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algol13
3 years ago
6

MATHEMATICAL CONNECTIONS What value of x makes the quadrilateral a parallelogram?

Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

x = 5 (check the diagram included)

Step-by-step explanation:

The question is incomplete, I have included a diagram to aid the understanding of the question

Parallelograms are quadrilaterals which have their opposite sides parallel and equal. This also means that the opposite angles in a parallelogram are equal

From the attached figure, we have:

|FG| = 3x + 10, |HE| = 7x - 30

To calculate for the value of x that makes the quadrilateral a parallelogram, we have:

Remember the opposite sides of a parallelogram are equal

3x + 10 = 7x - 30

3x - 7x = 10 - 30

-4x = -20

x = 20 ÷ 4

x = <u>5</u>

x = 5 makes the quadrilateral a parallelogram

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3 years ago
Two bowlers bowl the following number of strikes in 9 games
ehidna [41]
First, let's calculate the mean and the mean absolute deviation of the first bowler.

FIRST BOWLER: <span>8,5,5,6,8,7,4,7,6
Mean = (Sum of all data)/(Number of data points) = (8+5+5+6+8+7+4+7+6)/9
<em>Mean = 6.222</em>
Mean absolute deviation or MAD = [</span>∑(|Data Point - Mean|]/Number of Data Points
MAD = [|8 - 6.222| + |5 - 6.222| + |5 - 6.222| + |6 - 6.222| + |8 - 6.222| + |7 - 6.222| + |4 - 6.222| + |7 - 6.222| + |6 - 6.222|]/9
<em>MAD = 1.136</em>

SECOND BOWLER: <span>10,6,8,8,5,5,6,8,9
</span>Mean = (Sum of all data)/(Number of data points) = (<span>10+6+8+8+5+5+6+8+9</span>)/9
<em>Mean = 7.222</em>
Mean absolute deviation or MAD = [∑(|Data Point - Mean|]/Number of Data Points
MAD = [|10 - 7.222| + |6 - 7.222| + |8 - 7.222| + |8 - 7.222| + |5 - 7.222| + |5 - 7.222| + |6 - 7.222| + |8 - 7.222| + |9 - 7.222|]/9
<em>MAD = 1.531
</em>

The mean absolute deviation represents the average distance of each data to the mean. Thus, the lesser the value of the MAD is, the more consistent is the data to the mean. <em>B</em><em>etween the two, the first bowler is more consistent.</em>

8 0
3 years ago
88511, 16351, ?, 10251 missing number in sequence
Mrac [35]

Step-by-step explanation:

this is really complicated and tricky.

to create the next number, you have to add the first 2 digits of the previous number, then subtract the 3rd from the 2nd digit, multiply the 3rd and the 4th digit, and finally divide the 4th digit by the 5th.

so,

8+8 = 16

8-5 = 3

5×1 = 5

1/1 = 1

giving 16351 as next number.

the missing number we get then

1+6 = 7

6-3 = 3

3×5 = 15

5/1 = 5

giving 73155 as the next (missing) number.

control :

7+3 = 10

3-1 = 2

1×5 = 5

5/5 = 1

gives us 10251 as next number - correct.

but then it will end

1+0 = 1

0-2 = -2 ???? take the absolute value ?

2×5 = 10

5/1 = 5

8 0
2 years ago
Really confused and am on final attempt!
Flura [38]

Answer:

C

Step-by-step explanation:

the legs of a 30-60-90 triangle are 1 and \sqrt{3}, while the hypotenuse is 2.

the ratio of the legs is therefore 1 : \sqrt{3} → C



3 0
4 years ago
Omg!! Please help!! Thank you
nordsb [41]

Answer:

the first one since it shows all the lines being equal and therefore making the angles equal

8 0
3 years ago
Read 2 more answers
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