Hello from MrBillDoesMath!
Answer:
20
Discussion:
Let (x1,y1) = (-8, -6) and (x2,y2) = (4,10). Per the distance formula,
Distance = sqrt ( (x1-x2)^2 + (y1-y2)^2 ) so
Distance = sqrt ( (-8-4)^2 + (-6-10)^2 )
= sqrt( (12)^2 + (-16)^2 )
= sqrt( 144 + 256 )
= sqrt(400)
= 20
Thank you,
MrB
Step-by-step explanation:
120 because angle a and c are the same
Answer: 6) x= 17 Same side interior angles sum to 180.
7) x= 3 Alternate exterior angles are equal.
8) x= 35 Corresponding angles are equal.
9) x= 12 Alternate interior angles are equal
Step-by-step explanation:
6) x= Same side interior angles sum to 180.
53+(8x-9)= 180
44+8x= 180
Subtract 44 from both sides
8x= 136
Divide both sides by 8
X = 17
7) x= Alternate exterior angles are equal. 15x+29= 26x-4
Subtract 15x from both sides
29= 11x-4
Add 4 to both sides
33= 11x
Divide both sides by 11
X=3
8) x= Corresponding angles are equal.
4x+7= 6x-63
Subtract 4x from both sides
7 = 2x -63
Add 63 to both sides
70= 2x
Divide both sides by 2
X= 35
9) x= Alternate interior angles are equal
9x+37= 14x-23
Subtract 9 x from both sides
37= 5x -23
Add 23 to both sides
60= 5x
Divide both sides by 5
12=x
<span>Let x be the number. By the given above, the relationship between the numbers and the newly-introduced variable is expressed as (2/5)(x) = 14. To determine the value of x, divide 14 by 2/5. This will give us the answer which is equal to 35. Hence, the answer to this item is 35. </span>
Answer:
See below in bold.
Step-by-step explanation:
Note that the numerators are the squares of 1, 2 3, 4 ...... and the denominators are the squares of 2, 3, 4, 5.....
The next 2 terms are 25/36 and 36/49.
The nth term is n^2 / (n + 1)^2 where n is the sequence number.
The 10th term is 10^2 / 11^2
= 100/121.
