Answer: Choice 1) The sum of the angles A and B are supplementary to angle C
Why is this the answer? Because we'll use facts 2 through 4 to help prove the triangles similar. If fact 2 is true, then fact 3 leads to helping set up the congruent corresponding angles (either A = D or C = E). Fact 4 is true because all angles are congruent to themselves, and this fact is the other angle pair we need to prove the triangles similar.
We don't use fact 1 even though it's a true statement. The fact that A+B+C = 180 isn't really useful to compare across two triangles.
Answer: $6.50
If the number is below 5 (so 1-4) you round down. If its above 5 (5-9), you round up.
E.G. 78.89
Round this to the nearest 10th, you'll get 78.90
Answer:
Step-by-step explanation:
These are not the exact numbers but just plug in the numbers of yours Because we know that q is a perpendicular line to p we know that its slope is the negative reciprocal of the slope of p. So its slope is 7/10. Now we just need to find its y-intercept. To do that we write what we know about line q. So we know that the equation for line q looks like:
y = (7/10)x + b
We also know that q passes through the point (8,7), so we now plug that in and solve for b:
7 = (7/10)(8) + b
7 - (56/10) = b
(70/10) - (56/10) = b
14/10 = 7/5 = b
So now that we have solved for the y-intercept, we know that the equation for line q is:
y = (7/10)x + 7/5
Answer:
no real solution is the answer
If you have to list your extraneous solutions somewhere, that would be x=0.
Step-by-step explanation:
Cool thing here is the radical, the thing with the square root, is already isolate.
So we need to square both sides as a first step. (Whenever you raise both sides to even power, you must definitely check your solutions as some might not actually be solutions to the original equation)
So upon squaring both sides I get:
x^4+16=(x^2-4)^2
Now I will write (x^2-4)^2 as (x^2-4)(x^2-4) and foil it! This gives me:
x^4+16=x^4-8x^2+16
Subtract x^4 and 16 on both sides:
0=-8x^2
Divide both sides by -8
0=x^2
Therefore x=0.
0 isn't actually a solution though because when you plug it in you get 4=-4 which is not true.
