Answer:
The sum of three consecutive integers for 198 are <em>65, 66, and 67</em>
Definition of "INTEGERS"
1. a whole number; a number that is not a fraction.
2. a thing complete in itself.
Step-by-step explanation:
198 = x + x + 1 + <em>x + 2</em>
combine like numbers
198 = 3x + 3
subtract 3 from like numbers (in this case)
198 - 3 = 3x + 3 - 3
195 = 3x
divide by 3
195/3 = 3x/3
65 = x
x + 1 = 65 + 1 ---66
x + 2 = 65 +2 --67
F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
Answer:
140,120
Step-by-step explanation:
sum of angles in a quadrilateral =360
sum of the 1st two angles=60+40=100
360-100=260
the ratio of the remaining angles 7:6
therefore:
=140
for the second angle
260-140=120
