Answer:
B = 160°
Step-by-step explanation:
This is how I solved it (I hope the explanation isn't too confusing):
Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC
Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).
So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.
There are 180° in a triangle, so add the two interior angles you know:
30° + 80° = 110°
Then subtract 110° from 180° to find the final interior angle which is:
180° - 110° = 70°.
To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:
90° + 70° = 160°
A) There was no change in the number of students on honor roll from one year to the next. This is noticeable because 200/1000 = .2 just as 20%/100% = .2 or 20/100 = .2. So there never was a change!
Answer:
$85
Step-by-step explanation:
$25 + $80 + $65=$180
$180 - $80 -$15 = 85
So balance would be $85
An ellipse is divided into two axes, the longer axis is the
major axis and the shorter axis is the minor axis. The length of the major axis
of an ellipse is equal to the sum of two distance: the distance between any
point on the ellipse and one on focus and the distance between the same point
and the other focus. The focus is the point that helps define an ellipse and
every ellipse has two foci. These two distance are also called the red line
segment and blue line segment. Given 6 for red line segment and 4 for blue line
segment therefore, the length of the major axis of the ellipse is 10.
