Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
Answer:
x = 127°
Step-by-step explanation:
Let A, B and C be the three angles of a quadrilateral such that they are 55, 73, 105 respectively.
We know that, the sum of angles of a quadrilateral is equal to 360°. Let fourth angle be x.
55+73+105+x = 360
233+x=360
x = 360-233
x = 127°
So, the fourth angle is equal to 127°.
Answer:
3/3 = 1
Step-by-step explanation:
The slope formula is..
Pick two formulas. Let's do (-5, -2) and (-2, 1)
x1 y1 x2 y2
(-5, -2) (-2, 1)
= 
= 1
It'll work the same thing for (-2, 1) and (1,4)...
3/3 or 1 is a pattern between the points.
D! -48/8= -6 and -32/8= -4
