Since a^2+b^2=c^2 becomes 20^2+b^2=29^2, we solve for b:
400+b^2=841
b^2=441
b=21
So the length of b is 21 units.
Hope this helped!
Answer:12 Protein bar and 3 magazines
Step-by-step explanation:
Given
Tom purchases Protein bars 3 times as much as magazine
Each bar cost
Each magazine costs
Sales tax is 6.5 %
suppose Tom buy x magazines so
Price of magazine is
Price of bars is
Total Price
After sales tax
This must be less than
so
thus
so he but 4 magazines and 12 protein bars
Answer:
Step-by-step explanation:
I didn’t see any choices but an inverse function switches the x and y values.
For every (x,y) of f(x) the inverse function will have (y,x) of f^-1(x)
Answer:
see explanation
Step-by-step explanation:
(a)
The angles are vertical and congruent, that is
x - 10 = 125 ( add 10 to both sides )
x = 135
-------------------------------------------------
(b)
Supplementary angles sum to 180°
The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then
2x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus
2x = 2 × 36 = 72
3x = 3 × 36 = 108
Then the 2 angles are 72° and 108°
To solve 10x-35+3ax=5ax-7a, we'll need to assume that a is a constant and that we are to solve for the variable x. To accomplish this, group all the x terms together on one side and all of the no-x terms on the other:
10x + 3ax - 5ax = -7a + 35
Factoring x out of the left side, we get:
x(10 - 2a) = 7(5 - a). Dividing both sides by (10 - 2a), we get:
7(5 - a)
x = ------------ = 7/2
2(5 - a)
x has the value 7/2.