Answer:
The Length of AC is 17 units.
Step-by-step explanation:
Given:
BL = LC
AD = 24
AL = LD
AL = LD = half of AD = half of 24 = 12. { FJ bisect AD }
Also,
CD = 2 + LC
To Find:
AC = ?
Solution:
By Addition Property we have
LC + CD = LD ............{ L - C - D }
LC + ( 2 + LC ) = 12 ..........{substituting the given values}
∴ 2(LC) = 12 -2
∴ 2 (LC) = 10
∴ 
Again, By Addition Property we have
AC = AL + LC ................{ A - L - C }
AC =12 + 5
∴ AC = 17 units
∴ The Length of AC is 17 units.
20% of 500 is 100, so take 100 off 500, which is 400. So, $400.
Answer:
Value of equation = 26.25
Step-by-step explanation:
Given:
Equation given
-4a² + 3ab - (2a + 3b)
Given value of a = 1/4
Given value of b = -12
Find:
Value of equation
Computation:
-4a² + 3ab - (2a + 3b)
By putting value of a and b
-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]
-4(1/16) - (36/4) - [2/4 - 36]
-4/16 - 36/4 - [-142/4]
- 0.25 - 9 + 142/4
-0.25 - 9 + 35.5
Value of equation = 26.25
H(x) = x - 7
g(x) = x^2
(g * h)(x) = x^2 (x - 7)
(g * h)(5) = 5^2 (5 - 7)
Answer:
C. 47°
Step-by-step explanation:
The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...
227° -180° = 47°
The reference angle is 47°.
_____
In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.
227° modulo 180° = 47°
180° -47° = 133° . . . . supplement of 47°
min(47°, 133°) = 47° . . . the reference angle
