Answer:
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is 
.
Because all the angles of a triangle sum to 
, we have that 
.
We combine like terms on the left side to get 
.
We subtract 
on both sides to get 
.
So, 
and we're done!
Ok so umm you need to do 5x4= 20 and divide 20 and 4 you get 5 and multiply 5x4 you get 20 and the answer is 20
Answer:
6:24 or 1:3 (this is reduced)
Step-by-step explanation:
I added 18 plus 6 together getting 24, which tells me that there are 24 flowers in Mr. Lopez's garden. I then set up the ratio as 6:24, but i knew that i could reduce it. (I'm noy sure if you want it reduced or not) So I divided both sides by 6 getting the ratio 1:3.
Hope this helps!
Let S represent the cost of use of Silver Gym for a month.
Let F represent the cost of use of Fit Factor for a month.
Let T represent the number of training sessions used in the month.
S = 45 +25T
F = 75 +15T
We want to find T so the costs are equal.
.. S = F
.. 45 +25T = 75 +15T
.. 10T = 30 . . . . . . . . . subtract 45+15T
.. T = 3 . . . . . . . . . . . . divide by 10
Sarah would have to buy 3 training sessions to make the cost at the two gyms equal.
Because no perfect squares are factors of 37, the most simplified that the square root of 37 can get is
√37, or approximately 6.08
