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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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3 years ago
<1 and <2 are supplementary angles. m <1 is 4y+7, and m<2 is 9y+4. Find m<2.
Yuliya22 [10]

Okay, so supplementary angles = 180 degrees.

Starting equation : 4y + 7 + 9y + 4 = 180

Combine like terms : 13y + 11 = 180

Subtract 11 from both sides : 13y = 169

Divide 13 from both sides : y = 13

Insert y value into original m<2 equation : 9(13) + 4

Solve : 121 degrees


If you want to check your work, all you have to do is insert y value into original m<1 equation and then add both m<1 and m<2. If they equal 180, your answer is correct.

4(13) + 7 = 59

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4 0
3 years ago
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A fair die is tossed 5 times. Let <img src="https://tex.z-dn.net/?f=%5Cdfrac%7Bm%7D%7Bn%7D" id="TexFormula1" title="\dfrac{m}{n}
Ray Of Light [21]

Answer:

m = 1

Step-by-step explanation:

We can suppose that the number we are looking for is for example 5.

(we can do so because the probability is the same for each number - it'sna fair dice)

For the first toss the probability we have 5 is 1/6 (we have 6 numbers on the dice and number 5 is just one of the possible 6 outcomes).

For the second toss the probability we have 5 is again 1/6.

For the rest of 3 tosses we don'tcare what number we will get( we have our two consecutive 5s), so all of the outcomes for the rest of 3 tosses are good for us (probability is 6/6 = 1)

Threfore, the probability to get two consecutive 5s is 1/6 * 1/6 * 1 * 1 * 1 = 1/36.

We can see that m = 1.

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3 years ago
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stealth61 [152]
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