Answer:
Ah yes rsm.
Anyways, AB is parallel to DE so 72= angle BDE. So BDE+2x+2x=180
72+4x=180
108=4x
x=27

From there we can see that because x equals both to a and b, it must be that a = b.
Answer:
Step-by-step explanation:
There are 3 possibilities for the graph as shown in the figure.
(a) having zero intersection
(b) having one intersection point (touching point)
(c) having two intersection points.
So, the greatest possible number of intersections for these graphs is 2 as shown in figure (c).
Answer:

Step-by-step explanation:
Subtract the right side of the given equation to put it into standard form:
4x² +8x -221 = 0
Then the coefficients used in the quadratic formula are ...
When these are filled into the form ...

the result is as shown above.
Answer:
a = 2
Step-by-step explanation:
To find the missing length we can use the Pythagorean theorem. Also, because it's a right triangle it makes it the perfect candidate!
The Pythagorean Theorem states:
a^2 + b^2 = c^2
Next, we substitute the letters with our given numbers (keep in mind that c is the hypotenuse which is the side facing the right angle)
a^2 + 2.1^2 = 2.9^2
Finally, we solve our equation (hint: use the calculator if needed)
a^2 = 4 (your answer is not final yet. You have to take the square root of both numbers)
a = 2 (Now that's the final answer!)