Answer:

Step-by-step explanation:
Given:
Consecutive Terms: k-5, k+7, k+55
Required:
Determine the value of k
To do this, we make use of the concept of common ratio.
The common ratio (r) of a geometric sequence is:

In other words:

Where 1, 2 and 3 represents the terms of the progression/sequence
So:
becomes

Cross Multiply:

Open Brackets


Collect Like Terms


Solve for k


Answer:
a) (.25 mile/3.75 min) x 30 min = 2 miles
b) b
Step-by-step explanation:
-3y +4 = -11
-4 -4
-3y = -15
—— —-
-3y -3y
Y= 5
Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence
Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed.