1/1 chance of being picked, then there's no way that a 1/6 chance can be present So we need to use a 1/3 and a 1/2 chance. 2 isn't a factor of 6, but 3 is. So we need the 1/3 chance to become apparent first. Therefore, 3 of the marbles will need to be one colour, to make a 1/3 chance of picking them out of the 9. So let's say 3 of the marbles are green. So now you have 8 marbles left, and you need a 1/2 chance of picking another colour. 8/2 = 4, so 4 of the marbles must be another colour, to make a 1/2 chance of picking them. So let's say 4 of the marbles are blue. We know 3 are green and 4 are blue, 3 + 4 is 7, so the last 2 must be red.
The problem could look like this:

A bag contains 4 blue marbles, 2 red marbles, and 3 green marbles. What are the chances she will pick 1 blue and 1 green marble?

You should note that picking the blue first, then the green, will make no difference to the overall probability, it's still 1/6. Don't worry, I checked

2) a - 2%  as a probability is 2/100, or 1/50. The chance of two pudding cups, as the two aren't related, both being defective in the same packet are therefore 1/50 * 1/50, or 1/2500.  

b - 1,000,000/2500 = 400
400 packages are defective each year
5 0
4 years ago
In a square, one pair of opposite sides was made 50% longer and the other pair of opposite sides was made 50% shorter
omeli [17]
Sorry, maybe is too late for you, But the answer is:
For example: 4 x 4=16cm² if <span> one pair of opposite sides was made 50% longer and the other pair of opposite sides was made 50% shorter
It became: 6 x 2=12cm</span>²
12/16=0.75
So, the 75% <span>of the square’s area is the area of the new rectangle.</span>
8 0
3 years ago
Find the balance in the account after the given period.
Elina [12.6K]
FW = PW(1+i)^N
= $6900(1+0.039)^1

solve for FW
(sorry don't have a calculator on me rn)
7 0
3 years ago
Solve x2 – 14x 31 = 63 for x
madreJ [45]
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                    <span> x^2-14*x+31-(63)=0                     </span><span>x = 16
</span>
4 0
4 years ago
Read 2 more answers
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