Polygon FGHIJ is the result of the rotation of ABCDE.
A = F ⇒ 117°
B = G ⇒ 90°
C = H ⇒ 127°
D = I ⇒ 90°
E = J ⇒ 117°
The measure of angle BCD remains the same because the rotation involves the whole polygon. Thus, it is still 127°
Answer:
3789 pounds of carbon dioxide
multiply 151.56 by 25
Homework = 12.5% of 24 hours = 0.125 x 24 = 3 hours
Sam spent <u>3 hours</u> on homework.
Proportion of the time spent on homework = 3/24 = 1/8
Answer: Same spent 1/8 of his day on homework.
Line 1:
Expanding the vertex form, we have
x² + 2·1.5x + 1.5² - 0.25 = x² +3x +2
Expanding the factored form, we have
x² +(1+2)x +1·2 = x² +3x +2
Comparing these to x² +3x +2, we find ...
• the three expressions are equivalent on Line 1
Line 2:
Expanding the vertex form, we have
x² +2·2.5x +2.5² +6.25 = x² +5x +12.5
Expanding the factored form, we have
x² +(2+3)x +2·3 = x² +5x +6
Comparing these to x² +5x +6, we find ...
• the three expressions are NOT equivalent on Line 2
The appropriate choice is
Line 1 only
D = number of dogs washed
c = number of cats washed
d = (60 - 5c) / 7.50
The 7.50 should be underneath the brackets
