Answer:
D
Step-by-step explanation:
Let 
If angle A of the triangle is 1/3 as big as angle B, then 
. If angle C was bigger than angle B, then 
Consider all options:
A. 30°, 60°, 90°. Angles 30° and 90° can be anglea A and B, But 60°<90°. False.
B. 25°, 55°, 100°. Here are no angles such that one of them is three times greater. False
C. 20°, 60°, 110°. Since 20°+60°+110°>180°, these angles cannot be triangle's angles. False
D. 15°, 45°, 120°. If 
then 
and 
True
Step-1 : Multiply the coefficient of the first term by the constant 6 • -10 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
6n2 - 15n + 4n - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3n • (2n-5)
Add up the last 2 terms, pulling out common factors :
2 • (2n-5)
Step-5 : Add up the four terms of step 4 :
(3n+2) • (2n-5)
Which is the desired factorization
Final result :
(2n - 5) • (3n + 2)
Answer: 5%
Step-by-step explanation:
To find the sales tax, find the difference between before and after tax:
0.63 - 0.60 = 0.03
To find the percentage, divide the difference by the cost of the product:
0.03/0.60 = 0.05
Multiply by 100 to find percent sales tax:
0.05 x 100 = 5%
