Answer:4
Step-by-step explanation:
Answer:
Part a) The radii are segments AC and AD and the tangents are the segments CE and DE
Part b) 
Step-by-step explanation:
Part a)
we know that
A <u>radius</u> is a line from any point on the circumference to the center of the circle
A <u>tangent</u> to a circle is a straight line which touches the circle at only one point. The tangent to a circle is perpendicular to the radius at the point of tangency.
In this problem
The radii are the segments AC and AD
The tangents are the segments CE and DE
Part b)
we know that
radius AC is perpendicular to the tangent CE
radius AD is perpendicular to the tangent DE
CE=DE
Triangle ACE is congruent with triangle ADE
Applying the Pythagoras Theorem

substitute the values and solve for CE





remember that
CE=DE
so

Answer
Find the cost of the meals before the tip.
To prove
As given
Emily takes her friend Darren out to eat for his birthday.
She pays a total of $45, which includes a 20% tip.
20% is written in the decimal form

= 0.20
Cost of the tip = 0.20 × 45
= $ 9
Thus
Cost of the meals before the tip = Cost of the meal with tip - tip cost
= $45 - $9
= $ 36
Therefore the cost of the meals before the tip is $36 .
Answer:
After 15 years both the colleges will have same number of students.
Step-by-step explanation:
The enrollment at sunshine College has been increased by 45 students per year. Currently, sunshine College has 1100 students attending.
So, after x years the number of students of this college will be (1100 + 45x).
Again, Marigold college currently has 2000 students, but its enrollment is decreasing in size by an average of 15 students per year.
So, after x years the number of students of this college will be (2000 - 15x).
If those two colleges have the same number of students after x years, then we can write
1100 + 45x = 2000 - 15x
⇒ 60x = 900
⇒ x = 15 years.
Therefore, after 15 years both the colleges will have the same number of students. (Answer)