Answer:
8.64
Step-by-step explanation:
12% = 0.12
72(0.12) = 8.64
m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°
Solution:
Triangle sum property:
Sum of the angles of the triangle = 180°
In ΔDHG,
m∠HDG + 120° + 32° = 180°
m∠HDG + 152° = 180°
m∠HDG = 180° – 152°
m∠HDG = 28°
In ΔGEF,
m∠EFG + 17° + 113° = 180°
m∠EFG + 130° = 180°
m∠EFG = 180° – 130°
m∠EFG = 50°
Sum of the adjacent angles in a straight line is 180°
m∠DEG + m∠DEF = 180°
m∠DEG + 113° = 180°
m∠DEG = 180° – 113°
m∠DEG = 67°
In ΔDGE,
m∠DGE + 48° + 67° = 180°
m∠DGE + 115° = 180°
m∠DGE = 180° – 115°
m∠DGE = 65°
Hence m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°.
Answer: Option a.
Step-by-step explanation:
The parent function is the simplest form of the function.
Therefore, if you have the parent function given in the problem:
and you make f(x)+3, then the function will be translated up 3 units.
Then, you obtain:
Therefore the answer is the option a.
Answer:
commutative property:
A + B = B + A
So we have
3 + (5 + 7) = (5 + 7) + 3
Now distributive means that:
A + (B + C) = (A + B) + C
So (5 + 7) + 3 = 5 + (7 + 3)
now the equation is easier to solve, because 7 + 3 = 10
5 + (7 + 3) = 5 + 10 = 15
To solve, set an equation:
472=0.8x
Divide both sides by 0.8
472/0.8=0.8x/0.8
x=590
Answer: The original price was $590
