Hello!
This is a problem about relating circle theorems to line lengths.
We can first see that both line segment MK and CM are secants within the circle that come from a common point K.
This means that the Intersecting Secant Theorem applies here.
The Intersecting Secant Theorem states that if two secants are formed from a common point outside the circle, the length of each secant multiplied by the length of its corresponding external secant are equivalent.
We can set up the following equation.





Using this value, we can find the length of line segment MK.



Hope this helps!
Answer:
see explaination
Step-by-step explanation:
1) Lets form the regression equation from the data results
Size = -1.633+ 0.4485*FamilyIncome + 4.2615*FamilySize - 0.6517*Education
-1.633+ 0.4485*40+ 4.2615*4 - 0.6517*13 =24.88
2) For the model to be reasonable, we must check the significant F stat from the anova table( see attachment)
From the table at attachment we can deduce; as the significant F is less 0.01 , we can safely conclude that the model is signifcant
3) all variables that have a p value less than 0.01 can be safely removed from the model as they do not contribute sigificantly from the model
so education can be removed from the model
The expression that can be used to show the relationship between the number of days and the total dollars (t) he spends is t = 30d
<h3>How to write expressions</h3>
- Cost of renting a car per day = $30
- Number of days Paul rents the car = d
- Total amount John spends = $t
The equation:
Total = cost per day × number of days
t = 30 × d
t = 30d
Learn more about equation:
brainly.com/question/13763238
Answer:
-2.75 degrees
Step-by-step explanation:
4 hours ----> Temp Changed by -11 degrees
1 hour ------> Temp changed by -11/4 = -2.75 degrees
Answer:
11 nights
Step-by-step explanation:
Our total budget: $137
First, let's deduct the cost to enter the park.
137 - 5 = 132
We have $132 to spend on the hotel.
Since the cost is $12 per night, we need to find out how many times $12 can go into $132. This is done using division.
132 / 12 = 11
As we can see, we can pay $12 eleven times until our money runs out.
Thus, we can stay at the camp for 11 nights!
Answer: 11 nights