Answer:
9 students chose duck
Step-by-step explanation:
The question says "6 <em><u>more</u></em> students chose duck <em><u>than</u></em> chose penguin"
This means that you would add 6 to the number that chose penguin, which is 3.
6 + 3 = 9
10% of $15 = 15/10= 1.5
1.5 x 2= 3 = 20%
15-3=12
Therefore the towel will be $12 with a 20% of coupon
y = mx + c
7 = 4(-8) + c
c = 39
The equation is y = 4x + 39
y - 7 = 4 ( x - (-8))
y -7 = 4 (x +8)
Answer:
centre = (- 3, - 2) , radius = 1
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )
x² + 6x + y² + 4y = - 12
Use the method of completing the square on the x and y terms
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4
(x + 3)² + (y + 2)² = 1 ← in standard form
with centre = (- (- 3), - (- 2)) and r² = 1, that is
centre = (- 3, - 2) and radius = 1
Answer:
The answer should be 69°
Step-by-step explanation:
Each line is being cut by a transversal, that means that the degree on the other side of it, added with the given degree will add up to 180°
1. On the right, you need to find the interior angle where 160° is outside so you subtract 180° from 160° to find the angle inside. That gives you 20°
2. On the top left you have 131° so 180°-131°=49°
Next you add the angles you have and then subtract it from 180 to get the interior angle with n° outside.
3. 20°+49°=69°
4. 180°-69°=111°
Then you do the same thing as the beginning which would be n°+111°=180°
5. n°+111°=180°, that means n=69°
Hopefully that clears it up for you :)
