Answer:
11 1/2 years old
Step-by-step explanation:
Let Amanda's age be a.
Let the company's age be c.
The company is 24 years older than Amanda. This means that:
c = 24 + a ______(1)
The sum of Amanda's age and the company's age is 121 years. This means that:
c + a = 121 ________(2)
Put (1) in (2):
24 + a + a = 121
2a = 121 - 24
2a = 97
a = 97 / 2 = 48 1/2 years
She has been there for 37 years, therefore, her age when she started working there is:
48 1/2 - 37 = 11 1/2 years old
NOTE: This age doesn't seem right but I worked based on the parameters given.
Answer:
see below
Step-by-step explanation:
Angles 1 and 5 are both outside (not between) the parallel lines, so are "exterior" angles. Angle 1 is on the northwest corner of the intersection; angle 5 is on the southeast corner, so they are not "corresponding." Rather, they are "alternate".
The only answer choice properly describing the angles also properly shows their measure:
Alt Ext ∠s Thm
∠1 ≅ ∠5 = 150°
_____
Since the angles are equal, you can write the equation ...
45x -30 = 20x +70
25x = 100 . . . . . . . . . add 30-20x
x = 4 . . . . . . . . . . . . . divide by 25
We can substitute this value into the expression for angle 5:
20x +70 = 20·4 +70 = 150 . . . . . the angle measures are 150°
22x-1/4x= 1
21.75x=1
x=0.046
Im not sure tho:) but probably its correct
Answer:
b
Step-by-step explanation:
When the object hits the ground , the h = 0 , that is
- 16t² + 54 = 0 ( subtract 54 from both sides )
- 16t² = - 54 ( divide both sides by - 16 )
t² = ( take square root of both sides )
t = ≈ 1.84 seconds ( to 2 dec. places )
Answer:
Step-by-step explanation:
the total cost for this question is $12.10.
let me know if this helped.