-8 has a multiplicity of 3
3 has a multiplicity of 1
Answer:
x = 22
Step-by-step explanation:
(x+1)+(3x+1) = 4x+2
4x+2=90°
Solve for x:
4 x + 2 = 90
Subtract 2 from both sides:
4 x + (2 - 2) = 90 - 2
2 - 2 = 0:
4 x = 90 - 2
90 - 2 = 88:
4 x = 88
Divide both sides of 4 x = 88 by 4:
(4 x)/4 = 88/4
4/4 = 1:
x = 88/4
The gcd of 88 and 4 is 4, so 88/4 = (4×22)/(4×1) = 4/4×22 = 22:
Answer: x = 22
9514 1404 393
Answer:
Step-by-step explanation:
If Anna's age is represented by A, then 12 more than Anna's age will be ...
12 + A
Jason's age is said to be 12 more than Anna's age, so ...
J = 12 + A
__
The sum of their ages will be J + A. That is said to be 50, so ...
J + A = 50
_____
These equations can be solved by using the first to substitute for J in the second.
(12 +A) +A = 50
2A = 38 . . . . . . . . subtract 12
A = 19 . . . . . . . . . . divide by 2
J = 12 +19 = 31 . . . find Jason's age
Jason is 31; Anna is 19.
Answer:
If line EF was dilated by a scale of 1/2 from the origin to get line E'F', then if line E'F' is dilated by a scale of 2 from the origin, EF is obtained. Also, the length of EF is double than the length of E'F'.
Dilation by a scale of 2 from the origin transforms point (x,y) into (2*x, 2*y)
E'(1,0) -> E(2,0)
F'(1, 3) ->F(2, 6)
length of E'F': 3
length of EF: 6