Answer:
Step-by-step explanation:
∠ABC = ∠BCD { AB // CD; BC TRAVERSAL, alternate angles are equal}
∠ABC = 20
∠BCA = ∠BAC {angles opposite to equal sides are equal}
∠BCA = ∠BAC = x
x + x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
Answer:

Explanation:
Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial
Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it
Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial
We set x-2 to zero:

Now, we substitute 2 into the polynomial as follows:

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial
0% because the deck only has 9s, 10s, jacks, queens, kings, and aces. There is no others cards accept those. So you cannot get a 4 of hearts because it’s not in the deck.
37=blue+red+green
37-red-blue=green
37-13=10=green
14=green
green:red=
14:10=
7:5
Answer:
The area is:
, option b.
Step-by-step explanation:
Rectangular area:
The area of a rectangular space is given bt the multiplication of its measures.
Area of the roof:
Dimensions of 10x + 8 and 8x + 6. So

Area of the skylight:
Dimensions of x + 5 and 3x + 4. So

What is the area of the remaining roof after the skylight is built?
Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

The area is:
, option b.