Answer:
50°
Step-by-step explanation:
In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°
The amount of money that is saved by purchasing the projector at Office and beyond is $144.
<h3>How much money is saved?
</h3>
The first step is to determine the price of the projector at The Office spot.
Discounted price : (1 - 0.20) x $1200
0.80 x $1200 = $960
The second step is to determine the price of the projector at the Office and Beyond.
Discounted price : (1 - 0.15) x $960 = $816
Difference in price : 960 - 816 = $144
To learn more about how to calculate discounts, please check: brainly.com/question/26061308
#SPJ1
Answer:
The rectangular form of ![4[cos(150^{o})+i sin (150^{o})]](https://tex.z-dn.net/?f=4%5Bcos%28150%5E%7Bo%7D%29%2Bi%20sin%20%28150%5E%7Bo%7D%29%5D)
is 
.
Answer: 
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
