We know that:
∠ABC=∠BCA=xº
∠BDC=∠BCD=xº
1) we have to find the angle ∠DBC:
∠BDC+∠BCD+∠DBC=180º
xº+xº+∠DBC=180º
2xº+∠DBC=180º
∠DBC=180º-2xº
2) we have to find the angle ∠ABD:
∠ABD=∠ABC-∠DBC
∠ABD=xº-(180º-2x)
∠ABD=xº-180º+2xº
∠ABD=3xº-180º
Answer: ∠ABD=3xº-180º
Well, we should start by listing the factors
1,2,3,4,6,8,9,12,16,24,36,72
You can put these in pairs if it will help you,
1*72 2*36 3*24 4*16 6*12 8*9
If you look, you can see that in only one pair the length is twice the width.
So your answer is
W=6
L=12
Answer: y=-2x+8
Step-by-step explanation: Write a table of values where for every x y goes down 2 to find the y intercept (0,8) so it would be 8. The slope is -2 and that is all you need to write the equation.
Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D
