In a parallelogram the two angles on the same side need to equal 180 degrees. So in the picture angle F and angle G need to equal 180:
Add them together:
7x -5 + 3x-15 = 180
Simplify by combining like terms:
10x -20 = 180
Add 20 to both sides:
10x = 200
Divide both sides by 10:
X = 20
Now you know x, replace x in the angle for g and solve:
G= 7x-5 = 7(20) -5 = 140-5 = 135
G = 135 degrees.
In a parallelogram the top and bottom are the same length, so set the two to equal each other and solve for y:
3y = y + 8
Subtract y from both sides:
2y = 8
Divide both sides by 2:
Y = 4
Now replace y and solve for EF:
EF = 3y = 3(4) = 12
EF = 12
Answer:
(3,3), (3,6), (9,6)
Step-by-step explanation:
A triangle ABC has vertices at A(1, 1), B(1, 2), and C(3, 2).
The dilation by a scale factor of 3 within the origin as the center of dilation has the rule
Hence,
See attached diagram for details.
Rate of change is also called the slope. This function goes 4 up for every 6 to the right, slope 4/6 = 2/3. We choose the lines with slope greater than this.
Answer: b, c, d
Answer:
The answer to the first question is 3*4/5*3
Step-by-step explanation:
When you cross multiply, this is the answer that you would get.
Yes, f is continuous on [1,7] and differentiable of (1,7).f(x) - in x, [1,7], f is continuous and differentiable on (0, ∞ ), so f is continuous on [1, 7] and differentiable on (1, 7 ). f'(c) = (f(b) - f(a) / b - a) = 1/c = f(7) - f (1) / 7-1 = In 7/6 = c = 6/In 7, which is in (1,7). C is equal to 6 / In 7 which is also in (1,7)
