For each of the problems, twice the angle formed by the chords is equal to half the sum of the angles of the arcs.
So, for the first problem, we have
, so
.
For the second,
, so
.
For the last problem,
, so
.
Feel free to comment below if you have any questions!
Answer:
Step-by-step explanation:
To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.
is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.
We can use Pythagorean's Theorem to find the hypotenuse (let represent the length of the hypotenuse):
Thus, we know the adjacent is 10, and the hypotenuse is . This means .
Hope this helps!
Answer:
4
Step-by-step explanation:
5 is an integer as well as a whole number. A whole number is one which has no fraction with it. And clearly, 5 is a positive integer. Hence, option 4 is correct that is 5 is a integer and a whole
Answer:
y=2x-5
Step-by-step explanation:
The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.
To find b use the equation . So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.
So, plug in the values to get the final equation y=2x-5.