Find the circumference and the area of a circle with diameter 2 yd . Use the value for 3.14 for , and do not round your answers.
1 answer:
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Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to .
Let the exterior angle be represented by , and the three interior angles of the triangle be represented by
,
and
.
Assume that the vertex angle is the linear pair to the exterior angle
.
i.e +
=
(sum of angles on a straight line)
Thus,
i. +
=
(sum of two opposite interior angles is equal to an exterior angle)
⇒ =
-
Also,
=
-
But,
+
+
=
(sum of angles in a triangle)
⇒ =
- (
+
)
and
+
=
-
ii. +
+
=
(sum of angles in a triangle)
=
- (
+
)
Also,
+
=
⇒ =
-
=
-
Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula . Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is .
2) Next, use the point-slope formula to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the
,
and
into the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form: