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son4ous [18]
3 years ago
9

Given that JKLM is a parallelogram, solve for x.

Mathematics
2 answers:
Olegator [25]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

In a parallelogram, the opposite sides are equal/congruent. This means that KL and JM are equivalent.

  • In other words, 7x - 2 = 12x - 22, and we have to solve for x.

Step 1: Subtract 12x from both sides.

  • 7x-2-12x=12x-22-12x
  • -5x-2=-22

Step 2: Add 2 to both sides.

  • -5x-2+2=-22+2
  • -5x=-20

Step 3: Divide both sides by -5.

  • -5x/-5 = -20/-5
  • x = 4

Therefore, x = 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Ilya [14]3 years ago
3 0
X = 4

set both sides equal to each other:

12x - 22 = 7x - 2

5x - 22 = -2

5x = 20

x = 4

hope that helps
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Answer:

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square both sides:

16(64x^2 - 96x + 36) = 25( 64x^2 - 112x + 49)

1600x^2 - 1024x^2 - 2800x + 1536x + 1225 - 576 = 0

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3 years ago
MIDDLE SCHOOL MATH- 4 QUESTIONS
Contact [7]

Answer:

( I am assuming that these are all fractions)

1. 14 \frac{4}{7}

2.  8

3. \frac{4}{15}

4. 5 \frac{8}{11}

Step-by-step explanation:

1. First you have to convert 15 into a fraction but it must have the same denominator causing the equation to look like 105/7 - 3/7= 102/7. But you cannot just leave the fraction like that it must be simplified 14 \frac{4}{7}

2. Three-fifths of an hour is 36 minutes. You would next multiply 5 by 60 which would the hours into minutes 5 x 60 = 300. You would then divide 300 by 36 which would give you 8.3333333333, which I just simplified it to 8

3. In order for you to multiply a fraction you would first multiply the top then the bottom. 12 x 6= 72, 15 x 18= 270. The fraction would look like 72/270 which is simplified to \frac{4}{15} .

4. First I changed the fractions into improper fractions causing the fraction to look like 36/8 x 14/11 (I got these answers by 8 by 4 then adding 4, then for the next fraction I multiplied 11 by 1 then added 3.) 36 x 14= 1224, 11 x 8= 88 the fraction would look like 1,224/88 you would simplify to 5 \frac{8}{11}

Hope this helps

Please tell me if I made any mistakes I enjoy learning from them.

6 0
3 years ago
PLEASE HELP! all u have to do is determine if it is positive or negative!
iris [78.8K]
The answer is negative
8 0
3 years ago
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4 0
3 years ago
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Light bulbs manufactured at a certain factory have a 3% probability of being defective. what is the probability that 5 out of a
lbvjy [14]

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.

<h3>What is Binomial distribution?</h3>

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).

Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵

P(x=5) = 0.001617

Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.

Learn more about Binomial Distribution:

brainly.com/question/14565246

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