Answer:
31/14
Step-by-step explanation:
We first need to get common denominators, so we multiply the 16 and the 7 by 2, to get 32/12. Now we can subtract since the fractions have common denominators. After subtracting we get 31/14 or 2 3/14. Hope this helps!
Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Answer:
(x + 2)^2 + (y - 1)^2 = 2^2
Step-by-step explanation:
The equation of this circle is
(x + 2)^2 + (y - 1)^2 = r^2, and we are to determine the values of r^2 and r by substituting -4 for x and 1 for y:
(-4 + 2)^2 + (1 - 1)^2 = r^2, or:
(-2)^2 = r^2, or
4 = r^2
Then r = 2.
The desired equation is:
(x + 2)^2 + (y - 1)^2 = 2^2
Answer:
108 bottles
Step-by-step explanation:
4.536 divided by .042 equals 108
There are 5 sides on a pentagon. penta=5 sides
