Answer:
Step-by-step explanation:
Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.
35 + 80 + x = 180
115 + x = 180
x = 180 - 115
x = 65
Exterior angles are supplements of the interior angles.
So the exterior angle to 65 degrees is 180 - 65 = 115
And the exterior angle to 35 degrees is 180-35 = 145
The exterior angle to 80 degrees is 180 - 100 = 80
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
Answer:
1) p≥2
2) e-9=13
3) f<5
Step-by-step explanation:
1) If there are at least two slices left, there could be more, so use p≥2, meaning p is greater than or equal to 2.
2) e is your starting amount, so put that first, then it says it decreases by 9, so it is e-9=13.
3) If there are fewer than 5, it can not be 5 so you use <.
f<5 or gallons is less than 5.
I would say D. point G would be the correct answer
2:40 I think, but I may be wrong
