Answer: x = 21°
Step-by-step explanation:
37 + 4x + (3x - 4) = 180° Original Equation
37 + 4x + 3x - 4 = 180° Commutative Property of Addition
7x + 33 = 180° Combine like terms
7x = 148° Subtract 33 from both sides
x = 21° Divide both sides by 7
I think you are correct actually.
Answer:
15.62 units.
Step-by-step explanation:
To commence with, find for the vector.
Points = (7,-5) and (2,-5)
7 + 2
-5 + -5
12
-10
Vector = 12
-10
Magnitude = y² + x²
Points = (12,-10)
-10² + 12²
100 + 144
244
Square root of 244 is 15.62
Therefore, the distance between the points is 15.62 units.
Hope it helps.
Answer:
They will be 170 miles apart at 10 AM
Step-by-step explanation:
Nancy has 15´ of head start which is 1/4 hr.
NHD = 20*(1/4) = 5 miles is her head start
Mark leaves at 7.15hs = starting point
Marks stop at when they are 170 miles apart = t
------------------------------
t = the time they are 170 miles apart
d= distance in miles Nancy travels in time t
170 - (d+5) = distance in miles Mark travels in time t
------------------------------
Nancy's equation:
(1) d = 20t
Mark's equation:
(2) 170 - (d+5) = 40t
---------------------------
(2) 170-d-5=40t
(2) d+40t=165
Substitute (1) into (2)
(2) 20t+40t=165
(2) 60t=165
(2) t=2.75
7:15 AM + 2.75 hrs (2:45hs) = 10 AM
They are 170 miles apart at 10 AM
check:
(1) d=20t
(1) d=20*2.75
(1) d=
55
---------------
(2) 170 - (d+5) = 40t
(2) 170 - (d+5) = 40*2.75
(2) 170 - d-5 = 110
(2) d=55
