To get angle Y, you have to do 90 - 27 to get the other angle in the triangle and you get 63. Then you do 180 - (63+51) which is 66.
Angle Y = 66
19) 67x²+115x+48
20) (w+8)²
21) (d+11)²
22) (r+7)(r-7)
Explanation:
19) The area of the ceiling is given by (10x+9)(7x+7). Multiplying we have:
10x*7x+7*10x+9*7x+9*7
=70x²+70x+63x+63
=70x²+133x+63
The area of the skylight is given by (x+5)(3x+3). Multiplying we have:
x*3x+3*x+5*3x+5*3
=3x²+3x+15x+15
=3x²+18x+15
To find the remaining area of the ceiling we subtract:
(70x²+133x+63)-(3x²+18x+15)
=70x²+133x+63-3x²-18x-15
=67x²+115x+48
20) To factor, we want to find factors of c, 64, that sum to b, 16. 8*8=64 and 8+8=16; therefore we have:
(w+8)(w+8)
Since this is the same binomial twice, we write it as (w+8)²
21) Again we look for factors of c, 121, that sum to b, 22. 11*11=121 and 11+11=22, so:
(d+11)(d+11)
Since this is the same binomial twice, we have (d+11)²
22) Factors of -49 that sum to 0 (there is no r term, just r²): -7*7=-49 and -7+7=0, so:
(r-7)(r+7)
[ Answer ]
[ Explanation ]
Y = X + 2 is saying that Y, is the X dot + 2.
When the X dot is on 0, we have to add 2 to get to where the Y dot is. X (0) + 2 = 2. That is where the Y dot is.
X (2) + 2 = 4. 4 is where the Y dot is,
Once you keep adding the X dots to 2, you will get the Y dots. That is why the equation is Y = X + 2. In order to get to Y, you need to add 2 to the X dot.
![\boxed{[ \ Eclipsed \ ]}](https://tex.z-dn.net/?f=%5Cboxed%7B%5B%20%5C%20Eclipsed%20%5C%20%5D%7D)
Answer:
The value of Z should be 11.
Step-by-step explanation:
