Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
Answer:
Step-by-step explanation:
a.) y = 25x + 15
b.) y is the total cost x is the amount of nights stayed 15 is the entrance fee and 25 is the cost per night
i.) x is the amount of nights stayed y is the total cost
ii.) slope (or m) is 25 y-intercept is 15
c.) plug in 3 for x
y = 25(3) + 15
y = 75 + 15
y = 90
its $90 for 3 nights
hope this helps <3
Answer:
x ≥ -7/2
Step-by-step explanation:
3 + 2x ≥ -4
Subtract 3 from each side
3-3 + 2x ≥ -4-3
2x ≥ -7
Divide each side by 2
2x/2 ≥ -7/2
x ≥ -7/2
Answer:
t = 2.11 seconds
Step-by-step explanation:
A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

Let us assume that we need to find the time by it to reach the ground. It means h = 0

The above is a quadratic equation. The value of t is given by :

So, it will take 2.11 seconds to reach the ground.
PLEASE JELP
What are the coordinates of the centroid of a triangle with vertices A(−6, 0) , B(−4, 4) , and C(0, 2) ? Enter your answers in the boxes.
For -3 1/3 you can use -10/3