Answer:
x = 89
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+32+ 59 = 180
Combine like terms
x + 91 = 180
Subtract 91 from each side
x +91-91= 180-91
x = 89
Answer:
Option B: 
Step-by-step explanation:
The parabola has its concavity downwards, so we need a function in the model:

With a negative value of 'a'
The vertex is (0,0), so we have that:


The x-coordinate of the vertex is given by the equation:



So we have a function in the model:

With a < 0
The only option with this format is B:

Answer:
c. 24 ft
Step-by-step explanation:
if the 12 inch ruler casts a 6 inch shadow (shadow has half size) then a tree with 12 feet long shadow will have a height of 24 feet
we are given

part-A:
Since, x is number of tablets
C(x) is cost of producing x tablets
so, vertical box is C(x)
so, we write in vertical box is "cost of producing x tablets"
Horizontal box is x
so, we write in horizontal box is "number of tablets"
part-B:
we have to find average on [a,b]
we can use formula

we are given point as
a: (15 , 395)
a=15 and C(15)=395
b: (20, 480)
b=20 , C(20)=480
now, we can plug values

...........Answer
part-c:
we have to find average on [b,c]
we can use formula

we are given point as
b: (20, 480)
b=20 , C(20)=480
c:(25,575)
c=25 , C(c)=575
now, we can plug values

..............Answer
The price of gasoline in this week is 1.05g. Option C
Step-by-step explanation:
Given,
The price of a gallon of gasoline = g in last week.
The price of gasoline increased by 5% this week.
To find the price of gasoline this week.
Formula
If an original price of an object a increased by b% the final price will be = a×
So,
The price of gasoline in this week = g×1.05 = 1.05g
[ Please note: Here option C and E have same value. So, both are correct].