Answer:
b. DC = 29 and DE = 44.5
Step-by-step explanation:
Given:
AB = 29
BD = 89
Required:
DC and DE
Solution:
✔️DC = AB (opposite sides of a parallelogram are equal)
Therefore,
DC = 29 (Substitution)
✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)
DE = ½(89)
DE = 44.5
Answer:
-4 5/12
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Answer:
X < -1
Step-by-step explanation:
4x - 5 + X < -10
5x < -5
× < -1
