Answer:
Given:
,
,
,
formed by two intersecting segments.
In the given figure;
Linear pair states that a pair adjacent angle formed when two lines intersect.
Then by definition of linear pairs,
and
forms a linear pair
Also,
and
forms a linear pair.
Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).
Then by linear pair postulates;

and

Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.
then by substitution property of equality:

Addition property of equality states that:
if x =y, then x + z = y+ z
By addition property of equality:
hence proved!
Hello!
We separate this into three sections
we are looking for a graph that has a line where x is greater than -3 and less than -2 while the circles not shaded since it does have the or equal to sign
The graphs that have this is the first and the third
Next we can look for the graph that has x greater than or equal to -2 and less than 3 with the one at -2 shaded but the one at 3 not
The graph that follows this is the third graph
The answer is the third one
Hope this helps!
You can see answer at photo! If you have any questions, write me in Telegram @ef1m0ff
Answer:
C= 5, -5
Step-by-step explanation:
Answer:
D.
inches.
Step-by-step explanation:
We have been given that the circle with center O has a minor arc BSA with a length of
inches. The central angle is 40°.
To find the circumference of circle we will use formula:
, where
= measure of 360 degrees in radians and
= circumference of circle.
Let us convert measure of central angle into radians.
Upon substituting our given value in the formula we will get,

Cross multiplying we will get,

Hence, the radius of our circle is 27/4 inches.
Since the circumference of circle is
. Upon substituting
we will get,

Therefore, circumference of our given circle will be
inches and option D is the correct choice.