Find the measure of d.
1 answer:
Answer:
Step-by-step explanation:
The given figure above is an inscribed quadrilateral with all four vertices lying on the given circle, thereby forming chords each.
Therefore, the opposite angles of the above quadrilateral are supplementary.
This means:
, and
Find the measure of d:
Subtract 57 from both sides.
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Let's first get the representation of tan
We also need to understand how to convert radians to degrees
For question 1
since tan > 1
It must be in either first quadrant or third quadrant as shown in the diagram above
Answer:
1:
2:
3:
Step-by-step explanation:
Question 1: When lines are parallel, that means they're slope is the same and there y-intercept is different. So the first step is to calculate the slope of BC. If you look at BC you'll notice it goes down by 2 and goes forward by 2 so the slope is -2/2 or -1. This completes one part of the slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. The y-intercept will be calculated using the point A. since the equation passes through point A
-1 = (-2)(-1) + b
-1 = 2 + b
-3 = b
y=-1x-3
Question 2: Same concept here, if you look at AC, you'll see it "rises" by 4 and "runs" by 5, thus the slope is 4/5. Since it passes through B we'll use that to find the y-intercept
5 = (4/5)(1) + b
5 = 4/5 + b
b = 4.2
Question 3: It "rises" by 6 and "runs" by 3, thus the slope is 6/3 which is 2.
Plug in known values
3=(3)(2) + b
3 = 6 + b
-3 = b