Determine whether this segment is tangent to the given circle.

It is not tangent

Step-by-step explanation:

If it were tangent, that angle A would have to equal 90 degrees since that just the definition of a line tangent to a circle, its perpendicular to the radius.  

If it were tangent, then we could use the pythagorean theorem to check if this is a right triangle and actually has angle A with 90 degrees.  a^2+b^2=c^2

4^2+12^2 does not equal 13^2.

If segment AC was 5, then it would be tangent but since its 4, the pythagorean theorem doesnt match up and therefore, it doesnt make a 90degree angle

If you dont understand my stupid explanation thats hard to explain then search this up on google

Using the Pythagorean Theorem to Determine Whether a Line is Tangent to a Circle

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.