Answer:
He is watching TV for 2 hours and 40 minutes.
Step-by-step explanation:
We are given that the episodes of a TV program are each 40 minutes long. Phill watches four episodes together.
As it is stated that the length of each episode of a TV program is 40 minutes, so the length of four episodes is given by;
1 episode = 40 minutes
4 episodes = 4 
40
= 160 minutes
So, the length of four episodes together is 160 minutes.
Now, we have to convert the time in hours and minutes;
As we know that 1 hour = 60 minutes
160 minutes = 120 minutes + 40 minutes
= 2 hours + 40 minutes
Hence, the length of four episodes together is 2 hours and 40 minutes.
Answer:
x=5
Step-by-step explanation:
9.
By the Segment Addition Postulate, SAP, we have
XY + YZ = XZ
so
YZ = XZ - XY = 5 cm - 2 cm = 3 cm
10.
M is the midpoint of XZ=5 cm so
XM = 5 cm / 2 = 2.5 cm
11.
XY + YM = XM
YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm
12.
The midpoint is just the average of the coordinate A(-3,2), B(5,-4)
Answer: M is (1,-1)
You'll have to plot it yourself.
13.
For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.
Answer: AB=10
M is the midpoint of AB so
Answer: AM=MB=5
14.
B is the midpoint of AC. We have A(-3,2), B(5,-4)
B = (A+C)/2
2B = A + C
C = 2B - A
C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)
Check the midpoint of AC:
(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good
Answer: C is (13, -10)
Again I'll leave the plotting to you.
Answer:
x = 1, y = -4
Step-by-step explanation:
7х + 2y = -1 ------ eq1
3х — 4y = 19 ------ eq2
multiply eq1 by 2
2 x (7х + 2y = -1)
14x + 4y = -2 -----eq3
by elimination, add equation 2 and 3
14x + 3x = 19-2
17x = 17 (divide both sides by 17)
x = 1 (answer)
substitute into eq1
7(1) + 2y = -1 (subtract 7 from both sides)
2y = -1 -7
2y = -8 (divide both sides by 2)
y = -8/2 = -4 (answer)
