Answer:
m<EBD = 130 degrees
Step-by-step explanation:
We can say that Line EC is bisected by Line AD at point B. The angle CBD = 50 degrees is a supplement of the bisected line EC. With this in mind we can say:
EBD + CBD = 180
And we can solve for EBD:
EBD + CBD = 180
EBD + 50 = 180
EBD = 130
So the measure of angle EBD is 130 degrees.
Cheers.
Answer:
x^2 + y^2 = 4
Step-by-step explanation:
The center-radius form (formally called the standard form) of a circle is
(x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius.
So if we replace (h,k) with (0,0) since the center is the origin and r with 2 since the radius is 2 we get:
(x-0)^2+(y-0)^2=2^2
Let's simplify:
x^2 + y^2 = 4
Answer:
Q=91, S = 153
Step-by-step explanation:
QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.
Answer:
6/3
Step-by-step explanation:
our average speed can be calculated in a couple different ways
is this case lets use a weighted average of the two speeds to find the average speed.
we know that that we were only going half as fast on the way back so it would take us twice as long
so our average speed would be (1/3) * 8 + (2/3) * 4
8/3 + 8/3 = 16/3 mph
another way to look at it is
to say we covered a total distance of 4 miles (2 out and 2 back)
the first 2 miles took us 1/4 of an hour since we were going at a rate of the 8 mph
the next 2 miles took us 1/2 of an hour since we were going at a rate of 4 mph
so we covered a distance of 4 miles in a time of 3/4 of an hour
distance = speed * time
speed = distance/time
speed = 4 /(3/4)
speed = 16/3 so either way we come up with the same answer
