<span>9d + d + 2d - 4 = 6d
Add d to 9d
10d+2d-4=6d
Add 2d to 10d
12d-4=6d
Subtract 12d from both sides
-4=-6d
Divide -6 on both sides
Final Answer: 4/6 or 2/3 *Both answers are equivalent to each other.</span>
Answer:
Center: (-3,-2)
Radius: √6
The graph is attached.
Step-by-step explanation:
The equation of the circle has the form:

Where (h,k) is the point of the center of the circle and r is the radius of the circle.
The equation given in the problem is

Therefore:
h=-3
k=-2
The center is at (-3,-2)
And the radius is:

Then, you can graph it has you can see in the image attached.
A, rotated then reflected
Answer:
62 degrees
Step-by-step explanation:
First, it is important to note that all three angles in a triangle add up to be 180 degrees, and if you draw a straight line extending off the side of a triangle, the outside angle and the inside angle are supplementary (they add to be 180 degrees). So,(3x+3)+(2x+4)-180=measure angle F, and 180-(7x-5)=measure angle F according to the rules respectively. Since both of these equations are equal (they both equal the measure of angle F) we can set them equal to each other to find the value of x=> 180-(7x-5)=(3x+3)+(2x+4)-180=> 180-7x-5=3x+3+2x+4-180. Now combine like terms=>175-7x=5x-173. Now, add 7x to both sides and add 173 to both sides to get the variables on one side of the equation=> 175+173-7x+7x=5x+7x-173+173 (the 7x and -7x on the left side and the 173 and -173 on the right side cancel out) =>348=12x. Divide both sides by twelve to find x=> 29=x. Now, plug 29 into what is given for angle FDE=> 2(29)+4=
58+4=
62 degrees
Answer:
44 cm^2
Step-by-step explanation:
You can separate this figure into three rectangles. The area of the first rectangle is 20. The area of the second rectangle is 6. And the area of the third is 18. If you add those all together you get 44 cm^2