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2 answers:
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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:
<em>True </em>
Step-by-step explanation:
<em>Rate Of Change Of Functions </em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula
If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)
Now, we use the second and the third point (2,4) (3,9)
This difference in values of the slope is enough to state the function is non-linear
Answer: True
In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as , the exponent n can be "distributed" as:
.
In our case, the power, n=11; a=7 and b=4. Thus, the expression , can be written as
.
Thus, out of the given options, option A is the correct option.