Answer:
Your table is filled in below.
Step-by-step explanation:
The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".
Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*
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* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.
Given:
The data points are:
(1, 0), (2, 3), (3,1), (4,4), (5,5)
To find:
The equation of best fit line in the form of and then find the value of b.
Solution:
The general form of best fit line is:
...(i)
Where, m is the slope of best fit line and b is the y-intercept of the line.
Using the graphing calculator, we get the equation for the best fit line and the equation is
...(ii)
On comparing (i) and (ii), we get
Therefore, the value of b is equal to -0.7.
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,
+
=
⇒ =
-
=
-