Answer:
x = 11
Step-by-step explanation:
If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.

y=ax+b and y=cx+d, these lines are parallels if a = c
2) a) y = 3x+9, the two lines are y = 3x-4 and y = 3x+5
<span>b) y = -5x+6, the two lines are y = -5x+4 and y = -5x-2
</span>c) y = -7x+8, the two lines are y = -7x-9 and y = <span>-7x+7
same method with the d e and f
3) </span><span>y=ax+b and y=cx+d, these lines are perpendicular if a x c=-1
a) y=3x+7, the two lines are y= (-1/3 )x +2, and y= (-1/3)x-6 </span><span>
b) </span>y= -5/6x-2, the two lines are y= (6/5)x -2, and y= (6/5)x+13<span>
c) </span>y= - 5x+8, the two lines are y= (1/5)x - 32, and y= (<span>1/5 )x+11
the same method for d e and f
4) coordinates of the midpoints
a) (0, 0) and (5, 15)
the midpoints is ((0+5) / 2, (0+15)/2)= (5/2, 15/2)
b) (2, 4) and (6, -5)
</span><span>the midpoints is ((2+6) / 2, (4-5)/2)= (4, -1/2)
</span>c) (3,5) and (7,5)
<span>the midpoints is ((3+7) / 2, (5+5)/2)= (5, 5)
</span>the same method for d e and f
No, the sum of two negative numbers<span> can never be </span><span>positive</span>
Answer:
see below
Step-by-step explanation:
Each point moves to half its previous distance from P. It is probably easier to count grid squares on the graph than it is to do the math on the coordinates.
If you're doing the math on the coordinates, it is convenient to use P = (0, 0), then multiply each of the coordinates of A, B, and C by 1/2. For example:
A' = (1/2)A = (1/2)(8, 4) = (4, 2)
Answer:
4+2x=24
Step-by-step explanation:
4 more = 4+
twice a number = 2x (multiply the input by two)
is 24 = =24 (after inputing the right number into "x" it should equal 24.
Hoped this helped