Here is the answer :
people who like both the songs is 35 and
people who like only folk songs is 100.
Answer:
-2
Step-by-step explanation:
given 2 points on a line (x1, yx) and (x2,y2)
the formula for slope, m = (y2-y1) / (x2-x1)
in this case,
x1 = 4, y1 = 3, x2 = 2, y2 = 7
Hence,
m = (7-3) / (2-4) = 4 / -2 = -2
Answer:
The total number of pencils is 6
Step-by-step explanation:
According to the given scenario, the computation of the total number of pencils is as follows:
There are 18 students
And let us assume there is m mechanical pencils that put in each bag
also he put twice of the regular pencil
So if he put the 3 mechanical pencil
So, the total number of pencils is
= 3 × 2
= 6
As it twice of the regular pencil
hence, the total number of pencils is 6
Answer:
B
Step-by-step explanation:
Consider all options:
A. Transformation with the rule
is a reflection across the x-axis.
Reflection across the x-axis preserves the congruence.
B. Transformation with the rule
is a dilation with a scale factor of 
over the origin.
Dilation does not preserve the congruence as you get smaller figure.
C. Transformation with the rule
is a translation 6 units to the right and 4 units down.
Translation 6 units to the right and 4 units down preserves the congruence.
D. Transformation with the rule
is a clockwise rotation by 
angle over the origin.
Clockwise rotation by angle over the origin preserves the congruence.
Answer:
214°
Step-by-step explanation:
The arc subtending an angle at the centre are equal, that is
arc ED = 90° and
arc DF = 360° - (90 + 146)° = 360° - 236° = 124°
Thus
arc EDF = arc ED + arc DF = 90° + 124° = 214°
