Answer: x=100
Step-by-step explanation:
In parallelograms the opposite angles are equal. As the bottom left angle is 80° the opposite angle (top right), is also 80°. All 4 angles in a quadrilateral must add up to 360. Because you know 2 angles added together are 160° the other two angles must equal 200°. As opposite angles are equal you know 2x=200, divide by 2 x=100
Answer:
a.) 1.38 seconds
b.) 17.59ft
Step-by-step explanation:
h(t) = -16t^2 + 22.08t + 6
if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.
to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex
-b/2a
b=22.08
a=-16
-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds
now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.
h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.
approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.
for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.
Answer:
130
Step-by-step explanation:
? is an exterior angle of a triangle
An exterior angle is equal to the sum of the two opposite interior angles ( 35 and 95 in this case )
That being said the missing angle = 95 + 35
95 + 35 = 130
Hence, the answer is 130
Answer: option 2 is the better option
Step-by-step explanation: well in this case as you are trying to find the individual prices of the candy bars, you would divide the total price by the amount of candy bars. So in this case for the first problem, you would take the total price: $6.75 and divide it by 10. The answer to this would be .675 but you would round it up to .68 so that you have a two digit decimal. Therefore the answer is .68 cents for each candy bar.
you would repeat this process for the second problem. Total price: $7.25 divided by 12 (candy bars). The answer in this problem would then be .60 cents per candy bar. Once we see how much each would be, it is just a matter of seeing which price is higher. In this case, the second option is the better option.
Sorry this was long, that's how i explain things, but i hope this helps
As tgose lines are parallel then,
a = 140° ( by alternate interior angles)
then,
tha angle just below "a" on the other paralle line would also be 140° by corresponding angles,
using exterior angle property of triangle
66° + b = 140°
b = 140° -66
= 74°
