Answer:

Step-by-step explanation:
we have
----> equation A
----> equation B
Multiply the equation B by 2 both sides
------> equation C
Adds equation A and equation C

Find the value of y



the solution is the point 
< BDM = 45 <==
DM ( the angle bisector) divides < BDJ into 2 equal angles. And since < CDJ = 90, < BDJ = 90.....and the bisector splits < BDJ into 2 equal angles, so < BDM = 45 and angle JDM = 45
Answer:
About 15 miles per hour
Step-by-step explanation:
Using the formula, distance over time
55/3.5 = 15.714...
Answer:
Logic with the use of Truth Table
Step-by-step explanation: a) Oleg is a math major= P; Oleg is a economic major=Q; Oleg is required to take math 362=R; Oleg is not required to take 362=←R
b)i) Oleg is a math major or Oleg is an economic major:
P║ Q ║ P∨Q
T T T
T F T
F T T
F F F
ii) Oleg is a math major, then Oleg is required to take Math 362:
P║ R ║ P∧ R
T T T
T F F
F T F
F F F
iii) Oleg is an economic major or Oleg is not required to take Math 362:
Q║ ←R ║ Q ∨ ←R
T T T
T F T
F T T
F F F
c) It is valid because Oleg can only take Math 362 since Oleg is a math major, therefore, it follows that, R ∧ ( P ∨ Q) is valid.
Answer:
The radius of the circle is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to

we have

assume

substitute and solve for r


