Represent these consecutive numbers (assuming that they are all integers):
x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.
Think of it this way: there are 10 consecutive numbers, and the last one is 10.
Working backwards, we get the sequence 10, 9, ... 3, 2, 1.
The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:
sum here = 10(1+10)/2 = 5(11) = 55 (answer)
Answer:
-15 and 9
Step-by-step explanation:
-3 - 12 = -15
-3 + 12 = 9
Answer: (0, -3/7)
Step-by-step explanation:
The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.
Answer:
10 units
Step-by-step explanation:
To find the length we can use the formula
d = sqrt( (y2-y1)^2 + (x2-x1)^2)
We have the two points (-5,5) and (3,-1)
d = sqrt( (-1-5)^2 + (3--5)^2)
d = sqrt( (-6)^2 + (3+5)^2)
d = sqrt( (-6)^2 + (8)^2)
d = sqrt( 36 + 64)
d = sqrt(100)
d = 10
Answer:
65°
Step-by-step explanation:
JM = JK (all sides of a rhombus are equal)
Angle JKM = 25° (isosceles triangle)
Angle JKL = 50° (consecutive angles of rhombus)
Angle MKL = 25° (angle subtraction)
Angle MLK = 130° (opposite angles of a rhombus)
Angle KLN = 50° (angles on a straight line)
Angle LKN = 40° (angle sum of triangle)
Angle MKN = 65° (angle addition)
